Eletric field induced localization and nonperturbative response of a one-dimensional one-band conductor

Abstract

We consider the nonperturbative nonstationary response of a one dimensional conductor and the carrier localization induced by an external electric field within the one-electron one-band tight-binding approximation in the absence of relaxation. Exact general analytic expressions for the polarization, electric current, and carrier mean square displacement are obtained. We find a new effect of absence of induced polarization in an arbitrary electric field for an electron, initially localized on one site. If the electron wavevector change Δ k during one period of the field is a multiple of 2π, the electron is typically delocalized except for the localization in Bloch states at the extremums of the band and the generalized dynamic localization. If Δ k/2π is noninteger, the electron is localized.