Phases of spin- and mass-imbalanced ultracold Fermi gases in harmonic traps

Abstract

We analyze the phase structure of mass- and spin-imbalanced unitary Fermi gases in harmonic traps. To this end, we employ Density Functional Theory in the local density approximation. Depending on the values of the control parameters measuring mass and spin imbalance, we observe that three regions exist in the trap, namely: a superfluid region at the center, surrounded by a mixed region of resonantly interacting spin-up and spin-down fermions, and finally a fully polarized phase surrounding the previous two regions. We also find regimes in the phase diagram where the existence of a superfluid region at the center of the trap is not energetically favored. We point out the limitations of our approach at the present stage, and call for more detailed (ab initio) studies of the equation of state of uniform, mass-imbalanced unitary Fermi gases.

10 pages, 7 figures

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• Phase structure of mass- and spin-imbalanced unitary Fermi gases
• Phase structure of spin-imbalanced unitary Fermi gases
• Zero-temperature equation of state of mass-imbalanced resonant Fermi gases
• Beyond-mean-field description of a trapped unitary Fermi gas with mass and population imbalance
• Lifetime of Feshbach dimers in a Fermi-Fermi mixture of ${}^6$Li and ${}^{40}$K
• Sarma phase in relativistic and non-relativistic systems
• Thermal transitions, pseudogap behavior and BCS-BEC crossover in Fermi-Fermi mixtures
• Pauli limited d-wave superconductors: Quantum breached pair phase and thermal transitions
• Equation of state of non-relativistic matter from automated perturbation theory and complex Langevin
• BCS-BEC crossover of the strongly interacting ${}^6$Li-${}^{40}$K mixture
• In-medium bound-state formation and inhomogeneous condensation in Fermi gases in a hard-wall box