Thermal conductivity of GaAs/AlAs superlattices: The Umklapp process
Yang Yu-Rong (杨玉荣)a, Yan Xiao-Hong (颜晓红)abc, Cao Jue-Xian (曹觉先)a, Xiao Yang (肖杨)a, Mao Yu-Liang (毛宇亮)a, Xiang Jun (向君)a, Yu Hai-Lin (于海林)a
a Department of Physics, Xiangtan University, Xiangtan 411105, China; b Interdisciplinary Centre of Theoretical Studies and Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100080, Chinac College of Science, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
Abstract The thermal conductivity of GaAs/AlAs superlattices limited by the three-phonon Umklapp process and boundary scattering has been studied theoretically based on the model of lattice dynamics with force constant matrix. It was found that the Umklapp relaxation rate approximates $BT\omega^2/n$ with a fitting parameter B. The thermal conductivity increases with the increase of temperature at low temperatures, and would show a peak behaviour at about 60K before falling off at high temperatures. In addition, the thermal conductivity increases with the increase of period thickness of the superlattices.
Received: 19 March 2004
Revised: 14 July 2004
Accepted manuscript online:
PACS:
66.70.-f
(Nonelectronic thermal conduction and heat-pulse propagation in solids;thermal waves)
Fund: Project supported by the Major Programme of Education Bureau of Hunan Province, China (Grant No 03A046), the Science Foundation of Science and Technology Department of Hunan Province, China (Grant No 03JZY3019), and by the Natural Science Foundation of Hu
Cite this article:
Yang Yu-Rong (杨玉荣), Yan Xiao-Hong (颜晓红), Cao Jue-Xian (曹觉先), Xiao Yang (肖杨), Mao Yu-Liang (毛宇亮), Xiang Jun (向君), Yu Hai-Lin (于海林) Thermal conductivity of GaAs/AlAs superlattices: The Umklapp process 2004 Chinese Physics 13 2109
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