title: Ehrenfest-time dependence of quantum transport corrections and spectral statistics.
abstract: The Ehrenfest-time scale in quantum transport separates essentially classical propagation from wave interference and here we consider its effect on the transmission and reflection through quantum dots. In particular, we calculate the Ehrenfest-time dependence of the next-to-leading-order quantum corrections to the transmission and reflection for dc and ac transport and check that our results are consistent with current conservation relations. Looking as well at spectral statistics in closed systems, we finally demonstrate how the contributions analyzed here imply changes in the calculation, given by Brouwer [Phys. Rev. E 74, 066208 (2006)], of the next-to-leading order of the spectral form factor. Our semiclassical result coincides with the result obtained by Tian and Larkin [Phys. Rev. B 70, 035305 (2004)] by field-theoretical methods.
authors.affiliation: Institut für Theoretische Physik, Universität Regensburg, Regensburg, Germany.
authors.forename: Daniel
authors.initials: D
authors.lastname: Waltner
authors.forename: Jack
authors.initials: J
authors.lastname: Kuipers