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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 (PRE) 82, 066205.Date of publication of this fulltext: 17 Sep 2010 06:53
Article
DOI to cite this document: 10.5283/epub.16643
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 ...
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.
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Details
| Item type | Article |
| Journal or Publication Title | Physical Review E (PRE) |
| Publisher: | American Physical Society |
|---|---|
| Volume: | 82 |
| Page Range: | 066205 |
| Date | 2010 |
| Institutions | Physics > Institute of Theroretical Physics > Chair Professor Richter > Group Klaus Richter |
| Dewey Decimal Classification | 500 Science > 530 Physics |
| Status | Published |
| Refereed | Yes, this version has been refereed |
| Created at the University of Regensburg | Yes |
| URN of the UB Regensburg | urn:nbn:de:bvb:355-epub-166431 |
| Item ID | 16643 |
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