Quantum-to-classical crossover of mesoscopic conductance fluctuations
| dc.creator | Tworzydlo, J. | |
| dc.creator | Tajic, A. | |
| dc.creator | Beenakker, C. W. J. | |
| dc.date | 2003-11-12 | |
| dc.date | 2004-01-15 | |
| dc.date.accessioned | 2026-07-07T02:54:43Z | |
| dc.date.available | 2026-07-07T02:54:43Z | |
| dc.description | We calculate the system-size-over-wave-length ($M$) dependence of sample-to-sample conductance fluctuations, using the open kicked rotator to model chaotic scattering in a ballistic quantum dot coupled by two $N$-mode point contacts to electron reservoirs. Both a fully quantum mechanical and a semiclassical calculation are presented, and found to be in good agreement. The mean squared conductance fluctuations reach the universal quantum limit of random-matrix-theory for small systems. For large systems they increase $\propto M^2$ at fixed mean dwell time $τ_D \propto M/N$. The universal quantum fluctuations dominate over the nonuniversal classical fluctuations if $N < \sqrt{M}$. When expressed as a ratio of time scales, the quantum-to-classical crossover is governed by the ratio of Ehrenfest time and ergodic time. | |
| dc.description | 5 pages, 5 figures: one figure added, references updated | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0311283 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0311283 | |
| dc.identifier | Phys. Rev. B 69, 165318 (2004) | |
| dc.identifier | doi:10.1103/PhysRevB.69.165318 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/22671 | |
| dc.subject | Mesoscale and Nanoscale Physics | |
| dc.title | Quantum-to-classical crossover of mesoscopic conductance fluctuations | |
| dc.type | text |