Induced $p$-wave pairing in Bose-Fermi mixtures

Abstract

Cooper pairing caused by an induced interaction represents a paradigm in our description of fermionic superfluidity. Here, we present a strong coupling theory for the critical temperature of $p$-wave pairing between spin polarised fermions immersed in a Bose-Einstein condensate. The fermions interact via the exchange of phonons in the condensate, and our self-consistent theory takes into account the full frequency/momentum dependence of the resulting induced interaction. We demonstrate that both retardation and self-energy effects are important for obtaining a reliable value of the critical temperature. Focusing on experimentally relevant systems, we perform a systematic analysis varying the boson-boson and boson-fermion interaction strength as well as their masses, and identify the most suitable system for realising a $p$-wave superfluid. Our results show that such a superfluid indeed is experimentally within reach using light bosons mixed with heavy fermions.

Main text 5 pages, 4 figures. Supplementary material 5 pages

References in corpus (12)

• Vortices and Superfluidity in a Strongly Interacting Fermi Gas
• Quantum degenerate two-species Fermi-Fermi mixture coexisting with a Bose-Einstein condensate
• Tuning of heteronuclear interactions in a quantum-degenerate Fermi-Bose mixture
• Control of the interaction in a Fermi-Bose mixture
• Induced P-wave Superfluidity in Asymmetric Fermi Gases
• Two-Element Mixture of Bose and Fermi Superfluids
• Goldstone mode and pair-breaking excitations in atomic Fermi superfluids
• Observation of a Degenerate Fermi Gas Trapped by a Bose-Einstein Condensate
• Induced interactions in a superfluid Bose-Fermi mixture
• p-Wave superfluid and phase separation in atomic Bose-Fermi mixture
• Experimental realization of ultracold Yb-${}^7\mathrm{Li}$ mixtures in mixed dimensions
• Induced P-wave superfluidity within full energy-momentum dependent Eliashberg approximation in asymmetric dilute Fermi gases

Cited by in corpus (47)

• Bose polarons near quantum criticality
• Transition from a polaronic condensate to a degenerate Fermi gas of heteronuclear molecules
• Higher-order topological superconductivity: possible realization in Fermi gases and Sr${}_2$RuO${}_4$
• Quantum mixtures of ultracold gases of neutral atoms
• Feshbach resonances in $p$-wave three-body recombination within Fermi-Fermi mixtures of open-shell ${}^6$Li and closed-shell ${}^{173}$Yb atoms
• Breathing Mode of a BEC Repulsively Interacting with a Fermionic Reservoir
• Quantum criticality and universality in the $p$-wave paired Aubry-André-Harper model
• Induced pairing of fermionic impurities in a one-dimensional strongly correlated Bose gas
• Polaron spectroscopy of a bilayer excitonic insulator
• Suppression of Unitary Three-body Loss in a Degenerate Bose-Fermi Mixture
• Sound propagation in a Bose-Fermi mixture: from weak to strong interactions
• Realizing Topological Superconductivity in Tunable Bose-Fermi Mixtures with Transition Metal Dichalcogenide Heterostructures
• Interactions mediated by atoms, photons, electrons, and excitons
• Quantum droplet in a mixture of Bose-Fermi superfluids
• Light-induced topological superconductivity in transition metal dichalcogenide monolayers
• Strongly interacting Bose-Fermi mixture: mediated interaction, phase diagram and sound propagation
• Exploring emergent heterogeneous phases in strongly repulsive Fermi gases
• Enhanced visibility of the Fulde-Ferrell-Larkin-Ovchinnikov state in one dimensional Bose-Fermi mixtures near the immiscibility point
• Superconductivity induced by strong electron-exciton coupling in doped atomically thin semiconductor heterostructures
• Polaron spectroscopy of interacting Fermi systems: insights from exact diagonalization
• Collective flow of fermionic impurities immersed in a Bose-Einstein Condensate
• QCD-like phase diagram with Efimov trimers and Cooper pairs in resonantly interacting SU(3) Fermi gases
• Magnon Bose-Einstein condensates: from time crystals and quantum chromodynamics to vortex sensing and cosmology
• Collective excitations of a Bose-Einstein condensate of hard-core bosons and their mediated interactions: from two-body bound states to mediated superfluidity
• Thermodynamic stability, compressibility matrix, and effects of mediated interactions in a strongly-interacting Bose-Fermi mixture
• Collisional dynamics of polaronic clouds immersed in a Fermi sea
• Ion-induced interactions in a Tomonaga-Luttinger liquid
• Polarizing the Medium: Fermion-Mediated Interactions between Bosons
• Tunable boson-assisted finite-range interaction and engineering Majorana corner modes in optical lattices
• Coupled system of electrons and exciton-polaritons: Screening, dynamical effects, and superconductivity
• Detecting chiral pairing and topological superfluidity using circular dichroism
• Attractive polaron in a Dirac system within the ladder approximation
• Superfluid drag between excitonic polaritons and superconducting electron gas
• Attractive polaron formed in doped nonchiral/chiral parabolic system within ladder approximation
• Observation of a Halo Trimer in an Ultracold Bose-Fermi Mixture
• Impurity-induced pairing in two-dimensional Fermi gases
• BCS-BCS crossover between atomic and molecular superfluids in a Bose-Fermi mixture
• Momentum-dependent quasiparticle properties of the Fermi polaron from the functional renormalization group
• Boson-fermion pairing and condensation in two-dimensional Bose-Fermi mixtures
• Pairing properties of an odd-frequency superfluid Fermi gas
• Mechanical stability of resonant Bose-Fermi mixtures
• Correlation Effects in a Trapped Bose-Fermi Mixture: Exact Results
• Composite polaron formed on surface of two-dimensional lattice system in weak coupling regime
• Functional-renormalization-group approach to strongly coupled Bose-Fermi mixtures in two dimensions
• Exotic Superfluid with Emergent flux in a one-dimensional Bose-Fermi mixture
• Resonantly enhanced superconductivity mediated by spinor condensates
• Competitive algorithms for calculating the ground state properties of Bose-Fermi mixtures