A semiclassical theory of the Ehrenfest-time dependence of quantum transport in ballistic quantum dots
arXiv:cond-mat/0512095 · doi:10.1103/PhysRevB.74.075322
Abstract
We present a trajectory-based semiclassical calculation of the Ehrenfest-time dependence of the weak localization correction and the universal conductance fluctuations of a ballistic quantum dot with ideal point contacts. While the weak localization correction is proportional to exp(-tau_E/tau_D), where tau_E and tau_D are the dot's Ehrenfest time and dwell time, respectively, the variance of the conductance is found to be independent of tau_E. The latter is in agreement with numerical simulations of the quantum kicked rotator [Tworzydlo et al., Phys. Rev. B 69, 165318 (2004) and Jacquod and Sukhorukov, Phys. Rev. Lett. 92, 116801 (2004)].
14 pages, 9 figures; Substantially revised manuscript, correcting mistakes in earlier versions
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