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

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

2006-03-07

arxiv.org/abs/cond-mat/0603176v2

Phys. Rev. Lett 97, 076401 (2006)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages, 2 EPS figures; v2: improved figure for phase diagram, added discussion, corrected typos

Scientific paper

10.1103/PhysRevLett.97.076401

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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