Properties of a Fermi liquid at the superfluid transition in the crossover region between BCS superconductivity and Bose-Einstein condensation.

摘要: The self-consistent equations, which have been derived recently as a microscopic model for the crossover between BCS superconductivity and Bose-Einstein condensation in three-dimensional interacting Fermi system [R. Haussmann, Z. Phys. B 91, 291 (1993)], are solved numerically by repeated Fourier transformation. We find superfluid transition temperature ${\mathit{T}}_{\mathit{c}}$ increases monotonically with increasing attractive coupling strength. Furthermore, we determine chemical potential \ensuremath{\mu}, fermion distribution function n(k), complex effective mass 2${\mathit{m}}^{\mathrm{*}}$ of pairs at T=${\mathit{T}}_{\mathit{c}}$. bound cause power-law tail \ensuremath{\sim}${\mathit{k}}^{\mathrm{\ensuremath{-}}4}$ n(k) large k behave short-living quasiparticles region, is indicated imaginary part 2${\mathit{m}}^{\mathrm{*}}$.