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Relativistic BCS-BEC crossover in a boson-fermion model

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arxiv nucl-th/0611097 v2 pith:DUEVCAG7 submitted 2006-11-28 nucl-th cond-mat.supr-conhep-ph

Jian Deng , Andreas Schmitt , Qun Wang This is my paper · ORCID
classification nucl-thcond-mat.supr-conhep-ph
keywords crossovermodelfermionsbosonboson-fermionbosonicpairingparameter
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We investigate the crossover from Bardeen-Cooper-Schrieffer (BCS) pairing to a Bose-Einstein condensate (BEC) in a relativistic superfluid within a boson-fermion model. The model includes, besides the fermions, separate bosonic degrees of freedom, accounting for the bosonic nature of the Cooper pairs. The crossover is realized by tuning the difference between the boson mass and boson chemical potential as a free parameter. The model yields populations of condensed and uncondensed bosons as well as gapped and ungapped fermions throughout the crossover region for arbitrary temperatures. Moreover, we observe the appearance of antiparticles for sufficiently large values of the crossover parameter. As an application, we study pairing of fermions with imbalanced populations. The model can potentially be applied to color superconductivity in dense quark matter at strong couplings.

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  1. Renormalizing the Quark-Meson-Diquark Model

    hep-ph 2025-05 conditional novelty 6.0 of 10

    Renormalized and two RG-consistent versions of the Quark-Meson-Diquark model reproduce the BCS relation and Stefan-Boltzmann limit at high density, while the sigma-delta scheme violates the BCS relation.

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