Condensed Matter Physics Seminar

Friday, March 19, 1999, 2 p.m.
Plant Sciences Building, Room 1130

Localization by interference: Square with a magnetic flux

Romanas Narevich

(University of Maryland)

Abstract:  We calculate eigenstates and energy levels of a square quantum billiard in a magnetic field or with an Aharonov-Bohm flux line in quasiclassical approximation, that is, for high enough energy. Explicit formulas for the energy levels and wavefunctions are found. There are localized states, never before noticed in this well-studied problem, whose localization is due to phase interference, even though there is no or negligible classical effect of the magnetic field. These and related states account almost entirely for the magnetic response in certain temperature ranges, and thus have a bearing on the experiments of Levy (L. P. Levy, D. H. Reich, L. Pfeiffer, and K. West, Physica B 189, 204 (1993)).

Host: Richard Prange

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