Boson-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 random-phase approximation variant of the Nozi\`eres-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.Boson-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 random-phase approximation variant of the Nozi\`eres-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.

arXiv:1307.1147Physical Review AAug 19, 201316 citations

Violation of Luttinger's theorem in a one-dimensional system of interacting fermions

Meng Gao, Yin Zhong

Physical review. B./Physical review. BSep 10, 20251 citation

The Fermi Liquid and the Luttinger Model

Princeton University Press eBooksNov 10, 20200 citations

Boson-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 random-phase approximation variant of the Nozi\`eres-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.