Unified semiclassical approach to electronic transport from diffusive to ballistic regimes

doi:10.1088/1674-1056/25/9/097201

中国物理B ›› 2016, Vol. 25 ›› Issue (9): 97201-097201.doi: 10.1088/1674-1056/25/9/097201

• CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES • 上一篇下一篇

Unified semiclassical approach to electronic transport from diffusive to ballistic regimes

Hao Geng(耿浩), Wei-Yin Deng(邓伟胤), Yue-Jiao Ren(任月皎), Li Sheng(盛利), Ding-Yu Xing(邢定钰)

1. National Laboratory of Solid State Microstructures and Department of Physics, Nanjing University, Nanjing 210093, China;
2. Collaborative Innovation Center of Advanced Microstructures, Nanjing University, Nanjing 210093, China

收稿日期:2016-05-09 修回日期:2016-05-30 出版日期:2016-09-05 发布日期:2016-09-05
通讯作者: Li Sheng E-mail:shengli@nju.edu.cn
基金资助:
Project supported by the National Basic Research Program of China (Grant Nos. 2015CB921202 and 2014CB921103) and the National Natural Science Foundation of China (Grant No. 11225420).

Unified semiclassical approach to electronic transport from diffusive to ballistic regimes

Hao Geng(耿浩)¹, Wei-Yin Deng(邓伟胤)¹, Yue-Jiao Ren(任月皎)¹, Li Sheng(盛利)^1,2, Ding-Yu Xing(邢定钰)^1,2

1. National Laboratory of Solid State Microstructures and Department of Physics, Nanjing University, Nanjing 210093, China;
2. Collaborative Innovation Center of Advanced Microstructures, Nanjing University, Nanjing 210093, China

Received:2016-05-09 Revised:2016-05-30 Online:2016-09-05 Published:2016-09-05
Contact: Li Sheng E-mail:shengli@nju.edu.cn
Supported by:
Project supported by the National Basic Research Program of China (Grant Nos. 2015CB921202 and 2014CB921103) and the National Natural Science Foundation of China (Grant No. 11225420).

摘要/Abstract

摘要：

We show that by integrating out the electric field and incorporating proper boundary conditions, a Boltzmann equation can describe electron transport properties, continuously from the diffusive to ballistic regimes. General analytical formulas of the conductance in D=1,2,3 dimensions are obtained, which recover the Boltzmann-Drude formula and Landauer-Büttiker formula in the diffusive and ballistic limits, respectively. This intuitive and efficient approach can be applied to investigate the interplay of system size and impurity scattering in various charge and spin transport phenomena, when the quantum interference effect is not important.

关键词: Boltzmann equation, ballistic transport, diffusive transport, size effect

Abstract:

Key words: Boltzmann equation, ballistic transport, diffusive transport, size effect

中图分类号: (General formulation of transport theory)

72.10.Bg

73.23.Ad (Ballistic transport) 72.15.Lh (Relaxation times and mean free paths)

耿浩, 邓伟胤, 任月皎, 盛利, 邢定钰. Unified semiclassical approach to electronic transport from diffusive to ballistic regimes[J]. 中国物理B, 2016, 25(9): 97201-097201.

Hao Geng(耿浩), Wei-Yin Deng(邓伟胤), Yue-Jiao Ren(任月皎), Li Sheng(盛利), Ding-Yu Xing(邢定钰). Unified semiclassical approach to electronic transport from diffusive to ballistic regimes[J]. Chin. Phys. B, 2016, 25(9): 97201-097201.

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Unified semiclassical approach to electronic transport from diffusive to ballistic regimes

Unified semiclassical approach to electronic transport from diffusive to ballistic regimes

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