Berkolaiko, Gregory and Kuipers, Jack (2012) Universality in chaotic quantum transport: The concordance between random-matrix and semiclassical theories. PHYSICAL REVIEW E, 85 (4): 045201. ISSN 1539-3755,
Full text not available from this repository.Abstract
Electronic transport through chaotic quantum dots exhibits universal, system-independent properties, consistent with random-matrix theory. The quantum transport can also be rooted, via the semiclassical approximation, in sums over the classical scattering trajectories. Correlations between such trajectories can be organized diagrammatically and have been shown to yield universal answers for some observables. Here, we develop the general combinatorial treatment of the semiclassical diagrams, through a connection to factorizations of permutations. We show agreement between the semiclassical and random matrix approaches to the moments of the transmission eigenvalues. The result is valid for all moments to all orders of the expansion in inverse channel number for all three main symmetry classes (with and without time-reversal symmetry and spin-orbit interaction) and extends to nonlinear statistics. This finally explains the applicability of random-matrix theory to chaotic quantum transport in terms of the underlying dynamics as well as providing semiclassical access to the probability density of the transmission eigenvalues.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | PERIODIC-ORBITS; LOCALIZED SCATTERERS; INTEGRABLE BILLIARDS; METALLIC CONDUCTION; SPECTRAL STATISTICS; SPATIAL VARIATION; UNITARY-GROUP; CAVITIES; CURRENTS; FIELDS; |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics Physics > Institute of Theroretical Physics > Alumni or Retired Professors > Group Tobias Kramer Physics > Institute of Theroretical Physics > Alumni or Retired Professors |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 15 May 2020 07:26 |
| Last Modified: | 15 May 2020 07:26 |
| URI: | https://pred.uni-regensburg.de/id/eprint/18870 |
Actions (login required)
 |
View Item |
