Semiclassical theory of the Ehrenfest-time dependence of quantum transport

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

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22 pages, 9 figures

Scientific paper

10.1103/PhysRevB.76.165313

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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