Electron transport in a disordered Luttinger liquid

by: IV Gornyi, AD Mirlin, DG Polyakov

Physical Review B (Condensed Matter and Materials Physics), Vol. 75, No. 8. (2007)

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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. 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.

@article{citeulike:1109791, 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.}, author = {Gornyi, I. V. and Mirlin, A. D. and Polyakov, D. G. }, citeulike-article-id = {1109791}, doi = {http://dx.doi.org/10.1103/PhysRevB.75.085421}, journal = {Physical Review B (Condensed Matter and Materials Physics)}, keywords = {disorder, luttinger-liquid, strong-correlation}, number = {8}, posted-at = {2007-02-16 14:46:25}, priority = {2}, publisher = {APS}, title = {Electron transport in a disordered Luttinger liquid}, url = {http://dx.doi.org/10.1103/PhysRevB.75.085421}, volume = {75}, year = {2007} }

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TY - JOUR ID - citeulike:1109791 L3 - citeulike-article-id:1109791 TI - Electron transport in a disordered Luttinger liquid JF - Physical Review B (Condensed Matter and Materials Physics) VL - 75 IS - 8 PB - APS N2 - 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. KW - disorder KW - luttinger-liquid KW - strong-correlation AU - Gornyi, IV AU - Mirlin, AD AU - Polyakov, DG PY - 2007/// UR - http://dx.doi.org/10.1103/PhysRevB.75.085421 ER -

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