2006/08/31 by I. V. Gornyi, A. D. Mirlin, D. G. Polyakov · 6 citations
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum many-body systems #cond-mat.dis-nn #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.75.085421
published as Phys. Rev. B75, 085421 (2007) (in a slightly shortened form) · 41 pages, 24 figures, small corrections, more compact
arxiv created 2007/01/03 · openalex publication_date 2007/02/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.