Localization in an external electric field

Details Localization in an external electric field Localization in an external electric field

2003-09-19

arxiv.org/abs/cond-mat/0309470v1

Phys. Rev. B 69, 075119 (2004)

Physics

Condensed Matter

Statistical Mechanics

10pp, revtex4, no figs

Scientific paper

10.1103/PhysRevB.69.075119

The impact of an electric field on the electron localization problem is studied within the framework of a field-theoretic formulation. The investigation shows that the impact of the electric field on the localization corrections is governed by the interplay between two time scales, one set by the electric field, and the other by the phase relaxation rate. At very low temperatures the scaling of the conductivity is governed by the electric field. In this regime the conductivity depends logarithmically on the field, and an arbitrarily small electric field delocalizes the electron states. At higher temperatures the behavior of the conductivity is governed by the temperature scaling. In this regime the field has no impact on the observable leading localization corrections.

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