Unified semiclassical approach to electronic transport from diffusive to ballistic regimes

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

Abstract

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.

Keywords: Boltzmann equation ballistic transport diffusive transport size effect

Received: 09 May 2016
Revised: 30 May 2016
Accepted manuscript online:

PACS:	72.10.Bg	(General formulation of transport theory)
	73.23.Ad	(Ballistic transport)
	72.15.Lh	(Relaxation times and mean free paths)

Fund:

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).

Corresponding Authors: Li Sheng
E-mail: shengli@nju.edu.cn

Cite this article:

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 2016 Chin. Phys. B 25 097201

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Unified semiclassical approach to electronic transport from diffusive to ballistic regimes

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