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

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

2004-05-03

arxiv.org/abs/cond-mat/0405028v1

Eur.P.J.B 44, 189 (2005)

Physics

Condensed Matter

Superconductivity

18 pages, 6 figures

Scientific paper

10.1140/epjb/e2005-00114-7

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.

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