中国物理B ›› 2004, Vol. 13 ›› Issue (12): 2109-2114.doi: 10.1088/1009-1963/13/12/023

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Thermal conductivity of GaAs/AlAs superlattices: The Umklapp process

杨玉荣1, 曹觉先1, 肖杨1, 毛宇亮1, 向君1, 于海林1, 颜晓红2   

  1. (1)Department of Physics, Xiangtan University, Xiangtan 411105, China; (2)Interdisciplinary Centre of Theoretical Studies and Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100080, China; College of Science, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
  • 收稿日期:2004-03-19 修回日期:2004-07-14 出版日期:2004-12-17 发布日期:2005-03-17
  • 基金资助:
    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

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   

  1. 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
  • Received:2004-03-19 Revised:2004-07-14 Online:2004-12-17 Published:2005-03-17
  • Supported by:
    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

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摘要： 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 BTω^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.

关键词: thermal conductivity, superlattices, three-phonon Umklapp process

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.

Key words: thermal conductivity, superlattices, three-phonon Umklapp process

中图分类号:  (Nonelectronic thermal conduction and heat-pulse propagation in solids;thermal waves)

  • 66.70.-f
68.65.Cd (Superlattices)