Alessandro Enrico1, Valentin Dubois1, Frank Niklaus1, Göran Stemme1. 1. Department of Micro and Nanosystems, School of Electrical Engineering and Computer Science , KTH Royal Institute of Technology , SE-10044 Stockholm , Sweden.
Abstract
Single nanowires (NWs) have a broad range of applications in nanoelectronics, nanomechanics, and nanophotonics, but, to date, no technique can produce single sub-20 nm wide NWs with electrical connections in a scalable fashion. In this work, we combine conventional optical and crack lithographies to generate single NW devices with controllable and predictable dimensions and placement and with individual electrical contacts to the NWs. We demonstrate NWs made of gold, platinum, palladium, tungsten, tin, and metal oxides. We have used conventional i-line stepper lithography with a nominal resolution of 365 nm to define crack lithography structures in a shadow mask for large-scale manufacturing of sub-20 nm wide NWs, which is a 20-fold improvement over the resolution that is possible with the utilized stepper lithography. Overall, the proposed method represents an effective approach to generate single NW devices with useful applications in electrochemistry, photonics, and gas- and biosensing.
Single nanowires (NWs) have a broad range of applications in nanoelectronics, nanomechanics, and nanophotonics, but, to date, no technique can produce single sub-20 nm wide NWs with electrical connections in a scalable fashion. In this work, we combine conventional optical and crack lithographies to generate single NW devices with controllable and predictable dimensions and placement and with individual electrical contacts to the NWs. We demonstrate NWs made of gold, platinum, palladium, tungsten, tin, and metal oxides. We have used conventional i-line stepper lithography with a nominal resolution of 365 nm to define crack lithography structures in a shadow mask for large-scale manufacturing of sub-20 nm wide NWs, which is a 20-fold improvement over the resolution that is possible with the utilized stepper lithography. Overall, the proposed method represents an effective approach to generate single NW devices with useful applications in electrochemistry, photonics, and gas- and biosensing.
Entities:
Keywords:
crack lithography; gold nanodevices; metal nanowires; self-aligned electrodes; shadow mask evaporation; single nanowire devices
Nanowires (NWs) are one-dimensional nanoscale
structures, that is,
structures featuring a width and depth of a few tens of nanometers
or less but with a much longer length. As a result of their high surface-to-volume
ratios, NWs have interesting properties such as enhanced gas sensing,
controlled catalysis, and surface-enhanced Raman scattering.[1−5] NWs also have a broad range of applications in nanoelectronics,
nanomechanics, and nanophotonics.[6−10] The lateral dimension in single-crystalline NWs leads to quantum
confinement and ballistic transport effects, which are important for
field-effect transistor and single-electron transistor applications.[11−13] In light of these promising features, extensive research has been
dedicated in the last two decades to the fabrication of NWs and their
integration with electronics in a scalable fashion.A wide range
of techniques exist to produce NWs, such as epitaxial, chemical, and
thermal growth with and without template structures,[14−17] direct writing using focused ion beams (FIBs), and electron beam
lithography (EBL).[18−20] However, these methods are not compatible with large-scale
manufacturing of single NW devices (Figure a) because they rely on serial processes,
being either the scan-based lithographic step or the pick-and-place
strategy for each individual NW. Even when careful schemes are adopted
to avoid the handling of the individual NWs, bottom-up grown NWs have
a wide distribution of geometries and are possible for a limited set
of materials.[21] The lack of large-scale
manufacturing for single NW devices has been a major roadblock
in developing any application involving NWs outside a research laboratory.
A scalable alternative technique is sidewall lithography, which is
based on the conformal deposition of a thin film on prepatterned structures
and subsequent anisotropic etching.[22,23] However, this
method is only suitable for a limited number of NW materials, and
all NWs on a substrate necessarily have an identical width (defined
by the thickness of the deposited film), which severely limits the
flexibility of sidewall lithography.
Figure 1
Concept and realization of single NW devices.
(a) Conceptual drawing of a single NW device and (b) SEM image of
a fabricated device in a four-point configuration. Scale bar, 20 μm.
(c) Top-view SEM image of a fabricated single Au NW. Scale bar, 100
nm. (d) Lithographic patterning of a notched double-clamped beam structure
in the TiN layer. (e) Isotropic chemical etching of the Al2O3 layer and fracturing of the TiN bridge, leading to
nanogap formation. (f) Conceptual perspective view of a fabricated
crack-defined shadow mask after evaporation of a thin Au film, with
the formed single NW device on the SiO2–Si substrate.
(g) SEM image (side-view) of a formed Au NW below the TiN shadow mask.
Scale bar, 200 nm. (h) Process scalability. A 100 mm diameter wafer
was patterned using i-line stepper lithography (image on the left).
The top-view SEM image in the center shows a density of 40 000
shadow masks per square millimeter. The side-view SEM image on the
right displays a formed Au NW featuring a width of 15 nm. Scale bars:
5 μm for the top-view SEM image and 100 nm for the side-view
SEM image.
Concept and realization of single NW devices.
(a) Conceptual drawing of a single NW device and (b) SEM image of
a fabricated device in a four-point configuration. Scale bar, 20 μm.
(c) Top-view SEM image of a fabricated single Au NW. Scale bar, 100
nm. (d) Lithographic patterning of a notched double-clamped beam structure
in the TiN layer. (e) Isotropic chemical etching of the Al2O3 layer and fracturing of the TiN bridge, leading to
nanogap formation. (f) Conceptual perspective view of a fabricated
crack-defined shadow mask after evaporation of a thin Au film, with
the formed single NW device on the SiO2–Si substrate.
(g) SEM image (side-view) of a formed Au NW below the TiN shadow mask.
Scale bar, 200 nm. (h) Process scalability. A 100 mm diameter wafer
was patterned using i-line stepper lithography (image on the left).
The top-view SEM image in the center shows a density of 40 000
shadow masks per square millimeter. The side-view SEM image on the
right displays a formed Au NW featuring a width of 15 nm. Scale bars:
5 μm for the top-view SEM image and 100 nm for the side-view
SEM image.A promising fabrication alternative
potentially providing both material flexibility and scalable manufacturing
is shadow mask (or stencil) lithography.[24−26] In this approach,
a masking layer featuring nanogaps is interposed between the target
substrate and the source of the evaporated material in a highly parallel
fashion. Thus, the material is deposited only on the unmasked substrate
areas. Physical vapor deposition (PVD) allows a wide selection of
materials to be deposited for forming NW structures, and no postprocessing
after the deposition of the NW material is needed because no etching
or lift-off processes are involved to obtain single NWs. The dimensions
of the individual NWs and their positioning on the surface of the
substrate are also well controlled. However, if the apertures in the
shadow mask layer are in the sub-nanometer range, the reusability
of the stencil is limited, as it would need further processing to
clean the stencil after use, and these processes could damage the
stencil or modify the geometries of the nanoscale features. A single-use
stencil or limited reusability is an important concern if the definition
of nanoscale patterns is performed with slow and serial techniques
such as EBL, or FIB ablation, making this kind of approach unsuitable
for batch fabrication.To that end, several research groups
have investigated wafer-scalable alternatives to produce nanoscale
patterns for shadow mask lithography, including nanosphere lithography,
interference lithography, and membrane stacking.[27−33] However, these techniques are limited to periodic arrays of identical
structures, and achieving a fine dimensional control in the sub-100
nm range with this approach is still an open challenge. Moreover,
the use of stencils formed with these techniques would lead to the
formation of high-density vertical NWs, which is not ideal for the
realization of single NW devices. Moreover, the vertical structures
require one or more integration steps, during which the NWs are exposed
to chemical or coated with other materials, limiting the range of
possible applications. The possibility to produce planar NWs of the
arbitrary material is a great advantage for device prototyping.A scalable approach to produce shadow masks for the realization of
planar NWs is based on fracture and delamination (crack lithography)
approaches to generate nanoscale features in shadow masks or stencils
for NW fabrication, including approaches demonstrated on the wafer
scale.[34−40] However, these approaches result in poorly controlled NW networks
in which single NWs are not defined in a controllable and repeatable
way. The combination between optical lithography and crack formation
can generate single NWs with controlled position.[41−43] However, all
NWs on the substrate necessarily have the same width defined by the
batch thermal or chemical processes which generate the cracks. The
scalable fabrication of individual NWs featuring sub-20 nm widths
using crack lithography is, to the best of our knowledge, unreported
in previous works.[44−46]Here, we address the limitations in scalability
and control of existing fabrication approaches for single NW devices
and demonstrate the wafer-scale manufacturing of single NW devices.
In this work, we formed sub-20 nm wide nanogaps in a shadow mask layer
made of titanium nitride (TiN) by controlled crack formation in notched
beam structures.[47,48] The crack-defined nanogap structures
were used as shadow mask elements during PVD of the NW material to
realize single NW devices consisting of individual NWs that are electrically
connected to self-aligned contact pads (Figure b,c). In contrast to the alternative direct
writing techniques which could achieve the same high-resolution patterning,
our approach is suitable for large-scale manufacturing of single NW
devices with sub-20 nm widths because the crack-defined nanogaps are
obtained in a parallel and fully scalable processing scheme. We fabricated
single NWs featuring sub-20 nm widths realized using stepper technology,
thereby demonstrating the wafer-scale compatibility of our technique.
We also explored the compatibility of our technique with different
NW geometries and evaporated materials. In this case, we used EBL-defined
shadow masks because EBL is more suitable for rapid and efficient
adaptations of the patterns defining our experimental device structures.
Results
Shadow
Mask and Single NW Device Manufacturing
To realize single
NW devices, our approach consists of first generating nanogaps in
a shadow mask using controlled crack formation. For the shadow mask
formation, we used atomic layer deposition (ALD) to deposit a thin
film of a brittle material (TiN) with residual tensile stress, on
top of a sacrificial layer (Al2O3), on an oxidized
silicon (SiO2–Si) substrate. The TiN film was subsequently
patterned to obtain a doubly clamped beam structure with a notched
constriction (Figure d). Next, the notched beam structure was release-etched by wet chemical
etching of the sacrificial layer underneath. During the release-etching,
the notched constriction of the beam structure fractured as a result
of built-up stress. Dubois et al. have shown that an optimized geometry
of the notched beam can lead to a very high yield of fracture.[47,49] Upon fracture, the initially intact beam structure was split in
two separate cantilevers that released their tensile stress by contraction.
The contraction of the cantilevers defined a nanogap separating the
two cantilevers (Figure e), thereby completing fabrication of the shadow mask.Then,
we formed the single NW devices using a single step of PVD of the
selected NW material through the shadow mask. In the directional deposition
process, the evaporated material is free to pass through the crack-defined
nanogap in the shadow mask and lands on the target substrate, thereby
forming NWs. The deposition also produced large areas of the same
material directly connected to the NW extremities, which served as
electrical probing pads on the target substrate (Figure f). The NW positioning corresponded
to the placement of the crack-defined nanogaps, whose positions were
defined lithographically by the placement of notches, allowing for
high placement accuracy of the NWs on the surface of the substrate
(Figure g).
Scalable
Manufacturing of Single NW Devices
The shadow masks presented
in this paper were produced by either EBL or i-line stepper lithography.
We used EBL to pattern the beam structures as a proof of concept and
to have flexibility in adjusting designs of the shadow mask for the
morphological and electrical characterization of the NWs. On the basis
of the optimized design, we then generated a lithographic mask and
used i-line stepper lithography (nominal resolution ≈ 400 nm)
to demonstrate that the fabrication of the shadow masks can be massively
parallelized using optical lithography. In both cases, because the
sub-20 nm features of the nanogaps are crack-induced, we avoid the
need to pattern them directly, which would require high-resolution
serial patterning techniques. We achieved wafer-scale patterning and
release-etching of the shadow masks and generated sub-20 nm nanogap
features on a 100 mm diameter silicon (Si) wafer in a highly parallel
fashion (see Experimental Section for details on the fabrication of
stepper-defined shadow masks defined by stepper lithography). The
shadow mask geometry has been adjusted to comply with the resolution
capability of conventional stepper lithography and to achieve crack
formation during the release-etching of the shadow mask.After
evaporation, we used scanning electron microscopy (SEM) to confirm
the formation of NWs using a stepper-defined shadow mask with sub-20
nm wide crack-defined nanogaps (Figure h). Compared with the nominal resolution of the stepper,
this is a 20-fold improvement in lateral resolution of the resulting
structures. Considering a density of 40 000 shadow masks per
square millimeter, it is possible to fabricate more than 25 000
single NW devices on a single 100 mm diameter wafer, using the same
dimensions as the device shown in Figure c. The complete process takes 10–15
h of cleanroom processing, depending on the number of materials and
steps of depositions. Moreover, Dubois et al. have shown a 99.7% cracking
yield over 1200 devices using stepper lithography, demonstrating the
reproducibility of the controlled crack formation in combination with
batch lithography.[49]
Dimensional
Accuracy of Controlled Crack-Defined Nanogaps
Besides the
possibility to produce large numbers of single NW devices
in a highly scalable fashion, our methodology allows the control of
the width WNW and length LNW of each and every NW with nanoscale accuracy. This
is because WNW and LNW are set by the width WNG and
length LNG of the crack-defined nanogaps,
respectively, both of which are defined by the lithographic pattern
of the shadow masking cantilevers. Specifically, WNG is controlled by the length LSM of the suspended part of the cantilevers (Figure a).[47]WNG and LSM are in a first-order approximation proportional to each other with
the stored elastic strain ε of the TiN layer as proportionality
constant withwhere ε is equal to the internal stress of the
electrode layer, s, divided by its Young’s
modulus: E
Figure 2
Control of the nanogap and NW dimensions. (a)
Schematic illustration and top-view SEM image of a crack-defined nanogap
in the TiN layer. The nanogap width WNG is in a first-order approximation equal to the length LSM times the stored elastic strain ε in the TiN
layer. The nanogap length LNG is defined
by the width of the notched constriction WCC. Scale bar, 200 nm. (b) Graph showing the proportionality between
the micrometric length of the suspended shadow mask and the nanometric
width of the nanogap. The resulting fit is in agreement with the previous
results on crack-defined nanogap generation.[35] (c) Schematic depiction and top-view SEM image of a formed single
NW. The NW length LNW and width WNW are defined by WCC and WNG, respectively. Scale bar, 200
nm. (d) Graph comparing the measured WNG and the resulting WNW for Au and Pd
NWs.
Control of the nanogap and NW dimensions. (a)
Schematic illustration and top-view SEM image of a crack-defined nanogap
in the TiN layer. The nanogap width WNG is in a first-order approximation equal to the length LSM times the stored elastic strain ε in the TiN
layer. The nanogap length LNG is defined
by the width of the notched constriction WCC. Scale bar, 200 nm. (b) Graph showing the proportionality between
the micrometric length of the suspended shadow mask and the nanometric
width of the nanogap. The resulting fit is in agreement with the previous
results on crack-defined nanogap generation.[35] (c) Schematic depiction and top-view SEM image of a formed single
NW. The NW length LNW and width WNW are defined by WCC and WNG, respectively. Scale bar, 200
nm. (d) Graph comparing the measured WNG and the resulting WNW for Au and Pd
NWs.Moreover, LNG is defined by the width WCC of
the notched constriction of the cantilever where the crack propagates.
Because WCC and LSM are independent geometrical variables defined lithographically,
so are LNG and WNG. We will later see that this geometrical control of the
crack-defined nanogap dimensions is translated into NWs of similarly
well-defined dimensions after PVD.An SEM analysis of a total
of 50 devices and 5 devices per design confirms that the widths of
the nanogaps obtained from different shadow mask designs are linearly
proportional to the total length of the suspended shadow mask, as
predicted by eq (Figure b). The value of
the proportionality constant is comparable to what was previously
reported for the same stack of materials but different thicknesses
of the sacrificial layer.[47]
Fabrication
and Morphological Characterization of Individual NW Devices
To demonstrate the ability to control the geometry of the NWs, we
used EBL for prototyping, varying the geometry of the notched beam
structures, and then performed a PVD (Figure c). We designed NWs with two distinct lengths LNW, which were defined by the widths of the
notched constrictions of the suspended beam structures WCC, namely, 400 and 250 nm. For each NW length design,
we included a subset of different designs for shadow mask length LSM, ranging from 4 to 6 μm, in steps of
0.5 μm to obtain NWs featuring small but controllable increments
in widths. Here, we chose gold (Au) as the evaporated NW material
because it allows high-resolution imaging of the resulting nanostructures
using SEM. Au further exhibits various interesting electrical, chemical,
and plasmonic properties, which makes it a highly relevant material
for NWs with a wide range of applications. We repeated the study with
palladium. Palladium (Pd) is a noble metal featuring strong electrocatalytic
properties, and palladium NWs are utilized for sensing application,
in particular as high-performance hydrogen sensors.[50,51] It cannot be easily patterned using lift-off masks made of photoresists
because of its high melting point.The SEM analysis of five
Au and five Pd NWs per design confirmed the successful implementation
of our method, whereby different shadow mask designs produced different
geometries of the resulting NW structures (Figure S1). The NW geometries were further characterized by removing
the suspended shadow mask. This was done by applying an adhesive tape
to the TiN shadow mask layer and peeling off the tape. SEM analysis
confirms that the suspended cantilevers are effectively removed with
this simple method, thereby leaving the NWs unmasked and accessible
for precise visual characterization. The linear fit of the relation
between the width WNG of the crack-defined
nanogap in the shadow mask layer and the width WNW of the resulting NW indicates a faithful transfer of the
geometry from the shadow mask to the formed NW (Figure d). Because WNG is controlled by LSM, we were able to
control the geometry of the NW by tuning the micrometric geometry
of the shadow mask pattern, which can be realized with optical lithography,
as we have demonstrated. Changing the length of the initial beam structure
by 500 nm leads to around 2 nm difference in the NW width, thereby
allowing very fine control of NW dimensions, even for large tolerances
in the pattern generation of the initial beam structures. It is worth
noting that the Pd NWs tend to be wider than the Au NWs.To
investigate the reason of this difference and test the versatility
of our approach in terms of NW materials, we produced single NW structures
made of various materials such as gold, platinum, palladium, tungsten,
tin, and metal oxides (Figure S2). We observed
that the suspended shadow mask behaves as a bimorph cantilever, bending
out of plane. This bending mostly occurs during the evaporation, as
the deposited material on the suspended shadow masks cools down. The
amount of bending is a function of the temperatures, thicknesses,
and thermal and mechanical properties of the deposited NW material
and the TiN layer of the shadow mask, and it should be therefore predictable
and repeatable. Longer cantilevers are softer, so bending has a stronger
influence than on short cantilevers. Importantly, it was observed
that the extent of shadow mask bending is a function of the out-of-plane
stiffness of the cantilevers in the shadow mask layer, as well as
the thickness and mechanical properties (such as residual stress and
elastic modulus) of the deposited material(s). In particular, it appears
that the deposition of Pd generates more out-of-plane bending in the
shadow mask as compared to that of Au. Nevertheless, the resulting
nanogap widening is not exceeding 10% of the initial WNG.
Complete Single NW Devices with Self-Aligned
Contact Pads
The formed NWs are connected to large areas
that are used for electrical contacts. To establish an optimal electrical
connection, it is useful to have a thicker layer of conductive materials
than the one forming the NWs. In our approach, a thick layer for contact
metallization can be obtained during the same deposition step that
produces the thinner NWs. When a sufficiently thick layer of the NW
material is deposited, narrow nanogaps become closed off, which can
be exploited for self-aligned metallization, or passivation, of the
electrical contacts (Figure a). The closing of nanogaps is the result of deposition of
the evaporated material at the edges and sidewalls of the shadow mask
in the nanogap areas. This deposition-induced nanogap narrowing is
significant when WNG approaches the thickness
of the evaporated material, which is the case for our sub-20 nm crack-defined
nanogaps. Here, we exploit nanogap closure to form self-aligned contact
pads at the end of nonmetallic NWs for easy device integration without
any additional lithographic step (Figure b). In fact, more of the same or different
materials can be deposited for electrical connection or passivation
of the areas connected to the NW, without being deposited on the NW
site. As a proof of concept, we deposited tin oxide (SnO2) to form single NW devices until the nanogaps were closed. Then,
we deposited Au as the electrical contact layer. During this deposition,
the SnO2 NW was protected by the closed nanogap in the
shadow mask, while the large areas at the ends of the NW were metalized
in a self-aligned fashion. In the atomic force microscopy (AFM) image,
the metal oxide NW can be distinguished from the rest of the thicker
Au-coated surfaces (Figure c). As an additional feature, self-aligned passivation of
metal contacts can be obtained when an electrically insulating material
is evaporated after nanogap closure.
Figure 3
Fabrication schemes for contact metallization
of single NWs. (a) Schematic drawing of nanogap closure. (b) Schematics
for self-aligned contact metallization for closed nanogaps. (c) AFM
image of a single NW with metal contacts, where we first deposited
SnO2 until nanogap closure and then deposited Au to create
self-aligned electrical probing pads connecting the NW. Scale bar,
200 nm. The AFM image provides a clearer view of the SnO2 NW. (d) Schematic drawing of a nonclosed nanogap due to out-of-plane
deformation of the shadow mask during deposition. (e) Schematic drawing
for self-aligned contact metallization for nonclosed nanogaps. (f)
SEM top-view image of a single NW, where WO3 was deposited
without achieving nanogap closure. The subsequent oblique angle evaporation
of Au then achieved contact metallization without forming a second
NW, which would have otherwise covered the WO3 NW. Scale
bar, 200 nm.
Fabrication schemes for contact metallization
of single NWs. (a) Schematic drawing of nanogap closure. (b) Schematics
for self-aligned contact metallization for closed nanogaps. (c) AFM
image of a single NW with metal contacts, where we first deposited
SnO2 until nanogap closure and then deposited Au to create
self-aligned electrical probing pads connecting the NW. Scale bar,
200 nm. The AFM image provides a clearer view of the SnO2 NW. (d) Schematic drawing of a nonclosed nanogap due to out-of-plane
deformation of the shadow mask during deposition. (e) Schematic drawing
for self-aligned contact metallization for nonclosed nanogaps. (f)
SEM top-view image of a single NW, where WO3 was deposited
without achieving nanogap closure. The subsequent oblique angle evaporation
of Au then achieved contact metallization without forming a second
NW, which would have otherwise covered the WO3 NW. Scale
bar, 200 nm.The self-aligned metallization
and passivation concepts also work without nanogap closure, which
is, for example, the case when the cantilevers in the shadow mask
exhibit significant out-of-plane deformation after the deposition
of a specific combination of materials and thicknesses (Figure d). This is the case for certain
combinations of materials and thicknesses (see Figure S2 in the Supporting Information). In this case, it is
possible to selectively metalize or passivate the probing pad areas
at the NW ends by exploiting angled evaporation in combination with
the high aspect ratio between the nanogap height and width (Figure e).[52] The high aspect ratio of the nanogap prevents the formation
of a second NW made of Au, allowing metallization of the contacts
without short-circuiting or covering the NW. As a proof of concept,
we deposited tungsten oxide (WO3) to form single NW devices
by positioning the surface of the sample perpendicularly to the vapor
incidence direction. We then tilted the sample to achieve 45°
of inclination between the normal of the sample surface and the vapor
incidence direction and deposited a Au layer. SEM analysis confirmed
the successful metallization of the contact pad areas without the
formation of a second NW structure made of Au (Figure f). The resulting metal contacts are not
positioned at the exact extremities of the NW because the angle of
the deposition shifts the position of the Au notches with respect
to the previously formed NW.
Electrical Characterization of Au and Pd
Single NW Devices
To establish that the controlled NW geometry
translates into a precise predictable electrical behavior of the NWs,
we characterized the electrical resistance of different Au and Pd
NWs, using a four-point measurement configuration (Figure a). The Al2O3 etching undercuts the shadow mask layer, preventing short-circuiting
between the shadow mask layer and the single NW devices. In this way,
electrical probing of the NWs could be performed directly after evaporation,
without the need for further processing steps. As previously described,
the formed NWs were readily connected to electrical probing pads consisting
of the respective metal material. We have found a linear Ohmic-like
behavior in the 0.1–1 mV range while cycling the current through
the NW devices (Figure b). We then tested the resistance of NWs with respect to their width
for both Au and Pd NWs. The resulting values of resistance are demonstrating
control and predictability of the NW resistances based on the design
parameters of the crack-defined nanogaps in the shadow mask.
Figure 4
Electrical
characterization of single NW devices. (a) Four-point configuration
for electrical characterization, with top-view SEM images of a complete
device and inset with a single NW. Scale bars: 20 μm for the
complete device and 200 nm for the inset. (b) I–V curves of single NW devices made of Au and Pd featuring
the same geometry, exhibiting linear I–V relations. The width and length of the NWs were 20 and
400 nm, respectively. The values of resistance of the NWs are approximately
1 order of magnitude higher than the ones calculated using the bulk
sheet resistance for Au and Pd, indicating that the electrical conduction
is influenced by the surface roughness scattering in the polycrystalline
NW structures. (c,d) Graph showing the electrical resistance of single
NW devices made of Au and Pd vs WNW, respectively.
Electrical
characterization of single NW devices. (a) Four-point configuration
for electrical characterization, with top-view SEM images of a complete
device and inset with a single NW. Scale bars: 20 μm for the
complete device and 200 nm for the inset. (b) I–V curves of single NW devices made of Au and Pd featuring
the same geometry, exhibiting linear I–V relations. The width and length of the NWs were 20 and
400 nm, respectively. The values of resistance of the NWs are approximately
1 order of magnitude higher than the ones calculated using the bulk
sheet resistance for Au and Pd, indicating that the electrical conduction
is influenced by the surface roughness scattering in the polycrystalline
NW structures. (c,d) Graph showing the electrical resistance of single
NW devices made of Au and Pd vs WNW, respectively.Moreover, we plotted the resistance
of NWs with respect to their width for Au and Pd NWs (Figure c,d). The resistance of the
NWs expectedly decreases with increasing WNW, confirming the ability to control the resistance of the NW structure
via the width of the crack-defined nanogaps of the shadow mask. The
electrical resistance of the formed single NWs has a nonlinear dependence
of the WNW for both metals. This nonlinear
dependence is partially due to the gap narrowing effects during evaporation.
The decreasing WNG is affecting the amount
of material deposited on the substrate and so the NW thickness tNW. As a consequence, the NW cross section is
decreased, which was confirmed by the AFM measurements of the tNW for different WNG (Figure S3). The reduction in tNW is also reflected in the increasing standard
deviation of the resistance and in the decreasing yield of obtaining
electrically measurable NWs for increasingly narrow NWs. This is particularly
noticeable for Au NWs, for which almost no out-of-plane deformation
of the shadow mask occurs to compensate for the gap narrowing. Another
factor potentially contributing to the nonlinear behavior observed
in Figure c is the
electrical properties of thin metallic films and NWs with decreasing
material thickness. For sub-20 nm thick films, the resistivity can
increase by orders of magnitude because of surface scattering and
grain boundary effects, as described by Fuchs–Sondheimer and
Mayadas–Shatzkes models.[53−55]
Discussion
The
presented methodology allows the fabrication of single NW devices
in a scalable fashion. The large number of devices that can be reliably
produced in a short time is interesting both for industrial applications,
where single NW devices have to be produced in large quantities and
for rapid and scalable prototyping in a research environment. In fact,
the manual isolation of individual NWs and contact patterning for
a very limited number of devices takes comparable or even longer time
than a full wafer processing round with our technique, which can produce
up to 5000 single NW devices per square centimeter simultaneously
using space-efficient management of probing pads. Moreover, the nanoscale
patterns are formed by controlled-crack formation in the TiN layer,
which is induced by built-up of stress during the wet etching of the
Al2O3 sacrificial layer. This high-yield batch
process bypasses the needs for stencil reusability and the challenges
associated with the cleaning of conventional stencils with sub-20
nm features. Instead, a limit of our technique is that only narrow
lines can be produced by controlled crack lithography. Although this
is a limitation to the general use of crack-defined nanogaps for the
manufacturing of shadow masks and stencils, it is perfectly fitting
the application as shadow masks for single NW devices.The predictable
and controllable dimensions of the crack-defined nanogaps in the shadow
mask are passed on to the NWs during the evaporation step, as confirmed
by the SEM, AFM, and electrical results. The described process can
be used to form single NWs featuring controlled positions, dimensions,
and widths as narrow as 13 nm. The characterized values of the electrical
resistance of the single NW devices are constant given a specific
design and well-discriminated between different designs (Figure c,d). Therefore,
the effective cross section of the NWs can be controlled with the
microscale lithographic pattern of the shadow mask layer. This is
a further confirmation of the ability to control the NW geometry with
nanoscale precision. This level of dimension control, coupled with
the ability to generate different NW geometries in terms of thickness
and width on the same substrate, is the main advantage of this technique
with respect to previous reports of cracking-assisted fabrication.[41,43] Moreover, the TiN layer is a hard mask that is compatible with high
temperature or ultrahigh vacuum deposition. Compared to conventional
stencil lithography, the use of controlled crack formation in suspended
beam structures allows us to bypass the challenges associated with
fabricating nanogaps in shadow masks while preserving the nanometric
precision in geometries and positions. Additionally, ALDAl2O3 and TiN are widespread processes that are known to
be highly uniform in thickness and in material properties over large
wafer sizes, which is why they have made it to the semiconductor industry.[56] Thus, we expect our methodology to be readily
scalable to larger wafer sizes without compromising on the uniformity
of the NW dimensions.However, ALDTiN is a polycrystalline
material that preferentially cracks along grain boundaries.[47] The jagged geometry of the crack path affects
the geometry of the nanogap and ultimately of the NW. Solutions to
improve this issue include lowering the grain size by means of lowering
the substrate temperature, although care has to be taken to avoid
affecting the residual tensile stress responsible for the controlled
crack formation. Another solution would be to use a single-crystalline
material instead of the polycrystalline TiN layer. This approach could
potentially also improve the predictability of the crack path but
would severely limit process integration and accessibility of the
method.The presented technique is compatible with different
NW geometries and evaporated materials but has constraints in the
fundamental limits of shadow mask lithography. It is not possible
to form single-crystalline NWs using electron beam evaporation. In
this sense, our work does not compete with technologies based on the
bottom-up growth of single-crystalline NWs of well-established materials
such as silicon or zinc oxide. Instead, the technique provides an
opportunity to generate NWs of individually controlled geometry and
position from materials which are not available in the former approach.
The compatibility of shadow masking with PVD implies that virtually
any PVD-compatible material is compatible. The growth mechanisms by
island coalescence is also affecting the possible geometries and degree
of crystallinity of the NWs. The evaporated material landing on the
surface of the substrate grows by first forming disconnected islands.
The surface diffusion and the critical thickness that the islands
need to reach for coalescence are fundamental limits to the minimum
thickness and cross section of NWs formed by evaporation on a nonengineered
surface. Moreover, the electrical conduction is influenced by tunneling
and hopping-assisted transport between the NW grains.[57] To improve the conduction and lower the resistance of the
NWs, the substrate could be treated prior to deposition to limit that
diffusion and enhance the growth of more crystalline (larger grain
size) NWs. Another approach is to increase the deposited thickness
to be well above the average grain size of the NW material to achieve
the standard value of sheet resistance values. We have shown that
our technique is compatible with a relatively thick sacrificial layer
(up to 200 nm for the EBL-defined nanogaps), which allows for thicker
films or stacks of different materials while still ensuring electrical
insulation from the top TiN layer. Nevertheless, the observed I–V relations of the formed NWs
are Ohmic-like in the 0.1–1 mV range. This linear I–V behavior in the low-power regime is ideal
for sensing application.A common issue in shadow mask lithography
is the blurring, defined as a broadening of the geometrical dimensions
of the evaporated structure of the substrate with respect to the shadow
mask feature.[58,59] In
our study, the high crack height to crack width aspect ratio tends
to limit the geometrical blurring, and the halo-blurring effect caused
by the surface diffusion of the material atoms landing on the substrate
was minimized by the low substrate temperature and deposition rate.
As a result, we could not observe any significant blurring affecting
the NW geometry.
Conclusions
In summary, we have
developed a method utilizing scalable shadow mask lithography to produce
single NW devices featuring sub-20 nm NW widths. A wide range of materials
can be used for the NWs with a variety of electrical, chemical, and
optical properties. By relying on controlled crack formation to generate
the nanogaps in the shadow mask, we were able to form nanoscale structures
using a scalable manufacturing approach. We prepatterned the shadow
mask with >200 nm critical feature size and formed crack-defined
nanogaps with sub-20 nm controllable widths. We have also demonstrated
the compatibility of this fabrication method with i-line stepper lithography,
thus achieving a 20-fold improvement in resolution with respect to
the nominal resolution of our stepper. The combination of scalable
manufacturing, dimensional control, and self-alignment of the NWs
to the electrical contacts and probing pads makes this approach attractive
for large-scale realization of NW devices targeted at applications
in gas sensing, micro-optics, and spintronics. Additional features
such as cantilever removal, nanogap closure, and angle evaporation
allow the fabricated single NW devices to work in in-liquid conditions
and the possibility to contact nonmetallic NWs without additional
fabrication complexity.
Experimental Section
Fabrication
of Crack-Defined TiN Shadow Masks Defined by EBL
A 100 mm
diameter, 525 μm thick p-doped single-crystalline silicon wafer
(100) was used as the substrate. A 2.5 μm thick SiO2 layer was thermally grown on the silicon wafer by wet oxidation.
Then, a 200 nm thick layer of Al2O3 and a 70
nm thick layer of TiN were deposited successively using ALD without
breaking the vacuum in between the two deposition steps. Al2O3 was deposited at a temperature of 200 °C in 2000
cycles using trimethylaluminum (pulse time 70 ms, purge time 500 ms)
and water (H2O, pulse time 175 ms, purge time 750 ms) as
precursors. TiN was deposited at a temperature of 350 °C in 2000
cycles using titanium tetrachloride (TiCl4) (pulse time
150 ms, purge time 500 ms) and ammonia (NH3) (pulse time
1 s, purge time 1 s) as precursors. The probing pads and notched beam
structures were patterned in the TiN film using a 180 nm thick e-beam
lithography mask (positive resist, ZEP7000, Zeon Chemicals, Japan;
exposed in a Raith e-beam system at 25 keV acceleration voltage with
an area step size of 8 nm and an area dose of 84 μA s/cm2) in combination with an anisotropic plasma etch (Applied
Materials Precision 5000 Etcher) at a chamber pressure of 200 mTorr
and a radio frequency (RF) power of 600 W in a mixture of boron trichloride
(BCl3) at 40 sccm flow, chlorine (Cl2) at 15
sccm flow, nitrogen (N2) at 15 sccm flow, and tetrafluoromethane/oxygen
(CF4/O2) at 15 sccm flow. The resist mask was
subsequently removed by a combination of wet stripping with a remover
(Rem700, Micro Resist Technology, Germany) at 60 °C for 120 s
and a dry plasma cleaning (PVA TePla model 300 Plasma System). The
ashes resulting from the plasma cleaning were removed by rinsing the
samples with a remover (Microposit remover 1165, MicroChem). The beam
structures were released by the sacrificial isotropic etching of the
Al2O3 layer in a KOH bath at room temperature
for 80 min, forming the cracks in the beam structure and thereby creating
the nanogaps that were used to define the NW structures. Thereafter,
the devices were dried using a critical point dryer (BalTec CPD 408),
thus preventing stiction of the suspended cantilevers to the substrate
by avoiding liquid–air interfaces in the drying process.
Fabrication of Stepper-Defined Shadow Masks Defined by Stepper Lithography
For this experiment, the same substrate and material stacks were
used but with different layer thicknesses (50 nm Al2O3, 70 nm TiN). The notched bridges in the TiN layer were first
defined in a resist mask (MEGAPOSIT SPR-700) on the wafer scale using
a projection stepper system (Nikon NSR TFHi12 I-line Stepper, dose
190 mJ/cm2). The resist mask was hard-baked for 60 s at
110 °C. The resist mask was transferred to the TiN layer by an
anisotropic plasma etch (Applied Materials, Precision 5000 Etcher,
at a chamber pressure of 200 mTorr and an RF power of 600 W using
a mixture of BCl3 at 40 sccm flow, Cl2 at 15
sccm flow, CF4–O2 at 15 sccm flow, and
N2 at 15 sccm flow for 40 s). The resist mask was subsequently
removed with a remover (MicroResist Rem-700) at 60 °C for 5 min.
The TiN-notched bridges were released by wet chemical etching of the
aluminum oxide sacrificial in an aluminum etch solution (MicroChemicals)
for 35 min at 65 °C.
Formation of Single NW Devices by PVD through
Crack-Defined Shadow Masks
We used the TiN shadow mask with
the cracked cantilevers to define single NWs with connected electrical
probe pads on the SiO2–Si substrate using a Provac
PAK 600 electron beam evaporation system. The NWs were generated by
line-of-sight evaporation through the defined cracks on the cantilevers
of the shadow mask. To obtain line-of-sight evaporation, the chips
with the shadow mask were mounted on the planetary holder of the evaporator
at a distance of 50 cm from the material crucible, with the cantilever
plane being at a 90° angle with respect to the direction of the
impinging evaporated molecules. The planetary holder with the material
target was kept still (no rotation) during evaporation. The processing
chamber was kept at a pressure of below 7 × 10–7 mbar, providing a long mean free path for the molecules. To improve
the resolution of the fabricated NWs, we attempted to reduce the average
dimension of the evaporated particles by keeping the material deposition
rate below 0.4 Å/s. This was achieved by setting the electron
beam parameters to 15 kV and 80 mA. Minimizing the electron beam power
also helped in reducing out-of-plane bending of the suspended cantilevers,[60] resulting from thermal expansion mismatch between
the TiN cantilevers and the deposited NW material. To demonstrate
the flexibility of our methodology in terms of materials for the NWs,
we realized and evaluated Au and Pd NWs. To promote material growth
and enhance adhesion to the substrate, a 2 nm layer of chromium (Cr)
was evaporated, prior to deposition of the desired NW material. Information
about the evaporation of other materials is available in the Supporting Information.
SEM Evaluation of WNG in Shadow Masks and Resulting NW Widths
All NW designs were evaluated by measuring both the widths of the
nanogaps in the shadow mask and of the resulting NWs using a ZEISS
Ultra-55 SEM with no sample tilt. Each data point in Figure b,c corresponds to the average
of the measurements of five devices, and the error bar corresponds
to the reading error of WNG from the SEM
images. The image resolution was 2048 × 1536 pixels or higher,
and the minimum magnification was 180 000×. The measurement
error of WNG and WNW using the SEM images was estimated to be 2 nm
and it was caused by a combination of image blur of the edges
of the nanostructures during image acquisition and manual
placement of the measurement bars to define the NW edges
using the built-in software measurement tool. The linear fits are
obtained using the least squares method with regression through the
origin. For top-view SEM images, the shadow masks were removed after
PVD of the NW material, by applying an adhesive tape on the shadow
mask layer and then removing the tape together with the suspended
cantilevers.
Sample Preparation and AFM Thickness Evaluation
of NW Structures
To perform an AFM analysis of the NW structures,
the suspended cantilevers were removed after the evaporation step.
This was done by applying an adhesive dicing tape (1007R-8.5 Silicone
Release Agent-free Blue Adhesive Plastic Film, 80 μm thickness,
SPS-Europe BV, The Netherlands) on the TiN layer so that the suspended
shadow mask cantilevers could adhere to the tape. When the tape was
stripped from the sample, most of the suspended cantilevers were mechanically
removed. A successive rinsing with deionized water removed debris
generated during the removal procedure (see the Supporting Information). After cantilever removal, the NW
structures were analyzed using a Bruker FastScan AFM system in in-liquid
peak force mode.
Electrical Characterization of the Single
NW Devices
The NW structures were connected to electrical
probing pads in the same layer and made of the same material. The
insulating substrate (SiO2) ensured electrical conduction
through the NW structure only. We also verified the electrical isolation
of single NW devices with respect to the rest of the shadow mask layer,
by placing one probe on the contact pads of the NW device and one
on the surrounding TiN layer, measuring resistances larger than GΩ.
The line-of-sight deposition through the suspended shadow mask resulted
in electrical insulation of the single NW devices on the SiO2 substrate with respect to the TiN shadow mask layer and thus testability
of the single NW devices. Single NW devices were tested using a Cascade
Summit 11000 semiautomated probe system and a Keithley 4200-SCS semiconductor
characterization system in a four-probe configuration. For the I–V curves, we swept the current
from 200 nA to 1 μA and measured the voltage drop across the
NW. After the set current reached 1 μA, the current was ramped
in the opposite direction to return to 200 nA in order to detect possible
hysteretic effects. The measurements were performed at (23.5 ±
1) °C and at (30 ± 1)% relative humidity. Each data
point presented in Figure c,d corresponds to the average of the electrical resistance
measurements of up to five devices. NWs whose resistance was too high
to be properly measured were discarded in this graph. The error bar
corresponds to the standard deviation.
Authors: John F Fennell; Sophie F Liu; Joseph M Azzarelli; Jonathan G Weis; Sébastien Rochat; Katherine A Mirica; Jens B Ravnsbæk; Timothy M Swager Journal: Angew Chem Int Ed Engl Date: 2015-12-11 Impact factor: 15.336