{ "id": "cond-mat/0311283", "version": "v2", "published": "2003-11-12T16:22:00.000Z", "updated": "2004-01-15T16:42:07.000Z", "title": "Quantum-to-classical crossover of mesoscopic conductance fluctuations", "authors": [ "J. Tworzydlo", "A. Tajic", "C. W. J. Beenakker" ], "comment": "5 pages, 5 figures: one figure added, references updated", "journal": "Phys. Rev. B 69, 165318 (2004)", "doi": "10.1103/PhysRevB.69.165318", "categories": [ "cond-mat.mes-hall" ], "abstract": "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 $\\tau_D \\propto M/N$. 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.", "revisions": [ { "version": "v2", "updated": "2004-01-15T16:42:07.000Z" } ], "analyses": { "keywords": [ "mesoscopic conductance fluctuations", "quantum-to-classical crossover", "mean squared conductance fluctuations reach", "universal quantum fluctuations dominate", "ballistic quantum dot" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. B" }, "note": { "typesetting": "TeX", "pages": 5, "language": "en", "license": "arXiv", "status": "editable" } } }