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Transport through open quantum dots: Making semiclassics quantitative

机译：通过开放的量子点传输：使半经典定量

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摘要

We investigate electron transport through clean open quantum dots (quantum billiards). We present a semi-classical 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.
机译：我们研究通过干净的开放量子点（量子台球）的电子传输。我们提出了一种半经典理论，可以精确地再现量子传输计算。对于散射矩阵的各个能量相关元素和磁场相关元素达成了定量协议。两个关键要素必不可少：( :)包含伪路径，这些伪路径除了经典路径外，还具有由衍射产生的链接的经典路径的拓扑结构；（ⅱ）衍射散射的高级近似。在伪路径半经典逼近（PSCA）的框架内，克服了半经典理论的典型缺点，例如违反了反射和透射之间的反相关性以及对电导波动的过高估计。除了其预测能力外，PSCA还提供了对量子到经典交叉的更深刻的见解。

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