Waltner, Daniel and Kuipers, Jack (2010) Ehrenfest-time dependence of quantum transport corrections and spectral statistics. Physical Review E (PRE) 82, 066205.
Other URL: http://arxiv.org/abs/1006.0142
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 closed systems, we finally demonstrate how the contributions analyzed here imply changes in the calculation given in [P. W. Brouwer, S. Rahav and C. Tian, 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 in [C. Tian and A. I. Larkin, Phys. Rev. B, 70, 035305 (2004)] by field-theoretical methods.
|Institutions:||Physics > Institute of Theroretical Physics > Chair Professor Richter > Group Klaus Richter|
|Subjects:||500 Science > 530 Physics|
|Refereed:||Yes, this version has been refereed|
|Created at the University of Regensburg:||Yes|
|Deposited On:||17 Sep 2010 06:53|
|Last Modified:||20 Jul 2011 22:36|