Electron transport in disordered Luttinger liquid

Details Electron transport in disordered Luttinger liquid Electron transport in disordered Luttinger liquid

2006-08-27

arxiv.org/abs/cond-mat/0608590v2

Phys. Rev. B75, 085421 (2007) (in a slightly shortened form)

Physics

Condensed Matter

Disordered Systems and Neural Networks

41 pages, 24 figures, small corrections, more compact

Scientific paper

10.1103/PhysRevB.75.085421

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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