In recent years Indium Nitride (InN) has attracted much attention due to
the considerable advancement in the growth of high quality
crystals. Furthermore, several new works on the material properties
proposed a bandgap of 0.7 eV
[215],[216],[217] instead of
1.9 eV [4]. Here a Monte Carlo approach is used to investigate
the electron transport, considering two band structures
[218],[219]. The calculations include the three
lowest valleys of the conduction band (depending on the chosen band
structure, see Table 3.4) and account for
non-parabolicity effects. Several stochastic mechanisms such as acoustic
phonon, polar optical phonon, inter-valley phonon, Coulomb, and
piezoelectric scattering are considered and their impact is assessed
[8]. The parameter values for the acoustic
deformation potential (ADP
=7.1 eV), polar-optical phonon
scattering (
=73 meV or 89 meV), inter-valley
scattering (
=
), mass density
(
=6.81 g/cm
), and static and high-frequency dielectric
constants (
=15.3 and
=8.4) are adopted from
[219],[221]. In addition, the influence of
another set of dielectric constants (
=11.0 and
=6.7)
recently proposed in [222] in conjunction with the narrow bandgap
and lower effective mass is studied.
Bandgap energy | Electron mass | Non-parabolicity | Scattering models | Ref. | ||||||||
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A |
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|
eV | eV | eV | m![]() |
m![]() |
m![]() |
1/eV | 1/eV | 1/eV | meV | - | - | |
1.89 | 4.09 | 4.49 | 0.11 | 0.4 | 0.6 | 0.419 | 0.088 | 0.036 | - | - | - | [218] |
1.89 | - | - | 0.11 | - | - | - | - | - | 89 | 15.3 | 8.4 | [176] |
1.89 | 4.09 | 4.49 | 0.11 | 0.4 | 0.6 | 0.419 | 0.88 | 0.036 | 89 | 15.3 | 8.4 | [223] |
1.89 | - | - | 0.11 | - | - | 0.419 | - | - | 89 | 15.3 | 8.4 | [224] |
0.8 | 3.0 | 3.4 | 0.042 | 1.0 | 1.0 | 0.419 | - | - | 89 | 15.3 | 8.4 | [225] |
1.89 | 4.09 | 4.49 | 0.11 | 0.4 | 0.6 | 0.419 | 0.88 | 0.036 | 89 | 15.3 | 8.4 | |
---|---|---|---|---|---|---|---|---|---|---|---|---|
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M-L |
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|
eV | eV | eV | m![]() |
m![]() |
m![]() |
1/eV | 1/eV | 1/eV | meV | - | - | |
0.69 | 2.47 | 3.399 | 0.04 | 0.25 | 1 | 1.413 | 0 | 0 | 73 | 15.3 | 8.4 | [221] |
0.7 | - | - | 0.07 | - | - | - | - | - | - | 9.3 | 6.7 | [226] |
0.69 | 2.47 | 3.399 | 0.04 | 0.25 | 1 | 1.413 | 0 | 0 | 75/89 | 11.0 | 6.7 |
An accurate piezoelectric scattering model, which accounts for
non-parabolicity and wurtzite crystal structure, is also employed
[227]. Table 3.5 summarizes
experimental values for the elastic constants (,
, and
) of wurtzite InN. From these the corresponding longitudinal and
transversal elastic constants (
and
) and sound
velocities (
and
) are calculated.
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Ref. |
GPa | GPa | GPa | GPa | GPa | m![]() |
m![]() |
|
- | - | - | 265 | 44 | 6240 | 2550 | [176] |
223 | 115 | 48 | 218 | 50 | 5660 | 2720 | [168] |
190 | 104 | 10 | 163 | 23 | 4901 | 1845 | [228] |
271 | 124 | 46 | 248 | 57 | 6046 | 2893 | [167] |
258 | 113 | 53 | 242 | 61 | 5966 | 2987 | [229] |
Table 3.6 gives theoretical values of the piezoelectric
coefficients and
available in the literature and the
calculated corresponding
and
(
=
is assumed). Choosing the set of elastic constants
from [168] and piezoelectric coefficients from [230]
results in a coupling coefficient
=0.24.