Absence of localization in a disordered one-dimensional ring threaded by an Aharonov-Bohm flux

Details Absence of localization in a disordered one-dimensional ring threaded by an Aharonov-Bohm flux Absence of localization in a disordered one-dimensional ring threaded by an Aharonov-Bohm flux

2009-07-03

arxiv.org/abs/0907.0639v1

J. Phys.: Condensed Matter 21 (2009) 295701 (3pp)

Physics

Condensed Matter

Disordered Systems and Neural Networks

Scientific paper

Absence of localization is demonstrated analytically to leading order in weak disorder in a one-dimensional Anderson model of a ring threaded by an Aharonov-Bohm (A-B) flux. The result follows from adapting an earlier perturbation treatment of disorder in a superconducting ring subjected to an imaginary vector potential proportional to a depinning field for flux lines bound to random columnar defects parallel to the axis of the ring. The absence of localization in the ring threaded by an A-B flux for sufficiently weak disorder is compatible with large free electron type persistent current obtained in recent studies of the above model.

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