Comment on "Superfluid stability in the BEC-BCS crossover"

Abstract

We point out an error in recent work by Pao, Wu, and Yip [Phys. Rev.B {\bf 73}, 132506 (2006)], that stems from their use of a necessary but not sufficient condition [positive compressibility (magnetic susceptibility) and superfluid stiffness] for the stability of the ground state of a polarized Fermi gas. As a result, for a range of detunings their proposed ground-state solution is a local maximum rather than a minimum of the ground state energy, which thereby invalidates their proposed phase diagram for resonantly interacting fermions under an imposed population difference.

4 pages, 2 figures. Version in PRB

References in corpus (9)

• Pairing and Phase Separation in a Polarized Fermi Gas
• Fermionic Superfluidity with Imbalanced Spin Populations and the Quantum Phase Transition to the Normal State
• BEC-BCS crossover in "magnetized" Feshbach-resonantly paired superfluids
• Phase separation in asymmetrical fermion superfluids
• Zero-temperature phase diagram of binary boson-fermion mixtures
• Finite temperature phase diagram of a polarised Fermi condensate
• Stability Criteria for Breached Pair Superfluidity
• Superfluid stability in BEC-BCS crossover
• Two-species fermion mixtures with population imbalance

Cited by in corpus (20)

• The Physics of Pair Density Waves
• Imbalanced Feshbach-resonant Fermi gases
• Phase separation in a polarized Fermi gas at zero temperature
• Fluctuations and phase transitions in Larkin-Ovchinnikov liquid crystal states of population-imbalanced resonant Fermi gas
• Itinerant ferromagnetism in an atomic Fermi gas: Influence of population imbalance
• Fulde-Ferrell Pairing instability in Spin-Orbit Coupled Fermi Gas
• Relativistic BCS-BEC crossover in a boson-fermion model
• Phase Diagram of Cold Polarized Fermi Gas in Two Dimensions
• Quantum liquid-crystal order in resonant atomic gases
• Phase separation in imbalanced fermion superfluids beyond mean-field
• Stable Sarma State in Two-band Fermi Systems
• Quench dynamics of spin-imbalanced Fermi-Hubbard model in one dimension
• Chiral twodimensional p-wave superfluid from s-wave pairing in the BEC regime
• Polarized superfluids near their tricritical point
• Linear response of heat conductivity of normal-superfluid interface of a polarized Fermi gas to orbital magnetic field
• Pairing in Asymmetrical Fermi Systems with Intra- and Inter-Species Correlations
• Induced superfluidity of imbalanced Fermi gases near unitarity
• Superfluidity and pairing phenomena in ultracold atomic Fermi gases in one-dimensional optical lattices, Part II: Effects of population imbalance
• Coexistence of topological and nontopological Fermi-superfluid phases
• Leading Order $k_{F}a$ Corrections to the Free Energy and Phase Separation in Two-component Fermion Systems