Properties of a Fermi liquid at the superfluid transition in the crossover region between BCS superconductivity and Bose-Einstein condensation
R. Haussmann
DOI 10.1103/PhysRevB.49.12975 · Physical Review B
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Abstract
The self-consistent equations, which have been derived recently as a microscopic model for the crossover between BCS superconductivity and Bose-Einstein condensation in a three-dimensional interacting Fermi system [R. Haussmann, Z. Phys. B 91, 291 (1993)], are solved numerically by repeated Fourier transformation. We find a superfluid transition temperature Tc which increases monotonically with increasing attractive coupling strength. Furthermore, we determine the chemical potential μ, the fermion distribution function n(k), and the complex effective mass 2m* of the fermion pairs at T=Tc. The bound fermion pairs cause a power-law tail ∼k−4 in n(k) for large k and behave as short-living quasiparticles in the crossover region, which is indicated by a large imaginary part of 2m*.
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