Electric-field-effect spin switching with an enhanced number of highly polarized electron and photon spins has been demonstrated using p-doped semiconductor quantum dots (QDs). Remote p-doping in InGaAs QDs tunnel-coupled with an InGaAs quantum well (QW) significantly increased the circularly polarized, thus electron-spin-polarized, photoluminescence intensity, depending on the electric-field-induced electron spin injection from the QW as a spin reservoir into the QDs. The spin polarity and polarization degree during this spin injection can be controlled by the direction and the strength of the electric field, where the spin direction can be reversed by excess electron spin injection into the QDs via spin scattering at the QD excited states. We found that the maximum degrees of both parallel and antiparallel spin polarization to the initial spin direction in the QW can be enhanced by p-doping. The doped holes without spin polarization can effectively contribute to this electric-field-effect spin switching after the initial electron spin injection selectively removes the parallel hole spins. The optimized p-doping induces fast spin reversals at the QD excited states with a moderate electric-field application, resulting in an efficient electric-field-driven antiparallel spin injection into the QD ground state. Further excess hole doping prevents this efficient spin reversal due to multiple electron-hole spin scattering, in addition to a spin-state filling effect at the QD excited states, during the spin injection from the QW into the QDs.
Electric-field-effect spin switching with an enhanced number of highly polarized electron and photon spins has been demonstrated using p-doped semiconductor quantum dots (QDs). Remote p-doping in InGaAs QDs tunnel-coupled with an InGaAs quantum well (QW) significantly increased the circularly polarized, thus electron-spin-polarized, photoluminescence intensity, depending on the electric-field-induced electron spin injection from the QW as a spin reservoir into the QDs. The spin polarity and polarization degree during this spin injection can be controlled by the direction and the strength of the electric field, where the spin direction can be reversed by excess electron spin injection into the QDs via spin scattering at the QD excited states. We found that the maximum degrees of both parallel and antiparallel spin polarization to the initial spin direction in the QW can be enhanced by p-doping. The doped holes without spin polarization can effectively contribute to this electric-field-effect spin switching after the initial electron spin injection selectively removes the parallel hole spins. The optimized p-doping induces fast spin reversals at the QD excited states with a moderate electric-field application, resulting in an efficient electric-field-driven antiparallel spin injection into the QD ground state. Further excess hole doping prevents this efficient spin reversal due to multiple electron-hole spin scattering, in addition to a spin-state filling effect at the QD excited states, during the spin injection from the QW into the QDs.
Spin polarizations of
an electron and photon/light are essential
properties of these information carriers, where the photon spin is
known as its circular polarization. These spin characteristics can
be directly converted into each other by photoelectric conversion
in III–V compound semiconductor optically active layers, taking
the optical selection rule into consideration.[1,2] This
photoelectric conversion maintaining the electron and photon spin
polarizations has been extensively studied due to its potential applications
in spin-functional optical devices, in addition to fundamental interests.
The electron spin polarization can be conserved without consuming
electrical power in ferromagnetic metallic materials, such as Fe and
Co, and these alloys are one of the most promising solid-state memories
with reliable read/write operations.[3−6] On the other hand, III–V compound
semiconductors, such as GaAs, and the related compounds are widely
known as the most useful materials for practical optical devices,
such as light-emitting diodes and lasers for optical communication.
Furthermore, self-assembled quantum dots (QDs) of III–V compound
semiconductors, such as InGaAs and InAs with three-dimensional (3D)
quantum confinements, have been studied to realize highly efficient
photoelectric conversion owing to the discrete density of the electron
states and the high oscillator strength.[7−12] A QD-based optically active laser has already been established,
in which temperature-insensitive emitting performances were demonstrated
owing to strong suppression of thermal electron distribution at a
limited density of the states, which was caused by the abovementioned
strong quantum confinement.[13,14] This strong confinement
of the QD is also very attractive as it offers an additional benefit
of strong suppression of electron spin relaxation.[15−19] The spin relaxation in the QDs can be suppressed,
resulting in the spin-relaxation time constants of a couple of nanoseconds
at low temperatures during photoelectric conversion with emission
decay times of less than 1 ns. This means that one can transfer the
electron spin polarization in the ferromagnetic material to the circular
polarization of the emission light (light spin information), using
the semiconductor QD-based active layer, if an efficient spin injection
from the former ferromagnetic spin injector into the latter QD spin
emitter is established. This attempt has been demonstrated by fabricating
a spin-polarized light-emitting diode (spin LED) using a self-assembled
QD ensemble layer with a di-electrode device structure.[20−23]The next attempt is to develop electric-field effects on spin
polarity
and its polarization degree, where the electric-field functionality
is an essential prerequisite for electronics. For this purpose, semiconductor
QDs are also useful. Electric-field reversal of electron spin polarity
has recently been demonstrated using a spin injection process from
a 2D quantum well (QW) into 0D QDs.[24] The
number of electrons injected into the QD can be controlled by electric-field
modification of the coupled potential between the QW and QD. Excess
electrons at the excited states (ESs) in the QD, which can be transiently
maintained by the existence of the ground state (GS) residual electrons
through Pauli’s exclusion rule, can be scattered by holes.
As a result, the electron spin direction can flip at these ESs and
then relax to the GS.[24,25] The presence of excess electrons
in the QD is essential for this spin reversal mechanism.[24−31] The highly limited space of the QD can cause the spin reversal via
electron–hole scattering more efficiently. The spin injection
from the QW as a spin reservoir is also important to precisely control
the number of injected electrons through the electric-field direction
and strength. Moreover, it has been reported that p-doping in the
QD can vary the electric-field conditions necessary to reverse the
spin polarity.[24] The resonant electron
spin tunneling responsible for the above spin injection through this
heterodimensional-coupled potential between the 2D QW and 0D QD has
also been clarified.[24,32]This unique QW/QD-coupled
optical spin-active layer can offer a
new platform for electric-field-effect spin-functional optical devices.
The electric-field manipulation of an electron and its spin state
is an important function of semiconductor materials, and the resultant
spin information can be smoothly transferred by light after spin manipulation.
In contrast, generally speaking, the spin direction is strongly fixed
in ferromagnetic metallic materials such as Fe and Co in addition
to fact that the electric field cannot work in those metals. New methods
have been proposed to control the spin and magnetization of metallic
materials using spin transfer or spin–orbit torque.[33−36] On the other hand, the above electric-field control of spin using
a semiconductor QW/QD-coupled nanosystem is attractive and needs to
be studied to enhance the device performance. One important subject
is to examine the effect of p-doping. The other one is to elucidate
the time-dependent spin dynamics including the spin-flip process at
the QD-ES just after spin injection from the QW, which is responsible
for this electric-field-induced spin reversal. A systematic study
has been conducted to investigate these important subjects: p-doping
effects on the electric-field control of spin manipulation as well
as on the spin-flip dynamics at the ES. As a result, the optimized
p-doping concentration was found to enhance the electric-field effects
significantly in terms of both emission intensity and spin operation
efficiency. The spin dynamics at the ES clarify efficient spin scattering
at this optimized p-doping condition.
Experimental
Procedures
The electric-field-effect optical spin devices
used in this study
were grown on a p-doped (100) GaAs substrate with an undoped 200-nm-thick
GaAs buffer layer via molecular beam epitaxy, basically in a similar
manner to previous reports.[24,32] Therefore, important
points for this study are briefly described as follows: a single In0.5Ga0.5As QD layer with a sheet density of 1.9
× 1010 cm–2 was coupled with a bottom
20-nm-thick In0.1Ga0.9As QW by an 8 nm-thick
GaAs tunneling barrier. The 10-nm-thick p-doped GaAs capping layers
with different Be concentrations were directly stacked on the QD layer.
The Be concentration was varied between 1 × 1017 cm–3 (corresponding to 5 holes/QD if all holes are injected)
and 3 × 1017 cm–3 (15 holes/QD),
respectively. An undoped sample (0 hole/QD) was also prepared at identical
growth conditions as a reference sample. This QW/QD-coupled nanostructure
was sandwiched between Al0.1Ga0.9As barriers
to prevent carrier injection from a top Ti/Au electrode deposited
on the semiconductor surface for an electric-field application. The
cross-sectional layered structure of this electric-field device is
schematically illustrated in Figure a.
Figure 1
(a) Schematic cross-sectional drawing of the electric-field-effect
optical-spin device with a QW/QD-coupled active layer, used in this
study. (b) Potentials of the QW/QD-coupled conduction and valence
bands along the growth direction (z-axis), where z = 0 is set at the bottom of the QD, calculated as a function
of the applied voltage between −2.5 and +2.5 V. The conduction
band potentials are plotted to be 0 eV at z = −42
nm. The insets show the 3D-calculated electron wavefunctions at the
first excited state of the QD coupled with the QW with applied voltages
of 0 V (left) and +1 V (right).
(a) Schematic cross-sectional drawing of the electric-field-effect
optical-spin device with a QW/QD-coupled active layer, used in this
study. (b) Potentials of the QW/QD-coupled conduction and valence
bands along the growth direction (z-axis), where z = 0 is set at the bottom of the QD, calculated as a function
of the applied voltage between −2.5 and +2.5 V. The conduction
band potentials are plotted to be 0 eV at z = −42
nm. The insets show the 3D-calculated electron wavefunctions at the
first excited state of the QD coupled with the QW with applied voltages
of 0 V (left) and +1 V (right).3D potential calculations of the semiconductor layered structure
were performed by varying the electric-field strength.[37] Typical results are shown in Figure b, where the 1D potential along
the electric-field direction is shown at the center position of a
QD. By increasing the electric-field strength with a negative sign,
the electron potential (conduction band) in the QD reduces compared
to that in the coupled QW, which can promote the injection of spin-polarized
electrons via tunneling from the QW into the QDs. The typical coupled
electron wavefunctions are shown as insets of Figure b.Optical excitation for spin generation
in the QW was performed
through a mode-locked Ti:sapphire pulsed laser with a repetition rate
of 80 MHz. A temporal width of 200 fs and a combination of the quarter-wave
plate with a linear polarizer were used to circularly polarize the
laser light, as well as to detect circular polarizations of emissions
from the device. To generate spin-polarized carriers in the QW, the
photon energy of the laser was tuned to 1.46 eV below the band gap
of the GaAs barrier. The excitation power was changed from 10 to 640
μW. The samples were attached to a copper plate on a cold finger
of the cryostat and maintained at 4 K. A voltage with a range of −3
to +3 V was applied along the growth direction (z-axis in Figure a).
Spin-polarized carriers generated in the QW, resulting from the optical
selection rule, can be injected via spin-conserving tunneling into
the QDs and then detected by circularly polarized photoluminescence
(PL) from the QDs. Here, the degree of circular polarization of the
PL was defined as CPD = {(Iσ– – Iσ+)/(Iσ– + Iσ+)} × 100 [%], where Iσ– and Iσ+ were co- and cross-circularly
polarized PL intensities from the QD spin detector after σ– excitation in the QW spin reservoir. This CPD value
directly reflects the electron spin polarization P at emissive states in the QD, defined as P = {(N↑ – N↓)/(N↑ + N↓)} × 100 [%] with the number of parallel and antiparallel
electron spins (N↑↓) to
the initial QW ones, owing to the optical selection rule.[1]
Results and Discussion
Figure shows circularly
polarized PL spectra and the corresponding energy-dependent CPD values
at 4 K with typical negative (−2.6 to −2.0 V), near-zero
(−0.6 to 0 V), and positive (+1.0 to +1.6 V) biases for the
(a) 0, (b) 5, and (c) 15 holes/QD samples.
Figure 2
Circularly polarized
QD-PL spectra (red solid line: σ+ as antiparallel
polarization to the initial one in the QW;
blue solid line: σ– as parallel polarization
to the QW one) and the corresponding CPD values as a function of photon
energy (green solid line) with a typical negative (averaged in the
range of −2.6 to −2.0 V), near-zero (−0.6 to
0 V), and positive (+1.0 to +1.6 V) biases and an excitation power
of 160 μW, for the (a) 0 hole/QD, (b) 5 holes/QD, and (c) 15
holes/QD samples, respectively. A black broken line indicates the
PL intensity in the excitation case of 10 μW, where the spectral
component shows GS emissions of the QD ensemble. The energy-dependent
CPD components indicating negative values, i.e., spin-flip emissions
are shown by a green hatched area, where this negative CPD spectral
component mainly originates from the GS.
Circularly polarized
QD-PL spectra (red solid line: σ+ as antiparallel
polarization to the initial one in the QW;
blue solid line: σ– as parallel polarization
to the QW one) and the corresponding CPD values as a function of photon
energy (green solid line) with a typical negative (averaged in the
range of −2.6 to −2.0 V), near-zero (−0.6 to
0 V), and positive (+1.0 to +1.6 V) biases and an excitation power
of 160 μW, for the (a) 0 hole/QD, (b) 5 holes/QD, and (c) 15
holes/QD samples, respectively. A black broken line indicates the
PL intensity in the excitation case of 10 μW, where the spectral
component shows GS emissions of the QD ensemble. The energy-dependent
CPD components indicating negative values, i.e., spin-flip emissions
are shown by a green hatched area, where this negative CPD spectral
component mainly originates from the GS.The 0 hole/QD reference sample indicates the negative CPD (antiparallel
circular polarization to the initial polarization in the QW, thus
spin-flip injection) at 0 V, while the positive CPD (parallel circular
polarization, thus normal spin injection) is observed at the other
positive and negative biases. The larger positive spin-polarization
degrees are observed for the higher energy tail of the PL spectra
in Figure . This higher
energy tail with higher positive CPDs originates from emissions at
ESs in the QDs after spin injection from the QW, which is known from
a lower-energy QD-GS spectrum obtained with an extremely low excitation
condition (a black broken line). At ESs, the higher density of states
can suppress state-filling-induced degradation of the spin polarization
after the parallel spin injection from the QW.[38,39] As a result, higher CPDs at the ES spectral component can be observed
than those at the GS one. The negative CPD region appears only at
the GS of the QD ensemble with various shape and size distributions.
The appearance of the negative CPD can be attributed to spin-flip
scattering at the ES just after the injection of spin-polarized electrons
from the QW. The presence of residual electrons with the parallel
polarization to the initial QW spin polarization at the QD-GS can
induce electron–hole spin scattering at the ES due to the Pauli
spin blocking, in which the spin-flipped electron only can relax to
the GS, and then emit the PL with negative CPD.[24,25] In fact, the coupled QW/QD conduction potential tilts slightly toward
the QD side at this 0 V, as shown in Figure b, while the valence-band potential exhibits
an opposite trend. Therefore, electrons initially generated in the
QW can be smoothly injected into the QD via tunneling, whereas holes
are likely to localize at the QW. This situation means that the number
of injected electrons can increase compared to that of holes, and
excess electrons can be injected from the QW into the QDs. More precise
bias dependence of the carrier and spin dynamics will be discussed
later. The appearance of this negative PL-CPD and the bias dependence
are significantly affected by p-doping, as shown in Figure .The QD-PL intensity
and the corresponding CPD value as a function
of bias are plotted in Figure , for all three samples.
Figure 3
(a) PL intensity and (b) the CPD value
at the QD-GS as a function
of bias with an excitation power of 160 μW for the 0 hole/QD
(a black line in (a) and black open circles in (b)), 5 holes/QD (a
red line in (a) and red open squares in (b)), and 15 holes/QD (a blue
line in (a) and blue open triangles in (b)) samples. The spin-flip
injection process with negative CPD values are schematically shown
as an inset in (b).
(a) PL intensity and (b) the CPD value
at the QD-GS as a function
of bias with an excitation power of 160 μW for the 0 hole/QD
(a black line in (a) and black open circles in (b)), 5 holes/QD (a
red line in (a) and red open squares in (b)), and 15 holes/QD (a blue
line in (a) and blue open triangles in (b)) samples. The spin-flip
injection process with negative CPD values are schematically shown
as an inset in (b).As can be seen in Figure a, the PL intensity
of the 0 hole/QD reference sample is markedly
lower, while the p-doping can significantly increase the emission
intensity. The basic trend of the bias dependence of the PL intensity
is identical among those samples; the PL intensity decreases at higher
positive as well as negative biases. The former decrease in the PL
intensity higher than approximately +1.5 V is attributed to the suppression
of electron tunneling from the QW into the QD side, as shown in the
potential calculations in Figure b. The latter PL decrease originates from the hole
localization at the QW side, also as shown in Figure b. The starting bias of this PL decrease
at the negative bias side is systematically dependent on the p-doping
concentration: 0 V for 0 hole/QD, −0.6 V for 5 holes/QD, and
−1.7 V for 15 holes/QD samples. This can be understood by the
fact that remote p-doping of the QDs from the upper QD capping layer
can compensate for hole depletion at negative bias regions, where
the valence-band potential of the QD increases and the photogenerated
holes cannot be injected from the QW. The PL intensity does not change
significantly over a relatively wide bias range, especially for doped
samples. The PL intensity can be dominated by the number of minority
carriers between an electron and a hole. Therefore, this plateau-like
behavior can be attributed to a certain number of minority carriers
at the GS. Electron deficiency commonly reduces the PL intensity toward
higher positive biases, while hole deficiencies are compensated for
by doping to the negative bias side. Moreover, the PL intensity at
moderate bias conditions is greatly enhanced by this p-doping; 2.3
times higher in the 5 holes/QD sample and 2.8 times higher in the
15 holes/QD sample than in the undoped reference sample, respectively.
This drastic change in the PL intensity can be attributed to an increase
in the number of holes in the QDs. Our remote p-doping using direct
stacking of the upper capping layer with controlled Be concentrations
is highly effective for enhancing the emission efficiency without
a significant carrier loss due to the degradation of the QD crystal
quality. Meanwhile, this increased number of holes by p-doping can
change the occurrence of excess electrons in the QDs. Figure b shows the effect of p-doping
on the spin injection process, which can be described as follows:
a strong negative CPD appears at 0 V in the 0 hole/QD sample, as mentioned
above. This characteristic bias (∼0 V) corresponds to the starting
bias of the PL intensity reduction, which supports the existence of
excess electrons due to the imbalance between the enhanced electron
injection and the reduction of hole injection from the QW to the QDs.
It should be noted that this bias range promoting the electric-field-induced
spin reversal is rather narrow. In contrast, in the 5 holes/QD sample,
more negative biases peaking at −0.5 V show a similarly large
degree of negative circular polarization. This bias condition also
agrees well with the decrease in the starting bias of PL. Therefore,
the p-doping shifts the bias condition necessary to induce the spin-flip
injection because a more negative bias application is necessary to
form the excess electrons in the QDs. Further p-doping of 15 holes/QD
pushes this negative CPD bias condition toward a more negative bias
side, such as approximately −2.2 V. Some information is also
provided. The bias range indicating negative CPDsbecomes wider with
p-doping than without doping. A strong negative CPD also appears beyond
−2 V in the 5 holes/QD sample; however, the PL intensity is
rather weak in this bias range, and therefore, this bias effect can
be negligible in terms of the device performance. The inhomogeneous
doping concentration in the QD ensemble is likely to cause the broadening
of the bias condition with negative CPDs. Precise control of the hole
concentration and consequent optimization will be an important next
step in expanding this research theme. The present doping of the capping
layer is known to work well for self-assembled QDs, but the hole concentration
uniformity also needs to be improved. This doping uniformity can be
improved by improving dot uniformity, such as dot size and density,
which can be achieved by increasing the dot density in addition to
optimizing the growth conditions. Potential calculations as a function
of the electric field, as shown in Figure b, suggest that other remote p-doping can
be applied to the upper AlGaAs barrier adjacent to the GaAs capping
layer. This distant p-doping from the surrounding layer will be efficient
in improving the crystal quality of the capping layer and thus the
QD performances.Next, the excitation power dependences of both
positive and negative
CPD values are shown in Figure .
Figure 4
(a) Averaged CPD value in a bias range of +1.0 to +1.6 V, indicating
the degree of parallel spin polarization, and (b) maximum negative
CPD value, indicating the degree of antiparallel polarization, at
the optimal bias voltage, as a function of excitation power at the
QD-GS, for the 0 hole/QD (black open circles), 5 holes/QD (red open
squares), and 15 holes/QD (blue open triangle) samples. The parallel
spin injection and the spin-flip injection processes are schematically
shown as insets in (a) and (b), respectively.
(a) Averaged CPD value in a bias range of +1.0 to +1.6 V, indicating
the degree of parallel spin polarization, and (b) maximum negative
CPD value, indicating the degree of antiparallel polarization, at
the optimal bias voltage, as a function of excitation power at the
QD-GS, for the 0 hole/QD (black open circles), 5 holes/QD (red open
squares), and 15 holes/QD (blue open triangle) samples. The parallel
spin injection and the spin-flip injection processes are schematically
shown as insets in (a) and (b), respectively.As can be seen, the 5 holes/QD doping condition can provide high
values of negative CPD (b: electric-field-induced spin-flip injection)
as well as positive CPD (a: parallel spin injection). Higher positive
CPD values at the GS with higher PL intensities by p-doping have been
reported.[30,31] Increasing oscillator strength and suppressing
electron spin relaxation by p-doping are responsible for the improved
normal parallel electron spin injection. Bir–Aronov–Pikus
(BAP) spin relaxation is well known to be dominant in QDs, where a
hole-exchange field acts on the electron spin.[1,40] Excess
holes by p-doping can randomize the hole field, and the BAPspin relaxation
can be suppressed.[31] Both positive and
negative CPD values decreased with increasing excitation power for
all samples. The positive CPD reduction can be induced by a spin-state
filling effect at the QD-ESs after spin injection from the QW.[35,36] Parallel spin injection from the QW into the QD-ESs can be blocked
by the Pauli exclusion principle with strong excitation powers. In
contrast, minority antiparallel spins can be continuously injected
during spin blocking and can reduce the spin polarization P. However, it is important to stress that the electric-field
effect of spin-flip injection, as well as normal parallel spin injection,
can be optimized by the p-doping concentration, such as with the 5
holes/QD condition. The PL intensity can also be strongly enhanced
by this p-doping. Therefore, remote p-doping in this characteristic
coupled QW/QD structure is promising for the development of semiconductor-based
electric-field-effect optical spin device performance.The spin
dynamics in the QDs after the spin injection from the
QW were detected to clarify the mechanism of p-doping effects on the
electric-field spin reversal. The circularly polarized time-resolved
PL and the resultant CPD are shown for the QD-ES as well as the GS
in Figure , where
the bias conditions are selected to show marked negative CPD properties
at the GS. Data variability is noticeable at the ES of the 15 holes/QD
sample (bottom panel in Figure a). This is due to the weaker PL intensity of the ES under
bias conditions that show the highest negative CPD value in this sample
compared to other samples. In this 15 holes/QD sample, the hole concentration
is not particularly high in the ES of QD after initial recombination
by a large number of injected electrons due to the strong potential
modification, as shown in Figure b. The doped holes at the ES can also escape from the
QD to the QW side, while those at the GS tend to be more confined
in the QD, originating from this strong negative-bias-induced valence-band
bending.
Figure 5
Time dependences of circularly polarized PL intensity (red closed
circles: σ+ of antiparallel polarization to the initial
one in the QW; blue closed circles: σ– of
parallel polarization) and the corresponding CPD values (green closed
circle) at (a) the 1st ES and (b) the GS with an excitation power
of 160 μW, for the 0 hole/QD (top panel), 5 holes/QD (middle
panel), and 15 holes/QD (bottom panel) samples, respectively. The
applied voltages are selected for the cases of the highest negative
CPD values, such as 0, −0.45, and −2.2 V, for the 0,
5, and 15 holes/QD samples. Rate-equation calculations, taking an
asymmetric spin-flip process in addition to the usual spin relaxation
and a system time response are shown by a black narrow line.
Time dependences of circularly polarized PL intensity (red closed
circles: σ+ of antiparallel polarization to the initial
one in the QW; blue closed circles: σ– of
parallel polarization) and the corresponding CPD values (green closed
circle) at (a) the 1st ES and (b) the GS with an excitation power
of 160 μW, for the 0 hole/QD (top panel), 5 holes/QD (middle
panel), and 15 holes/QD (bottom panel) samples, respectively. The
applied voltages are selected for the cases of the highest negative
CPD values, such as 0, −0.45, and −2.2 V, for the 0,
5, and 15 holes/QD samples. Rate-equation calculations, taking an
asymmetric spin-flip process in addition to the usual spin relaxation
and a system time response are shown by a black narrow line.The CPD decaying properties at ESs indicate the
spin-flip dynamics
via electron–hole scattering in addition to the usual spin-relaxation-induced
CPD decaying with the time constants around 0.5 ns.[38,39] The 5 holes/QD sample shows the most significant spin-flip dynamics
at the ES, where parallel spins flip rapidly after the spin injection
from the QW, and then start to show the negative CPD at 250 ps. The
appearance of negative CPD directly shows that the spin-flipped electrons
become dominant even at the ES. This rapid spin-flip can be induced
by hole doping, which promotes efficient electron–hole scattering.
These time-dependent PL decay curves and the resultant CPD changes
both in the ES and GS were well fitted by rate equations taking into
account an asymmetric spin-flip process at the ES,[41] which are indicated by black solid lines in Figure . Time–response curves
of a measurement system are also included.The deduced asymmetric
spin-flip time τsf as a
function of excitation power at the ES is plotted for all samples
in Figure .
Figure 6
Asymmetric
spin-flip time constant τsf, derived
from the rate-equation fitting for the circularly polarized time-resolved
PL at the ES, as a function of excitation power for the samples with
0 hole/QD (black open circles), 5 holes/QD (red open squares), or
15 holes/QD (blue open triangles). The inset shows schematically the
asymmetric spin-flip process with a time constant of τsf = τ1–τ2. τsf = 0 corresponds to the symmetric spin-flip dynamics with usual spin
relaxation times. The applied voltages are selected for the cases
of the highest negative CPD values, such as 0, −0.45, and −2.2
V, for the 0, 5, and 15 holes/QD samples.
Asymmetric
spin-flip time constant τsf, derived
from the rate-equation fitting for the circularly polarized time-resolved
PL at the ES, as a function of excitation power for the samples with
0 hole/QD (black open circles), 5 holes/QD (red open squares), or
15 holes/QD (blue open triangles). The inset shows schematically the
asymmetric spin-flip process with a time constant of τsf = τ1–τ2. τsf = 0 corresponds to the symmetric spin-flip dynamics with usual spin
relaxation times. The applied voltages are selected for the cases
of the highest negative CPD values, such as 0, −0.45, and −2.2
V, for the 0, 5, and 15 holes/QD samples.This asymmetric spin-flip can be attributed to a combination of
the spin-flip process at the ES and the subsequent energy relaxation
from the ES to GS, which is schematically illustrated as an inset
in Figure .[37] The spin-flip itself can originate from the
spin scattering in addition to the usual symmetric spin relaxation.
The asymmetric flip property can be induced by filling a spin-dependent
state at the GS that is energetically below the ES, where the presence
of residual electrons can prevent this energy relaxation and therefore
induce the asymmetric spin-flip at the ES. The spin scattering events
also depend on the presence of spin-polarized holes within the QD.
A negative τsf value means the asymmetric spin-flip
from the parallel spin into the reversed one, which can be induced
by the state filling at the GS with the residual parallel spin. It
should be noted that the usual spin relaxation with a symmetric time
constant, which promotes time-dependent randomization of the spin
direction, takes place in all samples independent of the above asymmetric
spin-flip process. This constant spin relaxation time is included
in the above rate-equation analysis. As can be seen, the 5 holes/QD
sample only shows a significant trend of negative τsf values at the ES. Therefore, this 5 holes/QD sample demonstrates
an enhanced efficient spin reversal at the ES as a result of suitable
p-doping. This enhanced spin reversal is suppressed at high excitation
powers, resulting from the state filling at the GS. In contrast, the
other samples including the highest doping sample of 15 holes/QD show
nearly zero or slightly positive τsf values at the
ES, which indicates that the asymmetric spin-flip process is not active.
Therefore, the negative CPD values in the PL in these nondoped and
15 holes/QD samples are realized mainly by the usual, thus symmetric,
spin relaxation at the ES.These spin dynamics directly show
the electron spin-flip process
during spin injection in this characteristic coupled QD/QW nanosystem.
In the undoped reference sample, this spin-flip process can be realized
by field applications with a markedly narrow bias range as shown in Figure b, in which a residual
electron with the parallel spin direction exists at the QD-GS without
a hole before the spin injection, as schematically shown in Figure a.
Figure 7
Schematic illustrations
of the electric-field-induced reversed-spin
injection process from the QW into the QD-GS and the resultant circularly
polarized emissions, including the spin-flip process at the ES during
the injection, for samples with optimum biases such as (a) 0 hole/QD
at 0 V, (b) 5 holes/QD at −0.45 V, and (c) 15 holes/QD at −2.5
V. A blue closed spin image in the conduction band shows optically
generated initial spin-polarized electrons in the QW, which can be
injected into the QD via tunneling. A black closed spin image indicates
a residual electron spin in the QD, which can be formed by excess
electron spin injection owing to the electric-field-induced coupled
potential modification. A red closed spin image indicates spin-flipped
electrons resulting from the electron–hole scattering at ESs.
Schematic illustrations
of the electric-field-induced reversed-spin
injection process from the QW into the QD-GS and the resultant circularly
polarized emissions, including the spin-flip process at the ES during
the injection, for samples with optimum biases such as (a) 0 hole/QD
at 0 V, (b) 5 holes/QD at −0.45 V, and (c) 15 holes/QD at −2.5
V. A blue closed spin image in the conduction band shows optically
generated initial spin-polarized electrons in the QW, which can be
injected into the QD via tunneling. A black closed spin image indicates
a residual electron spin in the QD, which can be formed by excess
electron spin injection owing to the electric-field-induced coupled
potential modification. A red closed spin image indicates spin-flipped
electrons resulting from the electron–hole scattering at ESs.An electron–hole pair with conserved spin
states is then
injected from the QW, and this electron spin can be scattered with
the hole spin at the ES. A spin-flipped electron only can relax to
the GS and subsequently recombine with the hole, emitting negatively
polarized PL. Moreover, one can guess that the above situation with
an efficient electron–hole pair injection, as well as the presence
of a residual electron, is not equally achieved among QDs in that
narrow bias range in this 0 hole/QD sample. The hole tunneling rate
can be significantly affected by the shape and size distributions
of the QD ensemble because of the heavier effective mass than that
of electrons. As a result, the PL intensity with the negative CPD
is markedly low because the number of QDs emitting spin-polarized
PL is rather limited.However, the optimum remote p-doping into
the QD ensemble can significantly
improve this problem, as shown in Figure b. More negative bias conditions can realize
the same situation as discussed above for the undoped QDs, where a
residual electron with the parallel spin state exists at the GS after
recombination with doped holes with the same parallel spin. Then,
further parallel spin-polarized electrons can be injected from the
QW, and the abovementioned spin scattering can take place at the ES,
resulting in a negative CPD property at the GS after relaxation. It
is important to note that this more negative bias condition for the
5 holes/QD sample gives a higher electron spin tunneling probability
in this coupled QD/QW system, as shown in Figure b. Therefore, many QDs contain residual electrons,
and also the electron–hole pairs can be efficiently injected
for many QDs with residual electrons. On the other hand, under this
bias condition, holes are less likely to be injected from the well,
also as viewed from the potential in Figure b. Doped holes with a spin parallel to the
injected electron spin can compensate for the absence of hole injection
so that the parallel electron–hole spins recombine and disappear
by the initial spin-conserving electron injection. Therefore, doped
holes with an opposite spin to the residual electron spin can remain
in the GS and even in the ES in the QDs. Electron spins injected into
the ES can relax to the GS after efficient spin-flip scattering. Here,
as depicted in Figure b, if electron spins are rapidly injected one after another, the
excited hole spins are inverted again and cannot be relaxed to the
GS. Meanwhile, the electron spin relaxes to the GS after the spin-flip
and recombines with the hole spin at the GS emitting negative CPD.
That is, spin-flip scattering occurs efficiently due to the combination
of electric-field-induced enhanced electron tunneling probability
with appropriate doping. Furthermore, hole spins can be trapped by
many dots by this p-doping, which increases the number of optically
active dots. Therefore, spin scattering can occur efficiently at the
ESs in many QDs, and as a result, electron spins can be flipped and
the number of dot-emitting PL with negative CPDs increases. In other
words, one can conclude that this 5 holes/QD condition is highly efficient
for improving this unique electric-field spin-functional optical device.The higher doping sample of 15 holes/QD shows a shift in the operating
bias for the negative CPD toward the more negative bias side, as shown
in Figure c. More
electrons need to be injected to compensate for more holes in the
QDs. Therefore, a higher negative bias needs to be applied to cause
this negative CPD phenomenon. However, when many electron spins are
injected into the QD-ESs, the spin polarization degree of the injected
electrons decreases owing to the state-filling effect, as discussed
above, for the case where the positive CPD decreases with increasing
excitation power. This excess electron injection after forming a residual
electron at each QD can also prevent the efficient spin-flip at the
ES; for instance, co-scattering can maintain the original electron
spin state. The BAP electron spin relaxation mechanism is known to
show that the spin-relaxation time decreases with increasing hole
concentration by increasing the exchange-field strength of the hole
against an electron spin. Therefore, it is suggested that this heavier
p-doping condition can offer mainly two holes at the ES of each QD
since many excess holes can escape from the QD into the QW side depending
on this strong negative bias, as shown in Figure b.
Conclusions
We have
studied the effects of p-doping on the electric-field control
of electron and photon spin polarity in a coupled InGaAs QD/QW nanosystem.
Remote p-doping in the QDs tunnel-coupled with the QW significantly
increased the circularly polarized PL intensity from the QD-GSs after
electron spin injection from the QW as a spin reservoir. The spin
polarity during this spin injection can be controlled by the direction
of the electric field and the strength driving this electron injection,
where the spin reversal can be induced by excess electron spin injection
into the QDs via spin scattering at the QD-ESs. We found that the
maximum degrees of both spin polarization with parallel and antiparallel
spin polarities can be optimized by the hole concentration. Therefore,
p-doping is highly effective for the electric-field-effect spin switching
with an enhanced number of spins. This optimized p-doping exhibited
the fastest spin reversal at the QD-ESs, resulting in an efficient
electric-field-driven antiparallel spin injection for the GS with
a moderate electric-field application. Further excess hole doping
prevented this efficient spin reversal due to multiple electron–hole
spin scatterings, as well as an electron spin state filling effect
during the spin injection from the QW into the QDs.
Authors: S A Wolf; D D Awschalom; R A Buhrman; J M Daughton; S von Molnár; M L Roukes; A Y Chtchelkanova; D M Treger Journal: Science Date: 2001-11-16 Impact factor: 47.728