Renormalization theory for the Fulde-Ferrell-Larkin-Ovchinnikov states at T>0

Renormalization theory for the Fulde-Ferrell-Larkin-Ovchinnikov states at T>0 Within the renormalization-group framework we study the stability of superfluid density wave states, known as Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) phases, with respect to thermal order-parameter fluctuations in two- and three-dimensional (d∈{2,3}) systems. We analyze the renormalization-group flow of the relevant ordering wave vector Q0⃗. The calculation indicates an instability of the FFLO-type states towards either a uniform superfluid or the normal state in d∈{2,3} and T>0. In d=2 this is signaled by Q0⃗ being renormalized towards zero, corresponding to the flow being attracted either to the usual Kosterlitz-Thouless fixed point or to the normal phase. We supplement a solution of the RG flow equations by a simple scaling argument, supporting the generality of the result. The tendency to reduce the magnitude of Q0⃗ by thermal fluctuations persists in d=3, where the very presence of long-range order is immune to thermal fluctuations, but the effect of attracting Q0⃗ towards zero by the flow remains observed at T>0. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review A American Physical Society (APS)

Renormalization theory for the Fulde-Ferrell-Larkin-Ovchinnikov states at T>0

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Renormalization theory for the Fulde-Ferrell-Larkin-Ovchinnikov states at T>0

Abstract

Within the renormalization-group framework we study the stability of superfluid density wave states, known as Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) phases, with respect to thermal order-parameter fluctuations in two- and three-dimensional (d∈{2,3}) systems. We analyze the renormalization-group flow of the relevant ordering wave vector Q0⃗. The calculation indicates an instability of the FFLO-type states towards either a uniform superfluid or the normal state in d∈{2,3} and T>0. In d=2 this is signaled by Q0⃗ being renormalized towards zero, corresponding to the flow being attracted either to the usual Kosterlitz-Thouless fixed point or to the normal phase. We supplement a solution of the RG flow equations by a simple scaling argument, supporting the generality of the result. The tendency to reduce the magnitude of Q0⃗ by thermal fluctuations persists in d=3, where the very presence of long-range order is immune to thermal fluctuations, but the effect of attracting Q0⃗ towards zero by the flow remains observed at T>0.
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Publisher
The American Physical Society
Copyright
Copyright © ©2017 American Physical Society
ISSN
1050-2947
eISSN
1094-1622
D.O.I.
10.1103/PhysRevA.95.063626
Publisher site
See Article on Publisher Site

Abstract

Within the renormalization-group framework we study the stability of superfluid density wave states, known as Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) phases, with respect to thermal order-parameter fluctuations in two- and three-dimensional (d∈{2,3}) systems. We analyze the renormalization-group flow of the relevant ordering wave vector Q0⃗. The calculation indicates an instability of the FFLO-type states towards either a uniform superfluid or the normal state in d∈{2,3} and T>0. In d=2 this is signaled by Q0⃗ being renormalized towards zero, corresponding to the flow being attracted either to the usual Kosterlitz-Thouless fixed point or to the normal phase. We supplement a solution of the RG flow equations by a simple scaling argument, supporting the generality of the result. The tendency to reduce the magnitude of Q0⃗ by thermal fluctuations persists in d=3, where the very presence of long-range order is immune to thermal fluctuations, but the effect of attracting Q0⃗ towards zero by the flow remains observed at T>0.

Journal

Physical Review AAmerican Physical Society (APS)

Published: Jun 29, 2017

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