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Transitions to the Fulde-Ferrell-Larkin-Ovchinnikov phases at low temperature in two dimensions

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  • R. Combescot
  • C. Mora

Abstract

We explore the nature of the transition to the Fulde-Ferrell-Larkin- Ovchinnikov superfluid phases in the low temperature range in two dimensions, for the simplest isotropic BCS model. This is done by applying the Larkin-Ovchinnikov approach to this second order transition. We show that there is a succession of transitions toward ever more complex order parameters when the temperature goes to zero. This gives rise to a cascade with, in principle, an infinite number of transitions. Except for one case, the order parameter at the transition is a real superposition of cosines with equal weights. The directions of these wavevectors are equally spaced angularly, with a spacing which goes to zero when the temperature goes to zero. This singular behaviour in this T=0 limit is deeply linked to the two-dimensional nature of the problem. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2005

Suggested Citation

  • R. Combescot & C. Mora, 2005. "Transitions to the Fulde-Ferrell-Larkin-Ovchinnikov phases at low temperature in two dimensions," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 44(2), pages 189-202, March.
    • Handle: RePEc:spr:eurphb:v:44:y:2005:i:2:p:189-202
    DOI: 10.1140/epjb/e2005-00114-7
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