Mixtures of ultracold fermions with unequal masses

Details Mixtures of ultracold fermions with unequal masses Mixtures of ultracold fermions with unequal masses

2007-03-12

arxiv.org/abs/cond-mat/0703258v1

Phys. Rev. A 76, 013601 (2007)

Physics

Condensed Matter

Superconductivity

14 pages, 9 figures. Extended version of cond-mat/0606624

Scientific paper

10.1103/PhysRevA.76.013601

We analyze the phase diagram of superfluidity for two-species fermion mixtures from the Bardeen-Cooper-Schrieffer (BCS) to Bose-Einstein condensation (BEC) limit as a function of scattering parameter, population imbalance and mass anisotropy. We identify regions corresponding to normal, or uniform/non-uniform superfluid phases, and discuss topological quantum phase transitions in the BCS, unitarity and BEC limits. We derive the Ginzburg-Landau equation near the critical temperature, and show that it describes a dilute mixture of paired and unpaired fermions in the BEC limit. We also obtain the zero temperature low frequency and long wavelength collective excitation spectrum, and recover the Bogoliubov relation for weakly interacting dilute bosons in the BEC limit. Lastly, we discuss the effects of harmonic traps and the resulting density profiles in the BEC regime.

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