Relativistic BCS-BEC Crossover at Finite Temperature and Its Application to Color Superconductivity

Abstract

The non-relativistic $G_{0}G$ formalism of BCS-BEC crossover at finite temperature is extended to relativistic fermion systems. The uncondensed pairs contribute a pseudogap to the fermion excitations. The theory recovers the BCS mean field approximation at zero temperature and the non-relativistic results in a proper limit. For massive fermions, when the coupling strength increases, there exist two crossovers from the weak coupling BCS superfluid to the non-relativistic BEC state and then to the relativistic BEC state. For color superconductivity at moderate baryon density, the matter is in the BCS-BEC crossover region, and the behavior of the pseudogap is quite similar to that found in high temperature superconductors.

13 pages, 7 figures. V2: comparision with other theories and new results on color superconductivity are added. V3: version published in PRD

References in corpus (5)

• Vortices and Superfluidity in a Strongly Interacting Fermi Gas
• Two lectures on color superconductivity
• BEC-BCS Crossover in the Nambu--Jona-Lasinio Model of QCD
• BCS-BEC crossover at finite temperature in the broken-symmetry phase
• Relativistic BCS-BEC Crossover at Zero Temperature

Cited by in corpus (4)

• Bound diquarks and their Bose-Einstein condensation in strongly coupled quark matter
• BCS-BEC crossover in dense relativistic matter: Collective excitations
• BCS-BEC crossover in a relativistic boson-fermion model beyond mean field approximation
• Possible crossover from BCS superconductivity to Bose-Einstein condensate in quark matter