Ehrenfest-time dependence of quantum transport corrections and spectral statistics

Waltner, Daniel and Kuipers, Jack (2010) Ehrenfest-time dependence of quantum transport corrections and spectral statistics. PHYSICAL REVIEW E, 82 (6): 066205. ISSN 1539-3755,

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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 et al. [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.

Item Type: Article
Uncontrolled Keywords: LOCALIZED SCATTERERS; METALLIC CONDUCTION; SPATIAL VARIATION; PERIODIC-ORBITS; CAVITIES; CURRENTS; FIELDS;
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 06 Jul 2020 06:57
Last Modified: 06 Jul 2020 06:57
URI: https://pred.uni-regensburg.de/id/eprint/23745

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