Bose-Fermi Pairs in a Mixture and the Luttinger Theorem within a Nozieres-Schmitt-Rink like Approach

Abstract

Bose-Fermion pair correlations in a mixture are considered at zero temperature in the T-matrix approximation. Special attention is paid to the Luttinger theorem. In a strict RPA variant of the Nozieres-Schmitt-Rink approach, it is shown that this theorem is respected also in the homogeneous infinite matter case. We calculate the corresponding occupation numbers of fermions and bosons and the condensate depletion. We also show that in the limit of very small boson density, our results are in good agreement with the results found in the literature for the Fermi polaron in strongly imbalanced Fermi-Fermi mixtures.

9 pages

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Cited by in corpus (13)

• Field-theoretical study of the Bose polaron
• Induced interactions in a superfluid Bose-Fermi mixture
• Equation of Motion Method to strongly correlated Fermi systems and Extended RPA approaches
• Condensed phase of Bose-Fermi mixtures with a pairing interaction
• Bose-Fermi mixtures in the molecular limit
• Occupation numbers in strongly polarized Fermi gases and the Luttinger theorem
• Second root of dilute Bose-Fermi mixtures
• Boson-fermion pairing and condensation in two-dimensional Bose-Fermi mixtures
• Bose-Einstein condensation and density collapse in a weakly coupled boson-fermion mixture
• Effective p-wave Fermi-Fermi Interaction Induced by Bosonic Superfluids
• Energy of strongly attractive Bose-Fermi mixtures
• Mechanical stability of resonant Bose-Fermi mixtures
• Number conservation in odd-particle number random phase approximation and extensions