Lifshitz Point in the Phase Diagram of Resonantly Interacting ${}^{6}Li$-${}^{40}K$ Mixtures

Abstract

We consider a strongly interacting ${}^6$Li-${}^{40}$K mixture, which is imbalanced both in the masses and the densities of the two fermionic species. At present, it is the experimentalist's favorite for reaching the superfluid regime. We construct an effective thermodynamic potential that leads to excellent agreement with Monte Carlo results for the normal state. We use it to determine the universal phase diagram of the mixture in the unitarity limit, where we find, in contrast to the mass-balanced case, the presence of a Lifshitz point. This point is characterized by the effective mass of the Cooper pairs becoming negative, which signals an instability towards a supersolid phase.

Replaced with published version

References in corpus (11)

• A High Phase-Space-Density Gas of Polar Molecules
• Phase diagram of a two-component Fermi gas with resonant interactions
• Exploring an ultracold Fermi-Fermi mixture: Interspecies Feshbach resonances and scattering properties of 6Li and 40K
• Normal state of a polarized Fermi gas at unitarity
• Critical Temperature and Thermodynamics of Attractive Fermions at Unitarity
• Ultracold Heteronuclear Fermi-Fermi Molecules
• A Unitary Fermi Supersolid: The Larkin-Ovchinnikov Phase
• Polarized Fermi condensates with unequal masses: Tuning the tricritical point
• Larkin-Ovchinnikov state in resonant Fermi gas
• Renormalization Group Theory for the Imbalanced Fermi Gas
• Heavy-Light Fermion Mixtures at Unitarity

Cited by in corpus (37)

• Ultra-cold Polarized Fermi Gases
• Imbalanced Fermi Gases at Unitarity
• Production of a degenerate Fermi-Fermi mixture of dysprosium and potassium atoms
• Population and mass imbalance in atomic Fermi gases
• Observation of a Strong Atom-Dimer Attraction in a Mass-Imbalanced Fermi-Fermi Mixture
• Resonantly Interacting Fermi-Fermi Mixture of ${}^{161}$Dy and ${}^{40}$K
• Fulde-Ferrell states and Berezinskii-Kosterlitz-Thouless phase transition in two-dimensional imbalanced Fermi gases
• Enhancement effect of mass imbalance on Fulde-Ferrell-Larkin-Ovchinnikov type of pairing in Fermi-Fermi mixtures of ultracold quantum gases
• Polarons in Extremely Polarized Fermi Gases: The Strongly Interacting 6Li-40K Mixture
• Instability of Fulde-Ferrell-Larkin-Ovchinnikov states in three and two dimensions
• Exploring ultracold collisions in ${}^6$Li-${}^{53}$Cr Fermi mixtures: Feshbach resonances and scattering properties of a novel alkali-transition metal system
• Beyond-mean-field description of a trapped unitary Fermi gas with mass and population imbalance
• Quartet Superfluid in Two-dimensional Mass-imbalanced Fermi Mixtures
• Double-degenerate Fermi mixtures of ${}^6$Li and ${}^{53}$Cr atoms
• Interacting Preformed Cooper Pairs in Resonant Fermi Gases
• Observation of low-field Feshbach resonances between ${}^{161}$Dy and ${}^{40}$K
• Observation of Feshbach resonances in an ${}^{167}$Er-${}^6$Li Fermi-Fermi mixture
• Quantum Lifshitz points and fluctuation-induced first-order phase transitions in imbalanced Fermi mixtures
• Phase diagrams of Fermi gases in a trap with mass and population imbalances at finite temperature
• Optically trapped Feshbach molecules of fermionic 161Dy and 40K
• Larkin-Ovchinnikov phases in two-dimensional square lattices
• Multiple phase separation in one-dimensional mixtures of mass- and population-imbalanced attractive Fermi gases
• Induced interactions in the BCS-BEC crossover of two-dimensional Fermi gases with Rashba spin-orbit coupling
• Unconventional superconductivity of an altermagnetic metal: Polarized BCS and inhomogeneous Fulde-Ferrell-Larkin-Ovchinnikov states
• Thermal transitions, pseudogap behavior and BCS-BEC crossover in Fermi-Fermi mixtures
• Stability of the Fulde-Ferrell-Larkin-Ovchinnikov states in anisotropic systems and critical behavior at thermal $m$-axial Lifshitz points
• Pauli limited d-wave superconductors: Quantum breached pair phase and thermal transitions
• Quantum Monte Carlo study of strongly interacting Fermi gases
• Quantum Lifshitz points in an altermagnetic metal
• Thermodynamics of Trapped Imbalanced Fermi Gases at Unitarity
• Dependence of interface conductivity on relevant physical parameters in polarized Fermi mixtures
• Effective binding potential from Casimir interactions: the case of the Bose gas
• Spin-orbit coupled mean-field Bose gas at finite temperature
• Dipole-Mode Spectrum and Hydrodynamic Crossover in a Resonantly Interacting Two-Species Fermion Mixture
• BCS-BEC crossover of the strongly interacting ${}^6$Li-${}^{40}$K mixture
• Interplay of mass imbalance and frustration in correlated band insulators
• Optically trapped Feshbach molecules of fermionic ${}^{161}$Dy and ${}^{40}$K: Role of light-induced and collisional losses