SiGe alloys represent an important type of high-temperature semiconductor material for solid-state energy conversion. In the present study, the near-field radiative heat transfer between heavily doped SiGe plates is investigated. A dielectric function model is formulated based on the previously reported room-temperature mobility and temperature-dependent electric resistivity of several silicon-rich alloys with different doping type and concentration. Fluctuational electrodynamics is used to evaluate the near-field noncontact heat transfer coefficient. The variation of the heat transfer coefficient with doping concentration and temperature is explained according to the change in the optical constants and in the spectral distribution of the near-field heat flux.

References

1.
Zhang
,
Z. M.
, 2007,
Nano/Microscale Heat Transfer,
McGraw-Hill
,
New York
, Chap. 10.
2.
Basu
,
S.
,
Zhang
,
Z. M.
, and
Fu
,
C. J.
, 2009, “
Review of Near-Field Thermal Radiation and Its Application to Energy Conversion
,”
Int. J. Energy Res.
,
33
, pp.
1203
1232
.
3.
Joulain
,
K.
,
Mulet
,
J.-P.
,
Marquier
,
F.
,
Carminati
,
R.
, and
Greffet
,
J.-J.
, 2005, “
Surface Electromagnetic Waves Thermally Excited: Radiative Heat Transfer, Coherence Properties and Casimir Forces Revisited in the Near-Field
,”
Surf. Sci. Rep.
,
57
, pp.
59
112
.
4.
Laroche
,
M.
,
Carminati
,
R.
, and
Greffet
,
J.-J.
, 2006, “
Near-Field Thermophotovoltaic Energy Conversion
,”
J. Appl. Phys.
,
100
, p.
063704
.
5.
Park
,
K.
,
Basu
,
S.
,
King
,
W. P.
, and
Zhang
,
Z. M.
, 2008, “
Performance Analysis of Near-Field Thermophotovoltaic Devices Considering Absorption Distribution
,”
J. Quant. Spectrosc. Radiat. Transf.
,
109
, pp.
305
316
.
6.
Francoeur
,
M.
,
Vaillon
,
R.
, and
Mengüç
,
M. P.
, 2011, “
Thermal Impacts on the Performance of Nanoscale-Gap Thermophotovoltaic Power Generators
,”
IEEE Trans. Energy Convers.
,
26
, pp.
686
698
.
7.
De Wilde
,
Y.
,
Formanek
,
F.
,
Carminati
,
R.
,
Gralak
,
B.
,
Lemoine
,
P. A.
,
Joulain
,
K.
,
Mulet
,
J.-P.
,
Chen
,
Y.
, and
Greffet
,
J.-J.
, 2006, “
Thermal Radiation Scanning Tunnelling Microscopy
,”
Nature
,
444
, pp.
740
743
.
8.
Basu
,
S.
, and
Francoeur
,
M.
, 2011, “
Near-Field Radiative Transfer Based Thermal Rectification Using Doped Silicon
,”
Appl. Phys. Lett.
,
98
, p.
113106
.
9.
Otey
,
C. R.
,
Lau
,
W. T.
, and
Fan
,
S.
, 2010, “
Thermal Rectification through Vacuum
,”
Phys. Rev. Lett.
,
104
, p.
154301
.
10.
Mulet
,
J.-P.
,
Joulain
,
K.
,
Carminati
,
R.
, and
Greffet
,
J.-J.
, 2002, “
Enhanced Radiative Heat Transfer at Nanometric Distances
,”
Microscale Thermophys. Eng.
,
6
, pp.
209
222
.
11.
Volokitin
,
A. I.
, and
Persson
,
B. N. J.
, 2004, “
Resonant Photon Tunneling Enhancement of the Radiative Heat Transfer
,”
Phys. Rev. B
,
69
, p.
045417
.
12.
Basu
,
S.
,
Lee
,
B. J.
, and
Zhang
,
Z. M.
, 2010, “
Near-Field Radiation Calculated With an Improved Dielectric Function Model for Doped Silicon
,”
ASME Trans. J. Heat Transfer
,
132
, p.
203302
.
13.
Rousseau
,
E.
,
Laroche
,
M.
, and
Greffet
,
J.-J.
, 2009, “
Radiative Heat Transfer at Nanoscale Mediated by Surface Plasmons for Highly Doped Si
,”
Appl. Phys. Lett.
,
95
, p.
231913
.
14.
Polder
,
D.
, and
Vanhove
,
M.
, 1971, “
Theory of Radiative Heat Transfer Between Closely Spaced Bodies
,”
Phys. Rev. B
,
4
, pp.
3303
3314
.
15.
Cravalho
,
E. G.
,
Tien
,
C. L.
, and
Caren
,
R. P.
, 1967, “
Effect of Small Spacings on Radiative Transfer Between Two Dielectrics
,”
ASME Trans. J. Heat Transfer
,
89
, pp.
351
358
.
16.
Chapuis
,
P. O.
,
Volz
,
S.
,
Henkel
,
C.
,
Joulain
,
K.
, and
Greffet
,
J.-J.
, 2008, “
Effects of Spatial Dispersion in Near-Field Radiative Heat Transfer Between Two Parallel Metallic Surfaces
,”
Phys. Rev. B
,
77
, p.
035431
.
17.
Fu
,
C. J.
, and
Zhang
,
Z. M.
, 2006, “
Nanoscale Radiation Heat Transfer for Silicon at Different Doping Levels
,”
Int. J. Heat Mass Transfer
,
49
, pp.
1703
1718
.
18.
Fu
,
C. J.
, and
Tan
,
W. C.
, 2009, “
Near-Field Radiative Heat Transfer Between Two Plane Surfaces With One Having a Dielectric Coating
,”
J. Quant. Spectrosc. Radiat. Transf.
,
110
, pp.
1027
1036
.
19.
Francoeur
,
M.
,
Menguc
,
P. M.
, and
Vaillon
,
R.
, 2010, “
Spectral Tuning of Near-Field Radiative Heat Flux Between Two Thin Silicon Carbide Films
,”
J. Phys. D: Appl. Phys.
,
43
, p.
075501
.
20.
Ben-Abdallah
,
P.
,
Joulain
,
K.
,
Drevillon
,
J.
, and
Domingues
,
G.
, 2009, “
Near-Field Heat Transfer Mediated by Surface Wave Hybridization Between Two Films
,”
J. Appl. Phys.
,
106
, p.
044306
.
21.
Francoeur
,
M.
,
Menguc
,
P. M.
, and
Vaillon
,
R.
, 2009, “
Solution of Near-Field Thermal Radiation in One-Dimensional Layered Media Using Dyadic Green’s Functions and the Scattering Matrix Method
,”
J. Quant. Spectrosc. Radiat. Transf.
,
110
, pp.
2002
2018
.
22.
Wang
,
L. P.
,
Basu
,
S.
, and
Zhang
,
Z. M.
, 2011, “
Direct and Indirect Methods for Calculating Thermal Emission from Layered Structures With Nonuniform Temperatures
,”
ASME Trans. J. Heat Transfer
,
133
, p.
072701
.
23.
Narayanaswamy
,
A.
, and
Chen
,
G.
, 2005, “
Thermal Radiation in 1D Photonic Crystals
,”
J. Quant. Spectrosc. Radiat. Transf.
,
93
, pp.
175
183
.
24.
Ben-Abdallah
,
P.
,
Joulain
,
K.
, and
Pryamikov
,
A.
, 2010, “
Surface Bloch Waves Mediated Heat Transfer Between Two Photonic Crystals
,”
Appl. Phys. Lett.
,
96
, p.
143117
.
25.
Joulain
,
K.
,
Drevillon
,
J.
, and
Ben-Abdallah
,
P.
, 2010, “
Noncontact Heat Transfer Between Two Metamaterials
,”
Phys. Rev. B.
,
81
, p.
165119
.
26.
Zhang
,
Z. H.
, and
Xuan
,
Y. M.
, 2011, “
Theory of Near-Field Radiative Heat Transfer for Stratified Magnetic Media
,”
Int. J. Heat Mass Transfer
,
54
, pp.
1101
1110
.
27.
Xu
,
J. B.
,
Läuger
,
K.
,
Möller
,
R.
,
Drasfeld
,
K.
, and
Wilson
,
I. H.
, 1994, “
Energy-Exchange Processes by Tunneling Electrons
,”
Appl. Phys. A: Solids Surf.
,
59
, pp.
155
161
.
28.
Dillner
,
U.
, 2008, “
The Effect of Thermotunneling on the Thermoelectric Figure of Merit
,”
Energy Convers. Manage.
,
19
, pp.
3409
3416
.
29.
Enikov
,
E. T.
, and
Makansi
,
T.
, 2008, “
Analysis of Nanometer Vacuum Gap Formation in Thermo-Tunneling Devices
,”
Nanotechnology
,
19
, p.
075703
.
30.
Westover
,
T. L.
, and
Fisher
,
T. S.
, 2008, “
Simulation of Refrigeration by Electron Emission Across Nanometer-Scale Gaps
,”
Phys. Rev. B
,
77
, p.
115426
.
31.
Arik
,
M.
,
Bray
,
J.
, and
Weaver
,
S.
, 2010, “
Solid State Thermotunneling Systems for Power Generation
,”
Nanosci. Nanotechnol. Lett.
,
2
, pp.
189
195
.
32.
Dismukes
,
J. P.
,
Ekstrom
,
L.
,
Steigmeier
,
E. F.
,
Kudman
,
I.
, and
Beers
,
D. S.
, 1964, “
Thermal and Electrical Properties of Heavily Doped Ge-Si Alloys up to 1300 K
,”
J. Appl. Phys.
,
35
, pp.
2899
2907
.
33.
Rowe
,
D. M.
, 1975, “
Electrical Properties of Hot-Pressed Germanium-Silicon-Boron Alloys
,”
J. Phys. D: Appl. Phys.
,
8
, pp.
1092
1103
.
34.
Rowe
,
D. M.
, 1974, “
Theoretical Optimization of the Thermoelectric Figure of Merit of Heavily Doped Hot-Pressed Germanium-Silicon Alloys
,”
J. Phys. D: Appl. Phys.
,
7
, pp.
1843
1846
.
35.
Vining
,
C. B.
,
Laskow
,
W.
,
Hanson
,
J. O.
,
Van der Beck
,
R. R.
, and
Gorsuch
,
P. D.
, 1991, “
Thermoelectric Properties of Pressure-Sintered Si0.8Ge0.2 Thermoelectric Alloys
,”
J. Appl. Phys.
,
69
, pp.
4333
4340
.
36.
Humlicek
,
J.
,
Lukes
,
F.
, and
Schmidt
,
E.
, 1991, “
Silicon-Germanium Alloys (SixGe1−x)
,”
Handbook of Optical Constants of Solids
, Vol.
2
,
E. D.
Palik
, ed.,
Academic Press
,
San Diego, CA
, pp.
607
636
.
37.
Humlicek
,
J.
, 1998, “
Silicon-Germanium Alloys (SixGe1−x) Revisited
,”
Handbook of Optical Constants of Solids
, Vol.
3
,
E. D.
Palik
, ed.,
Academic Press
,
San Diego, CA
, pp.
537
552
.
38.
Basu
,
S.
,
Lee
,
B. J.
, and
Zhang
,
Z. M.
, 2010, “
Infrared Radiative Properties of Heavily Doped Silicon at Room Temperature
,”
ASME Trans. J. Heat Transfer
,
132
, p.
023301
.
39.
Schäffler
,
F.
, 2001, “
Silicon-Germanium (Si1−xGex)
,”
Properties of Advanced Semiconductor Materials
,
M. E.
Levinshtein
,
S. L.
Rumyantsev
, and
M. S.
Shur
, eds.,
Wiley
,
New York
, Chap. 6, pp.
149
188
.
40.
Sze
,
S. M.
,
Physics of Semiconductor Devices
,
Wiley
,
New York
, Chap. 1.
41.
Basu
,
S.
, and
Zhang
,
Z. M.
, 2009, “
Maximum Energy Transfer in Near-Field Thermal Radiation at Nanometer Distances
,”
J. Appl. Phys.
,
105
, p.
093535
42.
Ben-Abdallah
,
P.
, and
Joulain
,
K.
, 2010, “
Fundamental Limits for Noncontact Transfers Between Two Bodies
,”
Phys. Rev. B
,
82
, p.
121419R
.
43.
Biehs
,
S.-A.
,
Rousseau
,
E.
, and
Greffet
,
J.-J.
, 2010, “
Mesoscopic Description of Radiative Heat Transfer at the Nanoscale
,”
Phys. Rev. Lett.
,
105
, p.
234301
.
44.
Zhang
,
Z. M.
, and
Wang
,
X. J.
, 2010, “
Unified Wien’s Displacement Law in Terms of the Logarithmic Frequency or Wavelength Scale
,”
J. Thermophys. Heat Transfer
,
24
, pp.
222
224
.
45.
Wang
,
X. J.
,
Basu
,
S.
, and
Zhang
,
Z. M.
, 2009, “
Parametric Optimization of Dielectric Functions for Maximizing Nanoscale Radiative Transfer
,”
J. Phys D: Appl. Phys.
,
42
, p.
245403
.
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