Electron transport in a disordered Luttinger liquid

I. V. Gornyi, A. D. Mirlin, and D. G. Polyakov
Phys. Rev. B 75, 085421 – Published 13 February 2007

Abstract

We study the transport properties of interacting electrons in a disordered quantum wire within the framework of the Luttinger-liquid model. We demonstrate that the notion of weak localization is applicable to the strongly correlated one-dimensional electron system. Two alternative approaches to the problem are developed, both combining fermionic and bosonic treatment of the underlying physics. 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. Our approach provides a framework for a systematic study of mesoscopic effects in strongly correlated electron systems.

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  • Received 27 August 2006

DOI:https://doi.org/10.1103/PhysRevB.75.085421

©2007 American Physical Society

Authors & Affiliations

I. V. Gornyi1,*, A. D. Mirlin1,2,†, and D. G. Polyakov1,*

  • 1Institut für Nanotechnologie, Forschungszentrum Karlsruhe, 76021 Karlsruhe, Germany
  • 2Institut für Theorie der kondensierten Materie, Universität Karlsruhe, 76128 Karlsruhe, Germany

  • *Also at A.F. Ioffe Physico-Technical Institute, 194021 St. Petersburg, Russia.
  • Also at Petersburg Nuclear Physics Institute, 188350 St. Petersburg, Russia.

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Issue

Vol. 75, Iss. 8 — 15 February 2007

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