Periodicity of transport coefficients with half flux quanta in the Aharonov-Bohm effect

Dana A. Browne, The James Franck Institute
John P. Carini, The James Franck Institute
K. A. Muttalib, The James Franck Institute
Sidney R. Nagel, The James Franck Institute


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. © 1984 The American Physical Society.