English

Electron transport in disordered Luttinger liquid

Disordered Systems and Neural Networks 2007-05-23 v2 Strongly Correlated Electrons

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.

Keywords

Cite

@article{arxiv.cond-mat/0608590,
  title  = {Electron transport in disordered Luttinger liquid},
  author = {I. V. Gornyi and A. D. Mirlin and D. G. Polyakov},
  journal= {arXiv preprint arXiv:cond-mat/0608590},
  year   = {2007}
}

Comments

41 pages, 24 figures, small corrections, more compact

R2 v1 2026-07-22T11:36:21.228Z