Abstract
The phenomenon of heat conduction is important in semiconductor devices. This property is investigated on the basis of modified Callway model. The formalism was carried out using Hamiltonian, phonon Green’s function and equation of motion techniques for various scattering events. It was found that every scattering mechanism is independent of each other and does not affect the others. The thermal conductivity of lead sulphide (PbS) semiconductor has been studied on the basis of this concept. The results of the present model are in good agreement with experimental results and the model shows good future scope with other semiconductors and superconductors.
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References
W Ma, J M Luther, H Zheng, Y Wu and A P Alivisatos, Nano Lett. 9, 2072 (2009)
V L Colvin, M C Schlamp and A P Alivisatos, Nature 370, 354 (1994)
M Law, M C Beard, S Choi, J M Luther, M C Hanna and A J Nozik, Nano Lett. 8, 3904 (2008)
S Ahmad, S Bhattacharya, A Singh, R Basu, R Bhatt, A K Bohra, K P Muthe and S C Gadkari, AIP Conf. Proc. 1832,110008 (2017)
M J Skelton, S C Parker, A Togo, I Tanaka and A Walsh, Phys. Rev. B 205203 (2014)
E H Putley and J B Arthur, Proc. Phys. Soc. Ser. B 64 (7), 616 (1951)
F Bischeff, L C Maxwell, D E Richard and N R Franklin, J. Pharmacol. Exp. Therap. 34(1), 85 (1928)
E S Bozin, C D Malliakas, P Souvatzis, T Proffen, N A Spaldin, M G Kanatzidis and S J L Billinge, Science 330,1660 (2010)
O Delaire, J Ma, K Marty, A F May, M A McGuire, M Du, D J Singh, A Podlesnyak, G Ehlers, M D Lumsde and B C Sales, Nature Mater. 10, 614 (2011)
S Kastbjerg, N Bindzus, M Sondergaard, S Johnsen, N Lock, M Christensen, M Takata, M A Spackman and B B Iversen, Adv. Func. Mater. 23, 5477 (2013)
C Ramkumar, K P Jain and S C Abbi, Phys. Rev. B 53, 13672 (1996)
Cornaton, M Ringholm, O Lauant and K Ruud, Phys. Chem. Chem. Phys. 18, 4201 (2016)
M Cordona and T Ruf, Solid State Commun. 117, 201 (2001)
T Keiber, F Bridges and B C Sales, Phys. Rev. Lett. 111, 095504 (2013)
H Kim and M Kaviany, Phys, Rev. B 86, 045213 (2012)
D Greig, Phys. Rev. 120, 358 (1960)
Y Zhang, X Ke, C Chen, J Yang and P R C Kent, Phys. Rev. B 80, 024304 (2009)
T Jia, G Chen and Y Zhang, Phys. Rev. B 95, 155206 (2017)
N Shulumba, O Hellman and A J Minnich, Phys. Rev. B 95, 014302 (2017)
L Wei, J Chen, Q Y He and W Teng, J. Alloys Compds 584, 381 (2014)
R Dingle, W Wiegmann and C H Henry, Phys. Rev. Lett. 33, 827 (1974)
J Callaway, Phys. Rev. 113,1046 (1959)
B D Indu, Int. J. Mod. Phys. B 4,1379 (1990)
R P Gairola, Phys. State Solidi B 125, 65 (1984)
K N Pathak, Phys. Rev. A 139, 1569 (1965)
P K Sharma and R Bahadur, Phys. Rev. B 12, 1522 (1975)
D N Zubarev, Usp. Fiz. Nauk 71, 71 (1960)
H B G Casimir, Physica 5, 495 (1938)
P Hyldgaard and G D Mahan, Phys. Rev. B 56, 10754 (1997)
G Chen, J. Heat Trans. 119, 220 (1997)
B D Indu, Mod. Phys. Lett. B 6, 1665 (1992)
B P Bahuguna, C P Painuli and B D Indu, Acta Phys. Pol. A 80, 527 (1991)
V Ashokan, B D Indu and A Kr Dimri, AIP Adv. 1, 032101-1 (2011)
R Saini, V Ashokan and B D Indu, Superlatt. Microstruct. 82, 574 (2015)
P G Klemens, Proc. R. Soc. (London) A 68, 1113 (1965)
P Erdos and S B Halley, Phys. Rev. 184, 951 (1969)
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Saini, R. Effect of impurities and defect in thermal conductivity of lead sulphide. Pramana - J Phys 94, 117 (2020). https://doi.org/10.1007/s12043-020-01981-2
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DOI: https://doi.org/10.1007/s12043-020-01981-2