Periodicity of transport coefficients with half flux quanta in the Aharonov-Bohm effect
- 1 December 1984
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 30 (11) , 6798-6800
- https://doi.org/10.1103/physrevb.30.6798
Abstract
We prove that all transport coefficients of a dirty normal metal in the Aharonov-Bohm geometry are exactly periodic with a period of a half flux quantum. This special periodicity appears only after performing the ensemble average over a symmetric distribution of random potentials. This result indicates how to improve numerical studies of localization by selectively averaging over the ensemble in such a manner as to preserve the special symmetries of the Hamiltonian.Keywords
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