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Phys. Rev. B 74, 214516 (2006) [11 pages]

Finite-temperature phase diagram of a two-component Fermi gas with density imbalance

Lianyi He, Meng Jin, and Pengfei Zhuang
Physics Department, Tsinghua University, Beijing 100084, China
Received 13 June 2006; revised 6 September 2006; published 22 December 2006

We investigated possible superfluid phases at finite temperature in a two-component Fermi gas with density imbalance. In the frame of a general four-fermion interaction theory, we solved in the BCS region the gap equations for the pairing gap and pairing momentum under the restriction of fixed number densities and analyzed the stability of different phases by calculating the superfluid density and number susceptibilities. The homogeneous superfluid is stable only at high temperature and low number asymmetry, the inhomogeneous Larkin-Ovchinnikov-Fudde-Ferrell state survives at low temperature and high number asymmetry, and in between them there exists another possible inhomogeneous phase, that of phase separation. The critical temperatures and the orders of the phase transitions among the superfluid phases and normal phase are calculated analytically and numerically. The phase diagram we obtained in the temperature and number asymmetry plane is quite different from the one in the temperature and chemical potential difference plane for a system with fixed chemical potentials.

©2006 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevB.74.214516
DOI: 10.1103/PhysRevB.74.214516
PACS: 03.75.Ss; 05.30.Fk; 74.20.Fg; 34.90.+q
  • 03.75.Ss
    Degenerate Fermi gases
  • 05.30.Fk
    Fermion systems and electron gas (quantum statistical mechanics)
  • 74.20.Fg
    BCS theory of superconductivity and its development
  • 34.90.+q
    Other topics in atomic and molecular collision processes and interactions (restricted to new topics in section 34)
  • YEAR: 2006
KEYWORDS: fermion systems, superfluidity, BCS theory, chemical potential, phase separation, phase diagrams, phase transformations

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