Unified semiclassical approach to electronic transport from diffusive to ballistic regimes  

作　　者：耿浩 邓伟胤 任月皎 盛利 邢定钰 

机构地区：[1]National Laboratory of Solid State Microstructures and Department of Physics,Nanjing University [2]Collaborative Innovation Center of Advanced Microstructures,Nanjing University

出　　处：《Chinese Physics B》2016年第9期489-494,共6页中国物理B（英文版）

基　　金：Project supported by the National Basic Research Program of China(Grant Nos.2015CB921202 and 2014CB921103);the National Natural Science Foundation of China(Grant No.11225420)

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–B ¨uttiker 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.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–B ¨uttiker 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 

分 类 号：O175[理学—数学] O411[理学—基础数学]