Condensed Matter Physics Seminar
Friday, March 19, 1999, 2 p.m.
Plant Sciences Building, Room 1130
Localization by interference: Square with a magnetic flux
(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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