Jin-Hyeok Jeon1, Won-Ju Cho1. 1. Department of Electrical Materials Engineering, Kwangwoon University, Seoul 139-701, Korea.
Abstract
The sensitivity of conventional ion-sensitive field-effect transistors (ISFETs) is limited by the Nernst equation, which is not sufficient for detecting weak biological signals. In this study, we propose a silicon-on-insulator-based coplanar dual-gate (Cop-DG) ISFET pH sensor, which exhibits better performance than the conventional ISFET pH sensor. The Cop-DG ISFETs employ a Cop-DG consisting of a control gate (CG) and a sensing gate (SG) with a common gate oxide and an electrically isolated floating gate (FG). As CG and SG are capacitively coupled to FG, both these gates can efficiently modulate the conductance of the FET channel. The advantage of the proposed sensor is its ability to amplify the sensitivity effectively according to the capacitive coupling ratio between FG and coplanar gates (SG and CG), which is determined by the area of SG and CG. We obtained the pH sensitivity of 304.12 mV/pH, which is significantly larger than that of the conventional ISFET sensor (59.15 mV/pH, at 25 °C). In addition, we measured the hysteresis and drift effects to ensure the stability and reliability of the sensor. Owing to its simple structure, cost-effectiveness, and excellent sensitivity and reliability, we believe that the Cop-DG ISFET sensor provides a promising point-of-care biomedical applications.
The sensitivity of conventional ion-sensitive field-effect transistors (ISFETs) is limited by the Nernst equation, which is not sufficient for detecting weak biological signals. In this study, we propose a silicon-on-insulator-based coplanar dual-gate (Cop-DG) ISFET pH sensor, which exhibits better performance than the conventional ISFET pH sensor. The Cop-DG ISFETs employ a Cop-DG consisting of a control gate (CG) and a sensing gate (SG) with a common gate oxide and an electrically isolated floating gate (FG). As CG and SG are capacitively coupled to FG, both these gates can efficiently modulate the conductance of the FET channel. The advantage of the proposed sensor is its ability to amplify the sensitivity effectively according to the capacitive coupling ratio between FG and coplanar gates (SG and CG), which is determined by the area of SG and CG. We obtained the pH sensitivity of 304.12 mV/pH, which is significantly larger than that of the conventional ISFET sensor (59.15 mV/pH, at 25 °C). In addition, we measured the hysteresis and drift effects to ensure the stability and reliability of the sensor. Owing to its simple structure, cost-effectiveness, and excellent sensitivity and reliability, we believe that the Cop-DG ISFET sensor provides a promising point-of-care biomedical applications.
The portable lab-on-a
chip biosensing platforms have made a remarkable
progress in recent years.[1−4] They enable the collection and processing of biological
and chemical signals at the point-of-care (POC). The concept of ion-sensitive
field-effect transistors (ISFETs) was proposed by Bergveld in 1970,[5] and it is now the typically used FET for fabricating
biosensors. Compared to the sensors based on surface plasmon resonance,
quartz crystal microbalance, chemiluminescence, and chromatography,
ISFETs are considered as the most promising sensors for building lab-on-a-chip
platforms because of their compatibility with CMOS technology, which
facilitates low cost through mass production while ensuring their
portability and robustness.[6] This allowed
to develop a large-area ISFET-based biosensor array capable of detecting
different biomaterials on the chip surface, which is suitable for
the POC clinical diagnostics.[7−10]Conventional ISFETs are metal–oxide–semiconductor
field-effect transistors (MOSFETs) in which the metal gates are removed
and the underlying gate oxide is exposed to an electrolyte solution.
The theoretical maximum sensitivity of conventional ISFETs is inherently
restricted to the Nernst limit (59.15 mV/pH at 25 °C) according
to the site binding theory[11] and double-layer
capacitance of the electrolyte solution.[12] The ion-sensing ability entirely depends on the surface potential
(ψ) of binding ions and can be expressed as follows[13]where k is the Boltzmann
constant, T is the absolute temperature, q is the elementary charge, β is the dimensionless
parameter that indicates the pH sensitivity of the sensing membrane, Ns is the surface site density, CDL is the double-layer capacitance at the insulator–electrolyte
interface, Kb is the basic equilibrium
constant, and Ka is the acid equilibrium
constant. ψ represents the potential on the sensing membrane
surface induced by the pH level of the electrolyte solution.As ψ decreases according to the pH value, the threshold
voltage
(Vth) of ISFETs increases. Therefore,
it is very important to use a sensing membrane with excellent sensing
ability. We fabricated an extended gate (EG) using SnO2 as a sensing membrane with excellent sensing characteristics and
stability.[14] To overcome the low sensitivity
of ISFETs, more advanced sensor architectures and extensive signal
postprocessing circuits have been investigated. For example, dual-gate
ISFETs have been reported that can amplify the sensitivity using capacitive
coupling effects between the upper and lower gate oxide layers of
the channel.[15] However, to enhance the
capacitive coupling effect, a vertical structure dual-gate (V-DG)
ISFET sensor requires a thinner top gate oxide or a thicker bottom
gate oxide. A thinner top gate oxide causes a gate leakage current.
Meanwhile, increasing the bottom gate oxide layer is not efficient
in terms of processing time and cost because the buried oxide (BOX)
layer thickness must be increased in the fabrication of silicon-on-insulator
(SOI) substrates.[16−18] Moreover, advanced signal postprocessing circuits
require large power consumption and auxiliary external hardware.[19] These solutions are not suitable for POC diagnostic
platforms. Therefore, in this study, we propose a coplanar dual-gate
(Cop-DG) ISFET pH sensor to overcome the drawbacks of the V-DG ISFET
pH sensor or advanced signal postprocessing circuits. The Cop-DG ISFETs
consists of two coplanar gates: a control gate (CG) and a sensing
gate (SG) formed in the same plane of the channel and a floating gate
(FG) embedded between the common gate oxide and the shielding oxide
layer. Because FG is electrically isolated, the voltages of CG and
SG are simultaneously applied to FG. Subsequently, the voltage of
FG is transferred to the channel of the silicon thin film. Figure shows a schematic
of the transducer unit and the EG sensing unit of the fabricated Cop-DG
ISFET pH sensor. The conductance of the FET channel is modulated by
the interaction between these gates, and the Cop-DG ISFETs amplify
the sensing signal according to the capacitive coupling ratio between
capacitances CCG (CG–FG) and CSG (SG–FG). As CCG and CSG possess a common gate
oxide of the same thickness, this coupling is mainly determined by
the area of each gate. Thus, Cop-DG ISFETs can modulate the capacitive
coupling more efficiently than V-DG ISFETs, simplifying the device
fabrication process and facilitating their cost effectiveness. The
maximum sensitivity of the proposed Cop-DG ISFETs was measured in
the DG sensing mode using SG and CG. SG receives the biological signal,
while CG sweeps the voltage to measure the drain current (IDS). The threshold voltage of CG shifts according
to the potential of SG, that is, the magnitude of the biological signal,
causing a change in IDS. The pH sensitivity
of Cop-DG ISFETs was defined as the threshold voltage shift of CG
(ΔVCGth) according to the pH level. In addition,
to realize a cost-effective and disposable biosensor, we have separated
the sensing and transducer units using an inexpensive EG, which is
the sensing unit, as shown in Figure .[20] This isolated structure
is advantageous because the transducer unit, which is more sophisticated
and expensive than the sensing unit, can be used continuously while
being completely protected from chemical instability.
Figure 1
Schematic of the transducer
unit and the EG sensing unit of the
fabricated Cop-DG ISFET pH sensor.
Schematic of the transducer
unit and the EG sensing unit of the
fabricated Cop-DG ISFET pH sensor.
Results
and Discussion
Figure a shows
the C–V curves measured using
MOS capacitors for various sizes of coplanar gates (SG and CG) and
FG of the fabricated Cop-DG ISFETs. We measured the C–V curves with a frequency of 200 kHz, a
voltage level of 0.03 V, and a delay time of 0.0001 s. The various
sizes of the coplanar gates (SG and CG) are 5.99, 5.35, 4.13, 2.89,
1.48, and 1.01 pF for the gate sizes of 100 × 350, 100 ×
310, 100 × 240, 100 × 170, 100 × 85, and 100 ×
60 μm2, respectively. In the actual sensing operation,
the deletion of p-Si does not occur rarely because the FG is floated.
The capacitances of the coplanar gates (SG and CG) are 5.97, 5.16,
4.04, 2.89, 1.51, and 1.01 pF for coplanar gate sizes of 100 ×
350, 100 × 310, 100 × 240, 100 × 170, 100 × 85,
and 100 × 60 μm2, respectively. As shown in Figure b, the capacitance
of the coplanar gates (SG and CG) is linearly proportional to the
gate area. The capacitance of the coplanar gates (SG and CG) increases
as the coplanar gate area increases. The inset in Figure b shows the relationship between CSG/CCG and ASG/ACG. As expected, CSG/CCG is linearly
proportional to ASG/ACG. Therefore, we can control the CSG/CCG, which is related with the
amplification factor of Cop-DG ISFFETs by controlling the ASG/ACG.
Figure 2
(a) C–V curves for various
gate sizes and (b) capacitance vs coplanar gate area for the fabricated
Cop-DG ISFETs. Inset in (b) shows the relationship between CSG/CCG and ASG/ACG.
(a) C–V curves for various
gate sizes and (b) capacitance vs coplanar gate area for the fabricated
Cop-DG ISFETs. Inset in (b) shows the relationship between CSG/CCG and ASG/ACG.Figure a
shows
the transfer characteristic curve, that is, the drain current (IDS) versus the CG voltage (VCG) for CSG/CCG = 5.93. The inset shows the IDS–VCG curves for CSG/CCG = 0.17. It
is evident that as VSG varies from 540
to −540 mV with an interval of 180 mV, VCGth shifts by the
capacitance ratio of CSG/CCG. We calculate the VCGth using a transconductance extrapolation
method in the linear region (GMLE). This method suggests that VCGth corresponds to the x-axis intercept of the linear
extrapolation of the gm-VCG characteristics
at its maximum first derivative (slope) point.[21] We extracted the coupling ratio of CG and SG from the linear
relationship of ΔVCGth/ΔVSG, as shown in Figure b. The practical coupling ratios (ΔVCGth/ΔVSG) between CG and SG of the fabricated Cop-DG
ISFETs are 5.31, 3.10, 2.07, 1.39, 1.02, 0.84, 0.48, and 0.33 for CSG/CCG of 5.93,
4.05, 2.07, 1.45, 1.12, 0.69, 0.25, and 0.17, respectively. The inset
shows the relationship between ΔVCGth/ΔVSG and CSG/CCG, and it is clear that CSG/CCG is almost linearly proportional
to ΔVCGth/ΔVSG.
Figure 3
(a) Transfer
characteristic (IDS–VCG) curves of the fabricated Cop-DG ISFETs,
where the VSG changes from 540 to −540 mV with an interval
of 180 mV for CSG/CCG = 5.93 and 0.17 (inset). (b) Practical coupling ratio (ΔVCGth/ΔVSG) for various CSG/CCG. The inset shows the
relationship between ΔVCGth/ΔVSG and CSG/CCG.
(a) Transfer
characteristic (IDS–VCG) curves of the fabricated Cop-DG ISFETs,
where the VSG changes from 540 to −540 mV with an interval
of 180 mV for CSG/CCG = 5.93 and 0.17 (inset). (b) Practical coupling ratio (ΔVCGth/ΔVSG) for various CSG/CCG. The inset shows the
relationship between ΔVCGth/ΔVSG and CSG/CCG.Figure shows the IDS–VCG curves
and measured pH sensitivity for various pH electrolyte solutions.
Typical IDS–VCG curves with CSG/CCG = 5.93 are shown in Figure a, where the curve shifts to the right as
the pH increases. The inset shows the IDS–VCG curves for CSG/CCG = 0.17. It is evident
that the shift in the transfer characteristic curve for CSG/CCG = 0.17 is much smaller
than that for CSG/CCG = 5.93. We can extract the pH sensitivity from the linear
relationship of ΔVCGth/ΔpH, as shown in Figure b. The sensitivity of the fabricated
Cop-DG ISFETs is 304.12, 166.27, 115.36, 75.36, 58.72, 45.67, 30.41,
and 17.20 mV/pH for CSG/CCG = 5.93, 4.05, 2.07, 1.45, 1.12, 0.69, 0.25, and 0.17,
respectively. It is important to note that we can achieve a much higher
sensitivity than 59.15 mV/pH, which is the maximum sensitivity of
conventional ISFETs. The main feature of the proposed Cop-DG ISFET
sensor is that the capacitive coupling ratio and sensitivity can be
adjusted by the capacitance ratio of SG and CG, which improves the
pH sensitivity by reducing the ratio of the CG area to the SG area.
Figure 4
(a) Transfer
characteristic (IDS–VCG) curves of the fabricated Cop-DG ISFET sensor
for various pH electrolyte solutions, where CSG/CCG = 5.93 and 0.17 (inset).
(b) pH sensitivity (ΔVCGth/ΔpH) measured for various CSG/CCG. The inset
shows the relationship between pH sensitivity and CSG/CCG.
(a) Transfer
characteristic (IDS–VCG) curves of the fabricated Cop-DG ISFET sensor
for various pH electrolyte solutions, where CSG/CCG = 5.93 and 0.17 (inset).
(b) pH sensitivity (ΔVCGth/ΔpH) measured for various CSG/CCG. The inset
shows the relationship between pH sensitivity and CSG/CCG.Furthermore, we compared the coupling ratio between CG and SG (ΔVCGth/ΔVSG) and the amplification of
pH sensitivity, as shown in the Supporting Information. In the proposed Cop-DG ISFET sensor, the coupling ratio is important
because it determines the amplification of pH sensitivity, which is
defined as the amplification factor. The reference sensitivity for
obtaining the amplification factor corresponds to a sensor with CSG/CCG = 1, and
we extracted a reference sensitivity of 56.98 mV/pH from the inset
of Figure b. In addition,
we simulated the amplification factor for the measured pH sensitivity
using a Silvaco TCAD Atlas simulator, which is in excellent agreement
with the experimental results. Table summarizes the parameters that govern the amplification
factor for the fabricated Cop-DG ISFET pH sensor.
Table 1
Parameters Governing the Amplification
Factor in the Fabricated Cop-DG ISFET pH Sensor
capacitance ratio (CSG/CCG)
coupling ratio (ΔVCGth/ΔVSG)
pH sensitivity (mV/pH)
amplification factor of pH sensitivity
5.93
5.31
304.12
5.34
4.05
3.1
166.27
2.92
2.07
2.07
115.36
2.02
1.45
1.39
75.36
1.32
1.12
1.02
58.72
1.03
0.69
0.84
45.67
0.8
0.24
0.48
30.41
0.53
0.17
0.33
17.20
0.3
For
efficient biosensing platforms, stability and reliability are
also important in addition to sensitivity. To evaluate the long-term
stability and reliability of the Cop-DG ISFET sensor in the pH electrolyte
solution, we measured the hysteresis width and the drift rate, which
are shown in Figure . In hysteresis and sensitivity measurements, EG was rinsed three
times using de-ionized water. Besides, EG was replaced with a new
one for every hysteresis loop and every drift measurement. As the
sensing membrane reacts slowly with ions (H+ or OH–) in the pH electrolyte solution, the micropotential
on the surface of the sensing membrane is changed, which causes hysteresis.[22] We measured the hysteresis of the Cop-DG ISFET
sensor in the pH loop of pH 7 → pH 10 → pH 7 →
pH 4 → pH 7, which is shown in Figure a for three cases: CSG/CCG = 5.93, 1.12, and 0.17.
Figure 5
Evaluation
of stability and reliability for the fabricated Cop-DG
ISFET sensor: (a) Hysteresis width and (b) drift rate for CSG/CCG = 5.93, 1.12,
and 0.17.
Evaluation
of stability and reliability for the fabricated Cop-DG
ISFET sensor: (a) Hysteresis width and (b) drift rate for CSG/CCG = 5.93, 1.12,
and 0.17.The hysteresis width is defined
as the voltage difference ΔVCGth between the initial pH 7 electrolyte
solution and the final pH 7
electrolyte solution in the pH loop. The hysteresis widths corresponding
to CSG/CCG = 5.93, 4.05, 2.07, 1.45, 1.12, 0.69, 0.24, and 0.17 are 41.40,
24.24, 18.40, 15.60, 13.80, 11.71, 8.31, and 4.83 mV, respectively.
As CSG/CCG increases, the hysteresis seems to increase. However, the hysteresis
for sensitivity, that is, the increase in hysteresis with respect
to the increase in sensitivity, is relatively small, as shown in Table . In addition, the
drift effect causes a voltage shift ΔVCGth because of the
change in the amount of micropotential as the ions (H+ or
OH–) in the pH electrolyte solution penetrate into
the sensing membrane for a long time.[23] We measured the drift of Cop-DG ISFET sensors for a drift condition
(pH 7 electrolyte solution for 10 h), as shown in Figure b. The drift rate is defined
as ΔVCGth per hour in the drift condition. The drift
rate for CSG/CCG = 5.93, 4.05, 2.07, 1.45, 1.12, 0.69, 0.24, and 0.17 is 32.04, 22.55,
16.60, 13.21, 12.11, 9.84, 7.50, and 4.75 mV/h, respectively. Similar
to hysteresis, the drift rate seems to increase with the increase
of CSG/CCG. However, the drift for sensitivity, that is, the increase in the
drift rate with respect to the increased sensitivity, is relatively
reduced, as shown in Table . These results demonstrate the efficacy of the proposed Cop-DG
ISFET sensor, that is, the increase in sensitivity is greater than
the increase in hysteresis and drift, and the sensor exhibits excellent
reliability and stability. The reason for the relatively good drift
for sensitivity and hysteresis for sensitivity is that the micropotential
change on the surface because of instability of the sensing membrane,
when applied to the CSG, becomes relatively
small as the CSG becomes larger than CCG, as shown in eq , although the capacitive coupling effect amplifies
the noise as well as the signal.
Table 2
Parameters Governing
the Stability
and Reliability of the Fabricated Cop-DG ISFET pH Sensor
capacitance ratio (CSG/CCG)
hysteresis width (mV)
drift rate (mV/h)
hysteresis for sensitivity (%)
drift for sensitivity (%)
5.93
41.40
32.04
13.61
10.53
4.05
24.24
22.55
14.58
13.56
2.07
18.40
16.60
15.95
14.39
1.45
15.60
13.21
20.70
17.53
1.12
13.80
12.11
23.50
20.62
0.69
11.71
9.84
25.64
21.55
0.24
8.31
7.50
27.33
24.66
0.17
4.83
4.75
28.08
27.62
Conclusions
In this study, we have proposed a SOI-based Cop-DG ISFET pH sensor
to overcome the inferior performance of the conventional ISFET pH
sensor in detecting weak signals. The fabricated Cop-DG ISFETs employ
a dual-gate consisting of CG and SG on the same plane of the Si channel,
and FG is electrically isolated with a common gate oxide layer. We
designed CG and SG to be capacitively coupled to FG so that both the
gates can be used to modulate the conductance of the FET channel.
As the amplification ratio of Cop-DG ISFETs is determined by the capacitive
coupling ratio, the pH sensitivity can be adjusted by the capacitance
ratio of CG to SG. Using this unique feature, we enhanced the pH sensitivity
significantly by reducing the ratio of the CG area to the SG area.
The sensitivity of the fabricated Cop-DG ISFET pH sensor was measured
as 304.12 mV/pH, which is impossible to attain using the conventional
single gate ISFET pH sensor with a Nernst limit of 59.15 mV/pH at
25 °C. Although the hysteresis and the drift rate increased simultaneously
as the coupling ratio increased, their increase was relatively minor
compared to the improvement in the sensitivity. This confirms that
the Cop-DG ISFET sensor is effective in terms of sensitivity as well
as reliability and stability. Therefore, we believe that the proposed
SOI-based Cop-DG ISFET pH sensor provides a promising POC platform
for biomedical applications.
Experimental Section
Fabrication Procedure of
Cop-DG ISFETs and EG
We fabricated
a high-performance Cop-DG ISFET pH sensor using a SOI wafer and a
glass substrate. For the transducer unit, Cop-DG ISFETs were fabricated
using a p-type (100) SOI wafer with a 20 nm thick top Si layer and
a 200 nm thick BOX layer. The BOX layer serves as a common gate oxide
for CG and SG. The BOX layer serves as a common gate oxide for CG
and SG. In addition, by depositing a 300 nm thick SiO2 layer
on the backside of the SOI wafers, the p+ (100) Si substrate
of 0.001 Ω·cm under the BOX was electrically isolated and
served as an FG. By using an SOI substrate, the proposed FET transducer
does not require a well formation process for electrical isolation,
which allows for a tighter layout and a simpler manufacturing process.
Moreover, it has many advantages, such as leakage current and noise
reduction from the body, a steep subthreshold slope, and improved
short channel effect immunity.[24,25] The active regions
were defined with a 10 μm width and a 2 μm length by photolithography
and etching processes. The defined thin-film active region can control
the depletion region during the sensing operation. However, in the
case of a bulk silicon substrate, it is not easy to control the depletion
region.[26] After the definition of the channel,
the source/drain (S/D) regions were heavily doped by ion implantation,
followed by rapid thermal annealing at 950 °C for 30 s to activate
the implanted phosphorus ions. The coplanar gates (SG and CG) were
simultaneously formed by depositing an Al film with a thickness of
150 nm using an electron beam evaporator. For various gate capacitances,
the coplanar gates (SG and CG) were designed with sizes of 100 ×
350, 100 × 310, 100 × 240, 100 × 170, 100 × 85,
and 100 × 60 μm2. The microscopic image of a
transducer unit is provided in the Supporting Information. It can play the role of both CG and SG, of which
two gate combinations of different sizes were selected for various
ratios of capacitive coupling and operated as CG or SG. Finally, forming
gas annealing was performed at 400 °C for 30 min in a H2/N2 (5/95%, 50 sccm) ambient. Meanwhile, the EG for the
sensing unit was prepared using a glass substrate by sequentially
depositing a 300 nm thick indium tin oxide electrode and a 50 nm thick
SnO2 sensing membrane on a glass substrate and then immobilizing
the 0.6 cm inner diameter polydimethylsiloxane reservoir. The camera
image of EG and the simplified cross-sectional schematic diagram of
EG are described in the Supporting Information.
Measurements
As shown in the Supporting Information, the capacitance–voltage (C–V) curves were measured using a precision
LCR meter (Agilent 4284A) to evaluate the capacitance of various sized
gate electrodes. The capacitive coupling ratio was then obtained from
the transfer characteristics measured using a precision semiconductor
parameter analyzer (Agilent 4156B), as shown in the Supporting Information. The pH sensitivity of the sensor for
various electrolytes was measured by connecting an EG sensing unit
to the transducer unit, as shown in the Supporting Information, using an Ag/AgCl reference electrode (Horiba 2080A-06T
and internal solution: KCl and AgCl) and a precision semiconductor
parameter analyzer (Agilent 4156B). The stability and reliability
of the pH sensors were evaluated by measuring the hysteresis and drift
effects. Hysteresis was assessed by subjecting the sensor to a pH
loop of 7 → 10 → 7 → 4 → 7, and the drift
rate was obtained by long-term monitoring at pH 7. To avoid the effect
of external parameters such as background light and noise, all the
measurements were conducted in a dark box. In addition, we used the
Silvaco Atlas TCAD tool to estimate the electric field between SG,
CG, and FG; capacitive coupling ratios; and amplification factors.
Electrochemical Model
Cop-DG ISFETs employ a Cop-DG
(SG and CG) capacitively coupled to FG via a common gate oxide (BOX)
layer. A simplified cross-sectional schematic diagram of the sensor
is shown in Figure a. The electrolyte solution is modeled with the Gouy–Chapman–Stern
model.[27] The condensed Stern and diffuse
layers are represented by their equivalent capacitances CStern and CGouy, respectively.
Cop-DG ISFETs are modeled as an n-channel MOSFET with three gates:[28,29] CG, SG, and FG. The channel oxide (i.e., common gate oxide) capacitance
is represented by COX. The capacitances
between CG–FG and SG–FG are CCG and CSG, respectively. VCG is the voltage sweep applied to CG, VREF is the ground potential assigned to the reference
electrode, and VSG is given by the surface
potential ψ at the sensing film. Furthermore, as shown in Figure b, the voltage applied
to the FG (VFG) node is defined as the
weighted sum of input voltages (Vi), which
consist of VSG and VCG. Meanwhile, the input capacitance (Ci) is composed of COX, CSG and CCG. Consequently,
Cop-DG ISFETs operate according to the capacitively coupled nodes
of input voltage. The net charge at the FG (QFG) is expressed as follows[30]where VFG, Vi, and Ci are the
voltage applied to the FG, input gate potential, and input capacitance,
respectively. Although the actual Cop-DG ISFETs contain many parasitic
capacitances, they have been ignored to simplify the modeling of the
pH sensor. The simplified change in VFG from eq can be given
by eq .where CTOT = CCG + CSG + COX. CCG and CSG are defined in terms of the
respective gate
area. The variation of VFG depends on
the change in VCG and VSG. As CG and SG are capacitively coupled to FG, both
of them can modulate the conductance of the sensor channel. If the VSG corresponding to the pH concentration changes
the VFG, the result affects the sweeping VCG, leading to a change in the threshold voltage
of CG (VCGth). Then, the threshold voltage shift of CG
(ΔVCGth) with respect to the potential change of
SG (ΔVSG) is described as followswhere VCGth is the threshold voltage of FG. This implies
that VCGth shifts
by the ratio of capacitances of SG and CG (CSG/CCG) depending on ψ (i.e.,
the pH level of the electrolyte). CSG/CCG is determined by the ratio of the Cop-DG
area (ASG/ACG).
Figure 6
(a) Simplified cross-sectional schematic diagram of Cop-DG ISFETs.
In particular, the Si channel was drawn by rotating 90°. (b)
Equivalent circuit for modeling.
(a) Simplified cross-sectional schematic diagram of Cop-DG ISFETs.
In particular, the Si channel was drawn by rotating 90°. (b)
Equivalent circuit for modeling.
Authors: Daniel P Rose; Michael E Ratterman; Daniel K Griffin; Linlin Hou; Nancy Kelley-Loughnane; Rajesh R Naik; Joshua A Hagen; Ian Papautsky; Jason C Heikenfeld Journal: IEEE Trans Biomed Eng Date: 2014-11-11 Impact factor: 4.538
Authors: Matthew Douthwaite; Ermis Koutsos; David C Yates; Paul D Mitcheson; Pantelis Georgiou Journal: IEEE Trans Biomed Circuits Syst Date: 2017-08-24 Impact factor: 3.833