中国物理B ›› 2019, Vol. 28 ›› Issue (12): 124401-124401.doi: 10.1088/1674-1056/ab4d3e

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇    下一篇

Polarization resolved analysis of phonon transport in a multi-terminal system

Yun-Feng Gu(顾云风), Liu-Tong Zhu(朱留通), Xiao-Li Wu(吴晓莉)   

  1. College of Electronic and Mechanical Engineering, Nanjing Forestry University, Nanjing, 210037, China
  • 收稿日期:2019-06-16 修回日期:2019-08-13 出版日期:2019-12-05 发布日期:2019-12-05
  • 通讯作者: Yun-Feng Gu E-mail:gu_yunfeng@sina.com
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 51376094) and Jiangsu Overseas Visiting Scholar Program for University Prominent Young & Middle-aged Teachers and Presidents, China.

Polarization resolved analysis of phonon transport in a multi-terminal system

Yun-Feng Gu(顾云风), Liu-Tong Zhu(朱留通), Xiao-Li Wu(吴晓莉)   

  1. College of Electronic and Mechanical Engineering, Nanjing Forestry University, Nanjing, 210037, China
  • Received:2019-06-16 Revised:2019-08-13 Online:2019-12-05 Published:2019-12-05
  • Contact: Yun-Feng Gu E-mail:gu_yunfeng@sina.com
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 51376094) and Jiangsu Overseas Visiting Scholar Program for University Prominent Young & Middle-aged Teachers and Presidents, China.

摘要: The atomistic Green's function method is improved to compute the polarization resolved phonon transport in a multi-terminal system. Based on the recent developments in literature, the algorithm is simplified. The complex phonon band structure of a semi-infinite periodic terminal is obtained by the generalized eigenvalue equation. Then both the surface Green's function and phonon group velocity in the terminal are determined from the wave modes propagating away from the scattering region along the terminal. With these key ingredients, the individual phonon mode transmittance between the terminals can be calculated. The feasibility and validity of the method are demonstrated by the chain example compared with the wave packet method, and an example of graphene nanojunction with three terminals.

关键词: Green', s function method, phonon transport, multi-terminal systems

Abstract: The atomistic Green's function method is improved to compute the polarization resolved phonon transport in a multi-terminal system. Based on the recent developments in literature, the algorithm is simplified. The complex phonon band structure of a semi-infinite periodic terminal is obtained by the generalized eigenvalue equation. Then both the surface Green's function and phonon group velocity in the terminal are determined from the wave modes propagating away from the scattering region along the terminal. With these key ingredients, the individual phonon mode transmittance between the terminals can be calculated. The feasibility and validity of the method are demonstrated by the chain example compared with the wave packet method, and an example of graphene nanojunction with three terminals.

Key words: Green', s function method, phonon transport, multi-terminal systems

中图分类号:  (Heat conduction)

  • 44.10.+i
63.20.D- (Phonon states and bands, normal modes, and phonon dispersion) 63.22.-m (Phonons or vibrational states in low-dimensional structures and nanoscale materials) 81.05.ue (Graphene)