optimization of sub-0.1-μm offset Γ-shaped gate mhemts for millimeter-wave applications
TRANSCRIPT
Optimization of sub-0.1-mm offset G-shaped gate MHEMTs
for millimeter-wave applications
Min Han, Myung-Sik Son*, Jung-Hun Oh, Bok-Hyung Lee, Mi-Ra Kim,Sam-Dong Kim, Jin-Koo Rhee
Millimeter-wave Innovation Technology Research Center (MINT), Dongguk University, 3-26 Pildong, Joonggu, Seoul 100-715, South Korea
Received 11 June 2004; received in revised form 18 July 2004; accepted 20 July 2004
Abstract
We examine the effects of device scaling in both vertical and lateral dimensions for the metamorphic high electron mobility transistors
(MHEMTs) on the DC and millimeter-wave electrical performances by using a hydrodynamic transport model. The well-calibrated
hydrodynamic simulation for the sub-0.1-mm offset G-gate In0.53Ga0.47As/In0.52Al0.48As MHEMTs shows a reasonable agreement with the
electrical characteristics measured from the fabricated 0.1 mm devices. We have calibrated all the parameters using the measurement data
with various physical considerations to take into account the sophisticated carrier transport physics in sub-0.1-mm devices. Being simulated
with these calibrated parameters, the optimum device performance is obtained at a source-drain spacing of 2 mm, a gate length of 0.05 mm, a
barrier thickness of 10 nm and a channel thickness of 12 nm.
q 2004 Elsevier Ltd. All rights reserved.
PACS: 84; 84.40.Kx; 84.40.Lj; 85; 85.30.De; 85.30.Tv
Keywords: Metamorphic HEMT (MHEMT); InGaAs; InAlAs; GaAs-based HEMT; Transconductance; Cut-off frequency; Maximum frequency of oscillation;
Millimeter-wave frequency
1. Introduction
High electron mobility transistors (HEMTs) on InP
substrates have demonstrated superior microwave and low
noise performances compared to the pseudomorphic
HEMTs on GaAs substrates [1–4]. The excellent device
performance of the InP-based HEMTs operating in the
W-band is mostly due to the lattice-matching InGaAs/
InAlAs/InP material system. However, compared to the
GaAs-based devices, InP-based HEMTs have some critical
drawbacks, such as the mechanical fragility of the wafers
and the higher material cost. Moreover, InP-based HEMTs
may not be quite proper for large-scale device production
because of very slow backside-etching rate of the InP
material. In recent decades, active research has been
performed on GaAs-based metamorphic HEMTs
0026-2692/$ - see front matter q 2004 Elsevier Ltd. All rights reserved.
doi:10.1016/j.mejo.2004.07.005
* Corresponding author. Tel.: C82 2 2260 8699; fax: C82 2 2260 3690.
E-mail address: [email protected] (M.-S. Son).
(MHEMTs) to address the needs for both high microwave
performance and low device cost [5–8]. The use of
metamorphic buffers on GaAs substrates was introduced
to accommodate the lattice mismatch between the substrate
and the active layers, as well as to avoid the InP substrates.
With the use of metamorphic buffers, unstrained InGaAs/
InAlAs heterostructures could be grown over a wide range
of indium contents for the InGaAs channels, thereby
exhibiting device performances comparable to those of
InP-based HEMTs. For examples, excellent maximum
frequencies of oscillation (fmax) of 200–400 GHz have
been introduced in recent MHEMTs adopting 0.1–0.2 mm
gate lengths [9–15].
When the sub-0.1-mm MHEMTs are employed for the
millimeter-wave monolithic ICs (MIMICs), such as oscil-
lators, low noise amplifiers, and power amplifiers, to
achieve extremely superior DC and RF performances,
effects of the device scaling on the electrical characteristics
need to be well predicted theoretically. This is because
Microelectronics Journal 35 (2004) 973–983
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M. Han et al. / Microelectronics Journal 35 (2004) 973–983974
a variety of unpredicted phenomena can be dominant in
such a small-size devices. For this purpose, we develop a
device model for In0.53Ga0.47As/In0.52Al0.48As/GaAs
MHEMTs by using a hydrodynamic transport model built
in a commercial ISE-DESSIS simulator [16], and the
calculated results show a reliable agreement of the electrical
characteristics of the fabricated 0.1 mm gate length
MHEMTs. With the uses of the calibrated parameters, we
perform the simulations on the DC and RF performances at
various source-drain spacings (2, 2.5 and 3 mm) and gate
lengths (0.05 and 0.1 mm). Moreover, the effects of the
vertical scaling, such as the thickness variation of the barrier
and channel layers, are also examined.
Fig. 1. Fabricated 70 mm!2-finger MHEMT with a 0.1-mm offset G-shaped
gate. (a) Schematic of the cross-sectional epitaxial structure. (b) Schematic
of the 0.1-mm offset G-gate with a wide-recess structure. (c) Planar view of
the fabricated 70 mm!2-finger MHEMT.
2. Fabrication, characterization and model of 0.1-mm
offset G-shaped gate In0.53Ga0.47As/In0.52Al0.48As/GaAs
MHEMT
0.1-mm offset G-gate MHEMTs with a source-drain
spacing of 2 mm were fabricated, and the measured DC and
RF characteristics are described in the next section. Shown
in Fig. 1(a) and (b) are the layout and a schematic of the
cross-sectional structure of the MHEMT. The planar view of
a fabricated device is also shown in Fig. 1(c), and the 2
fingers with a gate width of 70 mm are adopted for the
devices (hereafter, we call it 70 mm!2). We performed the
iterative calibrations for the model based on the hydro-
dynamic transport model using the identical epitaxial and
gate structures with those of the fabricated devices, as
shown in Figs. 1 and 2. The calculation results from the
calibrated model and the measured DC and RF data are
compared in Fig. 3.
The GaAs-based epitaxial structures for MHEMTs were
grown on 4-in. semi-insulating (SI) (100) GaAs substrates
by using a molecular beam epitaxy (MBE). As shown in
Fig. 1(a), graded buffer layers of 1 mm thick InxAl1KxAs
were grown on SI GaAs substrates by varying the indium
mole fraction from 0 to 0.5; thereafter, 400 nm thick
In0.52Al0.48As buffers were grown to protect the active
layers from the potential impurities coming from the
underlying structures on top of the buffers; active layers
with 23 nm In0.53Ga0.47As channel layers were grown with
double Si d-dopings. Very thin nC In0.53Ga0.47As cap
layers were then grown to provide ohmic contacts at the
source and the drain regions. The measured electron sheet
density and the Hall mobility of the grown epitaxial layers at
room temperature were about 3.4!1012 cmK2 and
9700 cm2/V s, respectively.
As shown in Figs. 1 and 2, the gate electrode is located at
an offset position from the center toward the source. The
structural improvement of the offset gate due to a reduction
in the distance between the source and the gate enhances
the cut-off frequency (fT) and the maximum stable gain
(MSG) by minimizing the gate-to-drain capacitance (Cgd),
as well as the drain resistance (Rd) [17]. In our devices,
the distances between source and drain and between the
source and gate foot were 2 and 0.65 mm, respectively.
The MHEMTs were fabricated in the following
sequences. First, mesa etching was performed to provide
isolated active areas by removing an w200-nm thickness
in an etchant of phosphoric acid/H2O2/H2O (1:1:60),
followed by the formation of ohmic contacts by using the
thermal evaporation of AuGe/Ni/Au (125/28/160 nm)
layers and rapid thermal annealing at 320 8C for 30 s. The
measured specific contact resistance of the ohmic contacts
was w1!10K7 U cm2. The gate recess was done by
Fig. 2. Cross-section view of the device structure and the mesh construction for the simulation.
M. Han et al. / Microelectronics Journal 35 (2004) 973–983 975
etching the cap layers in a succinic acid/H2O2/H2O (1:5:10)
solution. The 0.1 mm G-shaped gate was patterned by lift-off
with PMMA/P(MMA–MAA)/PMMA (100/600/200 nm)
using an 30-keV electron-beam lithography system. The
Schottky contact was formed by using Ti/Au (50/400 nm)
evaporation. Prior to the air-bridge interconnection, 78-nm
Si3N4 passivation layers were deposited in a plasma-
enhanced chemical-vapor deposition (PECVD) system.
The fabricated 70 mm!2 MHEMTs were characterized
by measuring the DC and RF performances. The DC
characteristics, such as I–V and transfer characteristics,
were measured in an HP4156A DC parameter analyzer, and
the measurement results for the MHEMTs of a 2 mm source-
drain spacing are compared with the simulation results in
Fig. 3. The typical saturation drain-source current (Idss)
and pinch-off voltage (Vp) are 60 mA (429 mA/mm) and
K1.7 V, respectively, as shown in Fig. 3(a). The breakdown
voltage (Vbr) of the device at a source-drain spacing of 2 mm
is w3 V. The measured maximum extrinsic transconduc-
tance (gm,max) is w390 mS/mm at a drain voltage (Vd) of
1.0 V and a gate voltage (Vg) of K0.8 V, as shown in
Fig. 3(b).
The RF measurements were performed in the frequency
range of 0.5–50 GHz by using an HP 8510C network
analyzer. As was shown in Fig. 3(c), a high S21 gain
(w7.92 dB) was obtained at a millimeter-wave frequency of
50 GHz. Shown in Fig. 3(d) are the measured h21 gain, S21
gain, and MSG versus the frequency obtained from the
MHEMTs. The devices exhibit an fT of w123 GHz and a
maximum frequency of oscillation (fmax) of w433 GHz,
respectively, from the extrapolation of h21 and MSG for a
device biased at the peak transconductance. The measured
fmax of w433 GHz is comparable to the best data thus far
reported for 0.1 mm MHEMTs [11,12].
To perform the simulation for the indium-mole-depen-
dent DC and millimeter-wave characteristics, we calibrated
the hydrodynamic transport model [16] by using the
fabricated devices, and the important parameters and
the physical considerations are described in detail at the
followings and are also summarized in Tables 1–3.
The work function (F) for the Schottky barriers Ti/Au
(50/400 nm) gate metals was set to 4.33 eV. For this, all the
F values between 4.33 (F of Ti) and 5.1 eV (F of Au) were
examined; however, a F of 4.33 eV gave the best calibration
results. In addition, the barrier lowering effect for the
Schottky gate was considered by inserting a hypothetical
thin (2 A) oxide layer just below the gate. We ignored the
leakage current across the gate electrodes due to the
tunneling of electrons and/or holes through the Schottky
barrier because this current is extremely small and not
M. Han et al. / Microelectronics Journal 35 (2004) 973–983976
a major factor affecting the current level significantly in our
simulations. However, for the breakdown condition at a
higher drain bias, the gate leakage current has to be
reconsidered because the hot-spot region between the gate
and the drain is affected by this current flow.
For the energy band model, the built-in parameters of the
simulator were used for each epitaxial material. Each
electrode (gate, source and drain) was connected to the
extrinsic resistors in order to take into account the contact
resistances between the pad metals and the electrode
terminals. These extrinsic resistances were determined
from the S-parameter measurements using a small-signal
Fig. 3. Simulation and measurement results for the DC and the RF characteristic
frequency (VdsZ1.5 V, VgsZK0.7 V). (d) fT and fmax versus the frequency (VdsZ
model [18]. The determined extrinsic resistances to the
source, the drain, and the gate were 2.57, 6.59, and 1.82 U,
respectively. To convert the sheet densities for each d-
doping layer to the volume concentrations, a thickness of
20 A for each d-doping layer was assumed. From this, a
sheet density of 4.5!1012 cmK2 for the upper d-doping was
converted to 2.25!1019 cmK3, for example.
In the hydrodynamic model, the effect of electron
temperature was taken into account, while the effects of
hole and lattice temperatures were not. This is because the
contribution of hole temperature to the thermal effect is very
small due to the negligible hole carrier density compared to
s. (a) Ids versus Vds. (b) Ids and gm versus Vgs. (c) S-parameters versus the
1.5 V, VgsZK0.7 V). (e) fT and fmax versus Vgs (VdsZ1.5 V).
Fig. 3 (continued)
M. Han et al. / Microelectronics Journal 35 (2004) 973–983 977
the huge electron density in the channel layer, and the effect
of lattice temperature was already considered in the electron
carrier temperature to achieve a faster simulation [16].
Moreover, the impact ionization for the breakdown
was not considered in the model because the impact
ionization does not significantly affect the DC character-
istics in a drain voltage range of 0–2.5 V. For the generation
and recombination for the carriers, we used Shockley–
Read–Hall, Radiative (direct), and Auger recombination
models.
To determine the carrier motilities in each epitaxial layer,
a constant mobility model, a doping-dependent mobility
degradation model, and a mobility degradation model were
used. For the mobility degradation model, we considered the
degradation mechanisms at the interfaces due to acoustic
phonon scattering and the scattering caused by surface
Table 1
Constant mobilities, saturation velocities, and b exponents for In0.53Ga0.47-
As and In0.52Al0.48As materials used in hydrodynamic Canali model
Parameters Materials
In0.53Ga0.47As In0.52Al0.48As
Electrons Holes Electrons Holes
mlow Low-field
mobility
(cm2/V s)
9710 331 4226 75
nsat Saturation
velocity (cm/s)
2.0!107 8.0!106 1.0!107 3.0!106
b Exponent (l) 1.3 1.3 1.5 1.5
tc Energy relax-
ation time (ps)
1.0 0.4 1.0 0.4
Table 2
Parameters for the doping-dependent mobility degradation model of
Masetti
Parameters Materials
In0.53Ga0.47As In0.52Al0.48As
Electrons Holes Electrons Holes
mconst (cm2/V s) 9710 331 4226 75
mmin1 (cm2/V s) 3372 75 220 40
mmin2 (cm2/V s) 3372 75 220 40
m1 (cm2/V s) 0 0 0 0
Pc (cm3) 6.0!1015 0 0 0
Cr (cm3) 8.9!1016 1.0!1017 1.5!1014 3.8!1017
Cs (cm3) 3.34!1020 6.1!1020 3.34!1020 6.1!1020
a (l) 0.76 1.37 0.27 0.79
b (l) 2.0 2.0 2.0 2.0
M. Han et al. / Microelectronics Journal 35 (2004) 973–983978
roughness. The hydrodynamic Canali model [16] is used to
take into account a constant low-field mobility and a
high-field saturation in the constant low-field mobility. The
carrier mobility of the hydrodynamic Canali model is
given by
m Zmlowffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi
1 Ca2ðwc Kw0Þb
pCaðwc Kw0Þ
b=2h i2=b
; (1)
where mlow is the constant low-field mobility, wc Z3kBTc=2
is the average carrier thermal energy, and wc Z3kBTL=2
gives the equilibrium thermal energy. The parameter a is
Table 3
Simulation results for the Ids–Vds at various gate lengths and source-drain spacin
Gate length (mm) Source-drain spa
2 mm
Idss (mA) 0.1 58
0.05 56
Vp (V) 0.1 K1.5
0.05 K1.75
gm (mS/mm) 0.1 370 (VgsZK0.5
0.05 295 (VgsZK0.8
fT (GHz) 0.1 114
0.05 136
given by
a Z1
2
mlow
qtcv2sat
� �b=2
; (2)
where tc is the energy relaxation time of carriers, and the
index c can be either e for the electron or h for the hole. The
saturation velocity nsat and the exponent b were determined
in the same way as for the standard Canali model. For
average carrier energies, wc (less than the thermal energy
w0), the mobility is set to the low-field value, mZmlow.
Table 1 shows a summary of the important calibrated
mobility parameters for the InxGa1KxAs and the In0.52
Al0.48As materials for the hydrodynamic Canali model used
in the simulations.
For the ohmic contacts, such as the source and the drain,
we appended into the model the effect of dopant diffusion
(Si in the cap layer and Ge in the ohmic metals) during
the thermal evaporation and alloy processes to form the
AuGe/Ni/Au layers. This was done by assuming that the
dopants follow a Gaussian distribution. For example, the Ge
doping distributions in the ohmic contacts under the source
and the drain electrodes show a peak concentration of 2.5!1018 cmK3 and a junction concentration of 1!1016 cmK3 at
a depth of 0.15 mm. A constant doping concentration of
6.0!1018 cmK3 in the cap layer was added to the Ge
distributions to consider the thermal diffusion out of the cap
layer. This correction was achieved by using a lateral decay
factor of 0.005 for the constant doping distribution.
Scattering phenomena of the carriers with charged impurity
ions can lead to the degradation of the carrier mobility in the
doped regions. For this, the Masetti model [16] was also
adopted to simulate the doping-dependent mobility degra-
dation in the epitaxial layers under the source and the drain
contacts. The Masetti model gives the carrier mobility as
follows:
mdop Z mmin1exp KPc
Ni
� �C
mconst Kmmin2
1 C Ni
Cr
� �a
Km1
1 C Cs
Ni
� �b; (3)
gs
cing
2.5 mm 3 mm
50 46
52 48
K1.5 K1.5
K1.75 K1.75
) 330 (VgsZK0.5) 300 (VgsZK0.5)
) 255 (VgsZK0.8) 240 (VgsZK0.8)
114 110
130 128.5
M. Han et al. / Microelectronics Journal 35 (2004) 973–983 979
where NiZND CNA denotes the total concentration of
ionized impurities. The low-doping reference mobility
mconst is set to the constant low-field mobility of mlow.
mmin1, mmin2, and m1 are the reference mobilities. Pc, Cr, and
Cs are the reference doping concentrations, while a and b
are the exponents. Table 2 shows the calibrated parameters
for the InxGa1KxAs and the In0.52Al0.48As materials in the
Masetti model.
At both interfaces of the passivation/In0.52Al0.48As and
of the gate contact/In0.52Al0.48As, the carriers are subjected
to the scatterings due to acoustic surface phonons and the
surface roughness because the high transverse electric-field
forces carriers to interact strongly with the semiconductor–
insulator interface. This mobility degradation at the
semiconductor–insulator interface, like the channel region
of a metal oxide semiconductor field effect transistor, is well
described by the Lombardi model [16], where the transverse
field computation normal to the interface is based on the
Enormal methods [16]. The related parameters used in the
simulations are all built-in parameters for the InxGa1KxAs
and the In0.52Al0.48As materials. Moreover, at these
interfaces, the trap centers can exist because the Si3N4
passivation layer deposited on the semiconductors gives rise
to a variety of crystalline defects at the interfaces. To
accommodate the trap effect at the interface of passivations,
we used a one-level acceptor-type trap in the middle of the
energy band gap for the In0.52Al0.48As barrier layer. The
electron and the hole capture cross-sections were set to a
value of 1.0!10K15 cmK2. Through the rigorous calibra-
tions, it was estimated that the interface trap density is
w6.3!1011 cmK2 for the passivation of our fabricated
devices.
3. Results and discussion
Fig. 3(a) shows the comparison of the measurement
results with the simulation data for the Ids–Vds character-
istics. As shown in the plots, the measured and calculated
Idss at a Vgs of 0 V are 429 and 428 mA/mm at the same Vds
of 2.5 V, respectively. The comparison for the gm at a Vds of
1.0 V is also shown in Fig. 3(b). The measured and
calculated gm,max are 390 and 344.7 mS/mm, respectively.
There is some amount of discrepancy in gm,max, therefore
overall simulation data for the millimeter-wave character-
istics are slightly different from the measurements.
However, in the case of DC characteristics, there is an
excellent agreement with the measurement results.
Shown in Fig. 3(c) and (d) is the comparative results of
the millimeter-wave characteristics including S21, h21,
MSG, fT, and fmax. As shown in Fig. 3(c), the S21 gain at
50 GHz obtained from the simulation is w5.99 dB while the
measurement result is w7.92 dB, and the difference of
w1.9 dB is maintained over the whole frequency range.
Other S-parameters and the h21 gains also exhibit a similar
difference of w2 dB. These differences in millimeter-wave
characteristics are not that great, thus it is believed that
the model describes quite closely the device characteristics.
The fT was extracted from the extrapolation of h21
curve. The measured and calculated fT at a bias condition
of VdsZ1.5 V and VgsZK0.7 V are 123 and 113.7 GHz,
respectively, as shown in Fig. 3(e). The fmax was extracted
from the extrapolated curve of Mason’s unilateral gains
(MUG) by the definition of jMUGjZ1 in all simulations.
The calculated and measured fmax were 433 and 207.5 GHz
as extracted at 50 GHz. The difference in fmax is quite great;
however, it is supposed that this difference arises from the
different extraction methods because the calculated result
was extracted from the MUG curve while the measurement
was from the MSG curve.
The scaling effects (gate length and source-drain
spacing) on the MHEMTs were characterized by using the
calibrated model. The same parameter sets were maintained
in the calculation. As the source-drain spacing is decreased,
the Idss is increased, as shown in Fig. 4. The Idss, hereafter, is
defined as a maximum drain saturation current density
measured at a Vg of 0 V. Extrinsic transconductance (gm) is
therefore increased with the decrease of source-drain
spacing. However, one interesting result is that the gm is
decreased with the decrease of gate length, as shown in
Fig. 5. From the classical theory of the device physics, the
gm is to be increased with the reduction of gate length.
However, this model suggests that the opposite result can be
observed in modern nano-scaled HEMT devices, as reported
in other earlier works [19].
In the case of millimeter-wave characteristic, the fT is
increased with the decrease of gate length despite the
corresponding decrease of gm. This result can be explained
by the increase of gate-source capacitance (Cgs) and gate-
drain capacitance (Cgd), as shown in Eq. (4).
fTfgm
ðCgd CCgsÞ(4)
To validate our hypothesis, we calculated both Cgs and Cgd,
and Table 4 shows the results. At the same source-drain
spacing condition, Cgs and Cgd are both decreased with the
decrease of gate length. From a simple calculation using Eq.
(4), it can be shown that increased ratio of fT has a good
agreement with the differential ratio of the gm and the total
capacitance of CgsCCgd.
Vertical scaling effect (barrier and channel thicknesses)
is also examined by varying the barrier layer thickness (15
and 10 nm) and the channel layer thickness (23, 20, 15 and
12 nm). As shown in Table 3, both gm and fT depend on the
source-drain spacing and the gate length. For this reason, the
simulation was performed at a fixed source-drain spacing of
2 mm and a gate length of 0.1 mm by varying the barrier
layer thickness. Table 5 shows that a significant enhance-
ment in gm is obtained with the reduction of the barrier
thickness, and however, that its negligible effect on the
millimeter-wave characteristics is observed. To optimize
Fig. 4. Simulation results for the Ids–Vds at various gate lengths and source-drain spacings. (a) Gate lengthZ0.1 mm, source-drain spacingZ2 mm. (b) Gate
lengthZ0.05 mm, source-drain spacingZ2 mm. (c) Gate lengthZ0.1 mm, source-drain spacingZ2.5 mm. (d) Gate lengthZ0.05 mm, source-drain spacingZ2.5 mm. (e) Gate lengthZ0.1 mm, source-drain spacingZ3 mm. (f) Gate lengthZ0.05 mm, source-drain spacingZ3 mm.
M. Han et al. / Microelectronics Journal 35 (2004) 973–983980
Fig. 5. Simulation results for the transconductance at various gate lengths
and source-drain spacings. (a) Gate lengthZ0.1 mm, source-drain spa-
cingZ2–3 mm. (b) Gate lengthZ0.05 mm, source-drain spacingZ2–3 mm.
Table 4
Simulation results for the Cgd and Cgs at various gate lengths and source-
drain spacings
Gate length
0.05 mm
Gate length
0.1 mm
Source-drain 2 mm Cgd 26.63 fF 38.27 fF
Cgs 19.54 fF 28.24 fF
Source-drain 2.5 mm Cgd 27.1 fF 38.74 fF
Cgs 15.95 fF 20 fF
Source-drain 3 mm Cgd 26.82 fF 40.37 fF
Cgs 13.5 fF 16.42 fF
Table 5
Summary of the electrical characteristics at various barrier layer
thicknesses (gate lengthZ0.1 mm, source-drain spacingZ2 mm)
Barrier thickness
15 nm 10 nm
Idss (mA) Measurement 59.65 No data
Simulation 59.78 58
Vp (V) Measurement K1.7 No data
Simulation K1.5 K1.5
gm (mS/mm) Measurement 390
(VgsZK0.8,
VdsZ1)
No data
Simulation 344.67
(VgsZK0.71,
VdsZ1)
370 (VgsZK0.50,
VdsZ1)
S21 (at 50 l)
(dB)
Measurement 7.92
(VgsZK0.7 V,
VdsZ1.5 V)
No data
Simulation 5.99
(VgsZK0.7 V,
VdsZ1.5 V)
No data
fT (GHz) Measurement 123
(VgsZK0.7 V,
VdsZ1.5 V)
No data
Simulation 113.7
(VgsZK0.7 V,
VdsZ1.5 V)
114
(VgsZK0.7 V,
VdsZ1.5 V)
M. Han et al. / Microelectronics Journal 35 (2004) 973–983 981
the devices performance, a variety of channel thicknesses,
such as 23, 20, and 15 nm were taken into account for the
simulation at a source-drain spacing of 2 mm, a gate length
of 50 nm, and a barrier layer thickness of 10 nm. As shown
in the simulation results of Figs. 6 and 7, the DC and the RF
performances are all enhanced with the decrease of channel
layer thickness (Table 6).
Fig. 6. Simulation results for the gm at various channel thicknesses (source-
drain spacingZ2 mm, gate lengthZ0.05 mm, barrier thicknessZ10 nm).
Fig. 7. Simulation results for the fT and fmax at various channel thicknesses
(source-drain spacingZ2 mm, gate lengthZ0.05 mm, barrier thicknessZ10 nm). (a) fT versus the channel thickness. (b) fmax versus the channel
thickness.
Table 6
Summary of the electrical characteristics at various channel layer
thicknesses (gate lengthZ0.05 mm, source-drain spacingZ2 mm)
Thickness of
channel layer
(nm)
Gate length (50 nm)/barrier thickness
(10 nm), source-drain spacing (2 mm)
Idss (mA) 23 56.3 (at VdsZ2.5 V)
20 55.7 (at VdsZ2.5 V)
15 54.5 (at VdsZ2.5 V)
12 53.5 (at VdsZ2.5 V)
VT (V) 23 K1.353
20 K1.273
15 K1.128
12 K1.137
gm,max
(mS/mm)
23 295.15 (at VgsZK0.65, VdsZ1.0 V)
20 316.66 (at VgsZK0.62, VdsZ1.0 V)
15 354.60 (at VgsZK0.77, VdsZ1.0 V)
12 358.91 (at VgsZK0.78, VdsZ1.0 V)
fT,max
(GHz)
23 137.44 (at VgsZK0.93, VdsZ1.5 V)
20 143.42 (at VgsZK0.88, VdsZ1.5 V)
15 152.28 (at VgsZK0.80, VdsZ1.5 V)
12 155.18 (at VgsZK0.80, VdsZ1.5 V)
fmax,max
(GHz)
23 218.13 (at VgsZK1.00, VdsZ1.5 V)
20 225.55 (at VgsZK0.99, VdsZ1.5 V)
15 233.20 (at VgsZK0.87, VdsZ1.5 V)
12 239.36 (at VgsZK0.90, VdsZ1.5 V)
M. Han et al. / Microelectronics Journal 35 (2004) 973–983982
4. Summary
A model for the sub-0.1-mm offset G-gate In0.53Ga0.47
As/In0.52Al0.48As MHEMTs is reported with a reasonable
agreement with the electrical characteristics measured from
the fabricated 0.1 mm devices. To take into account the
sophisticated carrier transport physics in sub-0.1-mm
devices, all the parameters were calibrated using the
measurement data with various physical considerations for
the model to obtain accurate device performances.
We examined the effects of device scaling in both lateral
and vertical directions on the MHEMTs. From the
simulations, the MHEMTs gave the best electrical perform-
ances at a condition of 0.1 mm source-drain spacing, 50 nm
gate length, 10 nm barrier layer thickness, and 23 nm
channel layer thickness.
Acknowledgments
This work was supported by Korea Science and
Engineering Foundation (KOSEF) under the Engineering
Research Center (ERC) program through the Millimeter-
Wave Innovation Technology Research Center at Dongguk
University.
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