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 ${\ensuremath{\tau}}_{E}$. Most previous studies of the ${\ensuremath{\tau}}_{E}$ dependence of quantum transport assumed ergodic electron dynamics, so that they could be applied to ballistic quantum dots only. In this paper, we present a theory of the ${\ensuremath{\tau}}_{E}$ 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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