Evolution from BCS to BKT superfluidity in one-dimensional optical lattices

Details Evolution from BCS to BKT superfluidity in one-dimensional optical lattices Evolution from BCS to BKT superfluidity in one-dimensional optical lattices

2008-03-10

arxiv.org/abs/0803.1498v1

A similar version is published in Phys. Rev. Lett. 103, 165301 (2009)

Physics

Condensed Matter

Superconductivity

4 pages with 2 figures

Scientific paper

We analyze the finite temperature phase diagram of fermion mixtures in one-dimensional optical lattices as a function of interaction strength. At low temperatures, the system evolves from an anisotropic three-dimensional Bardeen-Cooper-Schrieffer (BCS) superfluid to an effectively two-dimensional Berezinskii-Kosterlitz-Thouless (BKT) superfluid as the interaction strength increases. We calculate the critical temperature as a function of interaction strength, and identify the region where the dimensional crossover occurs for a specified optical lattice potential. Finally, we show that the dominant vortex excitations near the critical temperature evolve from multiplane elliptical vortex loops in the three-dimensional regime to planar vortex-antivortex pairs in the two-dimensional regime, and we propose a detection scheme for these excitations.

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