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Number-resolved master equation approach to quantum transport under the self-consistent Born approximation

查看全文 作  者:LIU [1]Yu;JIN [2]JinShuang;LI [3]Jun;LI [1,4]XinQi;YAN [5]YiJing 高影响力作者 机构地区:[1]State Key Laboratory for Superlattices and Microstructures,Institute of Semiconductors, Chinese Academy of Sciences;[2]Department of Physics, Hangzhou Normal University;[3]Beijing Computational Science Research Center;[4]Department of Physics, Beijing Normal University;[5]Department of Chemistry, Hong Kong University of Science and Technology,Kowloon, Hong Kong高影响力机构 出  处:《Science China(Physics,Mechanics & Astronomy)》索引2013年第56卷第10期,共8页高影响力期刊 基  金:supported by the National Natural Science Foundation of China;the Major State Basic Research Project of China(Grant Nos.2011CB808502 and 2012CB932704);the Fundamental Research Funds for the Central Universities of China;supportedby the Program for Excellent Young Teachers in Hangzhou Normal University;the National Natural Science Foundation of China(Grant No.11274085) 摘  要:We construct a particle-number(n)-resolved master equation(ME) approach under the self-consistent Born approximation(SCBA) for quantum transport through mesoscopic systems.The formulation is essentially non-Markovian and incorporates the interplay of the multi-tunneling processes and many-body correlations.The proposed n-SCBA-ME goes beyond the scope of the BornMarkov master equation,being applicable to transport under small bias voltage,in non-Markovian regime and with strong Coulomb correlations.For steady state,it can recover not only the exact result of noninteracting transport under arbitrary voltages,but also the challenging nonequilibrium Kondo efect.Moreover,the n-SCBA-ME approach is efcient for the study of shot noise.We demonstrate the application by a couple of representative examples,including particularly the nonequilibrium Kondo system. 关 键 词:量子输运方程 玻恩近似 自洽 介观系统 马尔可夫 相互作用 马尔科夫 稳定状态
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