# Functional-renormalization-group approach to strongly coupled Bose-Fermi mixtures in two dimensions

@article{vonMilczewski2022Functionalrenormalizationgro, title={Functional-renormalization-group approach to strongly coupled Bose-Fermi mixtures in two dimensions}, author={Jonas von Milczewski and F{\'e}lix Rose and Richard Schmidt}, journal={Physical Review A}, year={2022} }

We study theoretically the phase diagram of strongly coupled two-dimensional Bose-Fermi mixtures interacting with attractive short-range potentials as a function of the particle densities. We focus on the limit where the size of the bound state between a boson and a fermion is small compared to the average interboson separation and develop a functional-renormalization-group approach that accounts for the bound-state physics arising from the extended Fröhlich Hamiltonian. By including three-body…

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## References

SHOWING 1-10 OF 37 REFERENCES

### Attractive and repulsive Fermi polarons in two dimensions

- PhysicsNature
- 2012

Fermi polarons are created and investigated in a two-dimensional, spin-imbalanced Fermi gas, measuring their spectral function using momentum-resolved photoemission spectroscopy and finding evidence for a disputed pairing transition between polarons and tightly bound dimers, which provides insight into the elementary pairing mechanism of imbalanced, strongly coupled two- dimensional Fermu gases.

### The nonperturbative functional renormalization group and its applications

- PhysicsPhysics Reports
- 2021

### Non-Perturbative Renormalization Group calculation of the transition temperature of the weakly interacting Bose gas

- Physics
- 2004

We present a new approximation scheme to solve the Non-Perturbative Renormalization Group equations and obtain the full momentum dependence of n-point functions. The core of the method consists in…

### Superfluidity near phase separation in Bose-Fermi mixtures

- Physics
- 2008

We study the transition to fermion pair superfluidity in a mixture of interacting bosonic and fermionic atoms. The fermion interaction induced by the bosons and the dynamical screening of the…

### Analytical theory of the dressed bound state in highly polarized Fermi gases

- Physics
- 2009

We present an analytical treatment of a single ↓-atom within a Fermi sea of ↑-atoms, when the interaction is strong enough to produce a bound state, dressed by the Fermi sea. Our method makes use of…

### Topological order, emergent gauge fields, and Fermi surface reconstruction

- PhysicsReports on progress in physics. Physical Society
- 2019

This review describes how topological order associated with the presence of emergent gauge fields can reconstruct Fermi surfaces of metals, even in the absence of translational symmetry breaking. We…

### Bose polarons near quantum criticality

- PhysicsScience
- 2020

Bose polarons are created by immersing atomic impurities in a Bose-Einstein condensate (BEC) with near-resonant interactions using radiofrequency spectroscopy to probed the energy, spectral width, and short-range correlations of the impurities as a function of temperature.

### BCS-BEC crossover in two dimensions: A quantum Monte Carlo study

- Physics
- 2012

We investigate the crossover from Bardeen-Cooper-Schrieffer (BCS) superfluidity to Bose-Einstein condensation (BEC) in a two-dimensional Fermi gas at T = 0 using the fixed-node diffusion Monte Carlo…