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Boson-fermion pairing and condensation in two-dimensional Bose-Fermi mixtures
by Leonardo Pisani, Pietro Bovini, Fabrizio Pavan, Pierbiagio Pieri
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Submission summary
| Authors (as registered SciPost users): | Pietro Bovini · Fabrizio Pavan · Pierbiagio Pieri · Leonardo Pisani |
| Submission information | |
|---|---|
| Preprint Link: | https://arxiv.org/abs/2405.05029v3 (pdf) |
| Data repository: | https://zenodo.org/records/14218081 |
| Date accepted: | 2025-02-10 |
| Date submitted: | 2025-01-29 10:44 |
| Submitted by: | Pisani, Leonardo |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
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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- Provide a novel and synergetic link between different research areas.
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Author comments upon resubmission
Thank you for your Editorial Recommendation of Jan 13th, 2025.
As you recommended, we have addressed the point that Referee 2 suggested to further consider before publication. We hereby submit a revised version that takes into due account this point. Together with this resubmission, we have also sent a point-by-point response to the last report by Referee 2.
We hope that with this last improvement our manuscript can proceed to publication on SciPost Physics. We thank again the Referees for their valuable comments and suggestions.
Yours sincerely,
Leonardo Pisani, Pietro Bovini, Fabrizio Pavan, Pierbiagio Pieri
List of changes
a) Sec. 4.3, inserted new figure (Fig. 14), with caption
b) Sec. 4.4, added new panel (c) to Fig. 15 (previous Fig. 14) and modified the caption accordingly
c) Added new paragraph "In this respect, reconsidering the 3D case ..." (4th paragraph of Sec. 4.4)
d) Sec. 4.4, added Eq. (56).
e) Sec. 4.4 added paragraph “An interesting related question is …” after Eq. 56, containing new Eqs. 57,58,59
f) Sec. 4.4, added paragraph “To further analyze this behavior at more generic BF coupling …” after Eq. (59)
g) Sec. 4.4, inserted new figure (Fig. 16), with caption
h) Corrected a typo in Eq. A.9
i) Corrected a typo in Eq. D.10
j) Bibliography, added references 108, 109, 124, 125
k) Bibliography, updated Refs. 38 and 56 to published versions
Published as SciPost Phys. 18, 076 (2025)