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Dissipation-driven quantum phase transitions in a Tomonaga-Luttinger liquid electrostatically coupled to a metallic gate

2006/03/31 by M. A. Cazalilla, F. Sols, F. Guinea · 1 citation
Physics and Astronomy · #cond-mat.mes-hall #cond-mat.str-el

paper · pdf · doi:10.1103/physrevlett.97.076401

published as Phys. Rev. Lett 97, 076401 (2006) · 5 pages, 2 EPS figures; v2: improved figure for phase diagram, added discussion, corrected typos

arxiv created 2006/05/18 · arxiv updated 2009/12/01

Abstract

The dissipation induced by a metallic gate on the low-energy properties of interacting 1D electron liquids is studied. As function of the distance to the gate, or the electron density in the wire, the system undergoes a quantum phase transition from the Tomonaga-Luttinger liquid state to two kinds of dissipative phases, one of them with a finite spatial correlation length. We also define a dual model, which describes an attractive one dimensional metal with a Josephson coupling to a dirty metallic lead.

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