Transport through open quantum dots: making semiclassics quantitative

Transport through open quantum dots: making semiclassics quantitative
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通过开放量子点的传输:使半经典定量

DOI:
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发表时间:
2009
期刊:
影响因子:
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通讯作者:
J. Burgdorfer
J. Burgdorfer
中科院分区:
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文献类型:
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作者:
I. Březinová;L. Wirtz;S. Rotter;C. Stampfer;J. Burgdorfer

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我们研究电子通过干净的开放量子点(量子台球)的传输。我们提出了一个半经典理论,可以准确地再现量子输运计算。定量协议达成个别能量依赖和磁场依赖元素的散射矩阵。两个关键成分是必不可少的:(i)包括伪路径,其具有除了经典路径之外由衍射产生的链接经典路径的拓扑结构;以及(ii)对衍射散射的高级近似。在这个框架内的伪路径半经典近似(PSCA),半经典理论的典型缺点,如违反的反射和透射之间的关系和高估的电导波动。除了其预测能力,PSCA还提供了对量子到经典交叉的更深入的见解。
We investigate electron transport through clean open quantum dots (quantum billiards). We present a semiclassical theory that allows to accurately reproduce quantum-transport calculations. Quantitative agreement is reached for individual energy-dependent and magnetic field dependent elements of the scattering matrix. Two key ingredients are essential: (i) inclusion of pseudopaths which have the topology of linked classical paths resulting from diffraction in addition to classical paths and (ii) a high-level approximation to diffractive scattering. Within this framework of the pseudopath semiclassical approximation (PSCA), typical shortcomings of semiclassical theories such as violation of the anticorrelation between reflection and transmission and the overestimation of conductance fluctuations are overcome. Beyond its predictive capabilities the PSCA provides deeper insights into the quantum-to-classical crossover.
混沌导体的半经典理论
DOI: 10.1103/physrevlett.96.066804
发表时间: 2006
影响因子: 8.6
作者:
S. Heusler;S. Müller;P. Braun;F. Haake
通讯作者: F. Haake
DOI: 10.1103/physrevb.75.073304
发表时间: 2007-01
期刊: Physical Review B
影响因子: 3.7
作者:
M. Novaes
通讯作者: M. Novaes