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电导涨落的自动图形算法及应用
引用本文:万浪辉,余陨金,卫亚东. 电导涨落的自动图形算法及应用[J]. 深圳大学学报(理工版), 2011, 28(4)
作者姓名:万浪辉  余陨金  卫亚东
作者单位:深圳大学物理科学与技术学院,深圳 518060;深圳大学计算凝聚态物理研究所,深圳 518060
基金项目:国家自然科学基金资助项目(10947018,11074171)~~
摘    要:在随机矩阵理论框架下,发展了量子系统电导和自旋霍尔电导涨落的高阶效应的自动图形计算方法.计算了2端子混沌空腔中直至5阶的电导涨落的解析表达式,给出随机矩阵理论系综自旋霍尔电导涨落的一般公式,发现在通道数目较多时,对正交系综和幺正系综,自旋霍尔电导存在普适的方差1/8.

关 键 词:凝聚态理论  量子输运  电导  统计涨落  图形技术  

Automatic diagram calculation method and its applications for the fluctuations of conductance
WAN Lang-hui,YU Yun-jin,WEI Ya-dong. Automatic diagram calculation method and its applications for the fluctuations of conductance[J]. Journal of Shenzhen University(Science &engineering), 2011, 28(4)
Authors:WAN Lang-hui  YU Yun-jin  WEI Ya-dong
Affiliation:WAN Lang-hui1,2,YU Yun-jin1,and WEI Ya-dong1,21)College of Physics Science and Technology Shenzhen University Shenzhen 518060 P.R.China2)The Institute of Computational Condensed Matter Physics,Shenzhen 518060 P.R.China
Abstract:Based on random-matrix theory,an automatic diagram calculation method for the higher order fluctuations of conductance and spin-Hall conductance was developed.The conductance fluctuations were calculated analytically up to the fifth order in the quantum system of the chaotic cavity connected with two ideal leads.The general formula for spin-Hall conductance fluctuations in random-matrix theory ensemble was reported for the first time.In the limits of large channel numbers,the universal spin-hall fluctuation...
Keywords:condensed matter theory  quantum transport  electric conductance  statistics fluctuation  diagram technique  
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