Scientific article
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Phase Transitions for a Collective Coordinate Coupled to Luttinger Liquids

Published inPhysical review letters, vol. 111, no. 11, 115302
Publication date2013
Abstract

We study various realizations of collective coordinates, e.g., the position of a particle, the charge of a Coulomb box, or the phase of a Bose or a superconducting condensate, coupled to Luttinger liquids with N flavors. We find that for a Luttinger parameter (1/2) < K < 1 there is a phase transition from a delocalized phase into a phase with a periodic potential at strong coupling. In the delocalized phase the dynamics is dominated by an effective mass, i.e., diffusive in imaginary time, while on the transition line it becomes dissipative. At K = (1/2) there is an additional transition into a localized phase with no diffusion at zero temperature.

Research groups
Funding
  • Swiss National Science Foundation - Division II
Citation (ISO format)
HOROVITZ, Baruch, GIAMARCHI, Thierry, LE DOUSSAL, Pierre. Phase Transitions for a Collective Coordinate Coupled to Luttinger Liquids. In: Physical review letters, 2013, vol. 111, n° 11, p. 115302. doi: 10.1103/PhysRevLett.111.115302
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Journal ISSN0031-9007
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Creation07/04/2014 14:36:00
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