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arXiv · 0706.1487

Semiclassical theory of the Ehrenfest-time dependence of quantum transport

Piet W. Brouwer
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Abstract

In ballistic conductors, there is a low-time threshold for the appearance of quantum effects in transport coefficients. This low-time threshold is the Ehrenfest time. Most previous studies of the Ehrenfest-time dependence of quantum transport assumed ergodic electron dynamics, so that they could be applied to ballistic quantum dots only. In this article we present a theory of the Ehrenfest-time dependence of three signatures of quantum transport - the Fano factor for the shot noise power, the weak localization correction to the conductance, and the conductance fluctuations - for arbitrary ballistic conductors.

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Piet W. Brouwer. 2007-06-11. Semiclassical theory of the Ehrenfest-time dependence of quantum transport. https://doi.org/10.1103/physrevb.76.165313

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