Boson-fermion pairing and condensation in two-dimensional Bose-Fermi mixtures

We consider a mixture of bosons and spin-polarized fermions in two dimensions at zero temperature with a tunable Bose-Fermi attraction. By adopting a diagrammatic $T$-matrix approach, we analyze the behavior of several thermodynamic quantities for the two species as a function of the density ratio a...

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Main Author: Leonardo Pisani, Pietro Bovini, Fabrizio Pavan, Pierbiagio Pieri
Format: Article
Language:English
Published: SciPost 2025-03-01
Series:SciPost Physics
Online Access:https://scipost.org/SciPostPhys.18.3.076
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author Leonardo Pisani, Pietro Bovini, Fabrizio Pavan, Pierbiagio Pieri
author_facet Leonardo Pisani, Pietro Bovini, Fabrizio Pavan, Pierbiagio Pieri
author_sort Leonardo Pisani, Pietro Bovini, Fabrizio Pavan, Pierbiagio Pieri
collection DOAJ
description We consider a mixture of bosons and spin-polarized fermions in two dimensions at zero temperature with a tunable Bose-Fermi attraction. By adopting a diagrammatic $T$-matrix approach, we analyze the behavior of several thermodynamic quantities for the two species as a function of the density ratio and coupling strength, including the chemical potentials, the momentum distribution functions, the boson condensate density, and the Tan's contact parameter. By increasing the Bose-Fermi attraction, we find that the condensate is progressively depleted and Bose-Fermi pairs form, with a small fraction of condensed bosons surviving even for strong Bose-Fermi attraction. This small condensate proves sufficient to hybridize molecular and atomic states, producing quasi-particles with unusual Fermi liquid features. A nearly universal behavior of the condensate fraction, the bosonic momentum distribution, and Tan's contact parameter with respect to the density ratio is also found.
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spelling doaj-art-99c92d9bc64e4c3eb89f62ec14c6e5402025-08-20T02:17:47ZengSciPostSciPost Physics2542-46532025-03-0118307610.21468/SciPostPhys.18.3.076Boson-fermion pairing and condensation in two-dimensional Bose-Fermi mixturesLeonardo Pisani, Pietro Bovini, Fabrizio Pavan, Pierbiagio PieriWe consider a mixture of bosons and spin-polarized fermions in two dimensions at zero temperature with a tunable Bose-Fermi attraction. By adopting a diagrammatic $T$-matrix approach, we analyze the behavior of several thermodynamic quantities for the two species as a function of the density ratio and coupling strength, including the chemical potentials, the momentum distribution functions, the boson condensate density, and the Tan's contact parameter. By increasing the Bose-Fermi attraction, we find that the condensate is progressively depleted and Bose-Fermi pairs form, with a small fraction of condensed bosons surviving even for strong Bose-Fermi attraction. This small condensate proves sufficient to hybridize molecular and atomic states, producing quasi-particles with unusual Fermi liquid features. A nearly universal behavior of the condensate fraction, the bosonic momentum distribution, and Tan's contact parameter with respect to the density ratio is also found.https://scipost.org/SciPostPhys.18.3.076
spellingShingle Leonardo Pisani, Pietro Bovini, Fabrizio Pavan, Pierbiagio Pieri
Boson-fermion pairing and condensation in two-dimensional Bose-Fermi mixtures
SciPost Physics
title Boson-fermion pairing and condensation in two-dimensional Bose-Fermi mixtures
title_full Boson-fermion pairing and condensation in two-dimensional Bose-Fermi mixtures
title_fullStr Boson-fermion pairing and condensation in two-dimensional Bose-Fermi mixtures
title_full_unstemmed Boson-fermion pairing and condensation in two-dimensional Bose-Fermi mixtures
title_short Boson-fermion pairing and condensation in two-dimensional Bose-Fermi mixtures
title_sort boson fermion pairing and condensation in two dimensional bose fermi mixtures
url https://scipost.org/SciPostPhys.18.3.076
work_keys_str_mv AT leonardopisanipietrobovinifabriziopavanpierbiagiopieri bosonfermionpairingandcondensationintwodimensionalbosefermimixtures