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Springer series in solid-state sciences

Quantum Transport Framework for Highly Correlated Electrons

Yu. P. Monarkha, Kimitoshi Kōno

Published Jan 1, 2004• 1 citation
Publisher
DOI
10.1007/978-3-662-10639-6_3

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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.
In the framework of the Hubbard model, it is shown that approximate dynamic localization for strongly correlated electrons hopping on a one-dimensional lattice and driven by a high-frequency sinusoidal field can be realized provided that periodic π phase slips are impressed into the sinusoidal field. A possible experimental demonstration of the proposed driving scheme is presented for a photonic model system of the two-particle Hubbard model, based on light transport in a square waveguide lattice with a sinusoidally curved optical axis.