Nesting and lifetime effects in the FFLO state of quasi-one-dimensional imbalanced Fermi gases

Abstract

Motivated by the recent experimental realization of a candidate to the Fulde-Ferrell (FF) and the Larkin-Ovchinnikov (LO) states in one dimensional (1D) atomic Fermi gases, we study the quantum phase transitions in these enigmatic, finite momentum-paired superfluids. We focus on the FF state and investigate the effects of the induced interaction on the stability of the FFLO phase in homogeneous spin-imbalanced quasi-1D Fermi gases at zero temperature. When this is taken into account we find a direct transition from the fully polarized to the FFLO state. Also, we consider the effect of a finite lifetime of the quasi-particles states in the normal-superfluid instability. In the limit of long lifetimes, the lifetime effect is irrelevant and the transition is directly from the fully polarized to the FFLO state. We show, however, that for sufficiently short lifetimes there is a quantum critical point (QCP), at a finite value of the mismatch of the Fermi wave-vectors of the different quasi-particles, that we fully characterize. In this case the transition is from the FFLO phase to a normal partially polarized state with increasing mismatch.

15 pages, 4 figures

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Cited by in corpus (7)

• Entanglement and exotic superfluidity in spin-imbalanced lattices
• Mechanism for enhancement of superconductivity in multi-band systems with odd parity hybridization
• Metric-space approach for distinguishing quantum phase transitions in spin-imbalanced systems
• Suppression of superconductivity by inhomogeneous chiral condensation in the NJL${}_2$ model
• The Gor'kov and Melik-Barkhudarov correction to the mean-field critical field transition to Fulde-Ferrell-Larkin-Ovchinnikov states
• The Gor'kov and Melik-Barkhudarov correction to an imbalanced Fermi gas in the presence of impurities
• Temporal fluctuation induced order in conventional superconductors