Waltner, Daniel and Kuipers, Jack and Richter, Klaus (2011) Ehrenfest-time dependence of counting statistics for chaotic ballistic systems. PHYSICAL REVIEW B, 83 (19): 195315. ISSN 1098-0121,
Full text not available from this repository.Abstract
Transport properties of open chaotic ballistic systems and their statistics can be expressed in terms of the scattering matrix connecting incoming and outgoing wave functions. Here we calculate the dependence of correlation functions of arbitrarily many pairs of scattering matrices at different energies on the Ehrenfest time using trajectory-based semiclassical methods. This enables us to verify the prediction from effective random-matrix theory that one part of the correlation function obtains an exponential damping depending on the Ehrenfest time, while also allowing us to obtain the additional contribution that arises from bands of always correlated trajectories. The resulting Ehrenfest-time dependence, responsible, e. g., for secondary gaps in the density of states of Andreev billiards, can also be seen to have strong effects on other transport quantities, such as the distribution of delay times.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | LOCALIZED SCATTERERS; METALLIC CONDUCTION; WEAK-LOCALIZATION; ANDREEV BILLIARDS; SPATIAL VARIATION; PERIODIC-ORBITS; QUANTUM; CURRENTS; MATRIX; CAVITY; |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics > Chair Professor Richter > Group Klaus Richter |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 22 Jun 2020 05:09 |
| Last Modified: | 22 Jun 2020 05:09 |
| URI: | https://pred.uni-regensburg.de/id/eprint/20829 |
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