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Dephasing and weak localization in disordered Luttinger liquid

I. V. Gornyi·A. D. Mirlin·D. G. Polyakov
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Abstract

We study the transport properties of interacting electrons in a disordered quantum wire within the framework of the Luttinger liquid model. The conductivity at finite temperature is nonzero only because of inelastic electron-electron scattering. We demonstrate that the notion of weak localization is applicable to the strongly correlated one-dimensional electron system. We calculate the relevant dephasing rate, which for spinless electrons is governed by the interplay of electron-electron interaction and disorder, thus vanishing in the clean limit.

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I. V. Gornyi, A. D. Mirlin, D. G. Polyakov. 2005-04-12. Dephasing and weak localization in disordered Luttinger liquid. https://doi.org/10.1103/physrevlett.95.046404

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