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Relativistic BCS-BEC crossover of a two-species Fermi gas with number density asymmetry at zero temperature

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arxiv 0812.1782 v2 pith:PR5F2Y45 submitted 2008-12-09 hep-ph cond-mat.other

Relativistic BCS-BEC crossover of a two-species Fermi gas with number density asymmetry at zero temperature

classification hep-ph cond-mat.other
keywords crossoverasymmetryphaserelativisticattractivebcs-becdensitynonrelativistic
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We systematically study relativistic two-species fermions with tunable attractive interactions and number-density asymmetry at zero temperature. In general, a Bardeen-Cooper-Schrieffer (BCS) - Bose-Einstein Condensation (BEC) - relativistic BEC (RBEC) crossover is observed. A generalized BCS ground state and its stability are analyzed. The homogeneous superfluid phase can become unstable and we consider phase separation in real space for neutral systems. In the nonrelativistic limit, our results are consistent with well-known results. In addition to a BCS-BEC crossover similar to that in the nonrelativistic case, in the strongly attractive regime gapless excitations of antifermions and a RBEC state are observed. We address how different phases respond to number density asymmetry and present predictive phase diagrams of BCS-BEC-RBEC crossover.

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