{ "id": "cond-mat/9707087", "version": "v2", "published": "1997-07-09T13:07:16.000Z", "updated": "2000-02-05T05:22:22.000Z", "title": "h/2e oscillations and quantum chaos in ballistic Aharonov-Bohm billiards", "authors": [ "Shiro Kawabata", "Katsuhiro Nakamura" ], "comment": "RevTeX, 6 pages, 5 figures", "journal": "Phys. Rev. B 57 (1998) 6282", "doi": "10.1103/PhysRevB.57.6282", "categories": [ "cond-mat.mes-hall", "nlin.CD" ], "abstract": "We study the quantum interference effect for the single ballistic Aharonov-Bohm billiard in the presence of a weak magnetic field B. The diagonal part of the wave-number averaged reflection coefficient $\\delta {\\cal R}_D$ is calculated by use of semi-classical scattering theory. In addition to the appearance of \"h/2e oscillation\" that are caused by interference between time-reversed coherent backscattering classical trajectories, B in the conducting region leads to negative magnetoresistance and dampening of the h/2e oscillation amplitude. The B dependence of the results reflects the underlying classical (chaotic and regular) dynamics.", "revisions": [ { "version": "v2", "updated": "2000-02-05T05:22:22.000Z" } ], "analyses": { "keywords": [ "quantum chaos", "coherent backscattering classical trajectories", "single ballistic aharonov-bohm billiard", "quantum interference effect", "wave-number averaged reflection coefficient" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. B" }, "note": { "typesetting": "RevTeX", "pages": 6, "language": "en", "license": "arXiv", "status": "editable" } } }