p-wave Pairing in Two-Component Fermi System with Unequal Population: Weak Coupling BCS to Strong Coupling BEC Regimes

Abstract

We study p-wave pairing in a two-component Fermi system with unequal population across weak-coupling BCS to strong-coupling BEC regimes. We find a rich $m_s=0$ spin triplet p-wave superfluid ground state structure as a function of population imbalance. Under a phase stability condition, the "global" energy minimum is given by a multitude of "mixed" SF states formed of linear combinations of $m=\pm 1,0$ sub-states of the $\ell =1$ orbital angular momentum state. Except for the "pure" SF states, ($\ell =1,m=\pm 1$), other states exhibit oscillation in energy with the relative phase between the constituent gap amplitudes. We also find states with "local" energy minimum that can be stable at higher polarizations, suggesting a quantum phase transition between the "global" and "local" minima phases driven by polarization. The local and global minimum states may be associated with Morse and non-Morse critical points. We discuss possible consequences for experiments.

5 pages, 3 figures

References in corpus (15)

• Observation of the Pairing Gap in a Strongly Interacting Fermi Gas
• Superconductivity on the border of weak itinerant ferromagnetism in UCoGe
• Observation of Phase Separation in a Strongly-Interacting Imbalanced Fermi Gas
• Direct Observation of the Superfluid Phase Transition in Ultracold Fermi Gases
• Phase diagram of a two-component Fermi gas with resonant interactions
• Deformation of a Trapped Fermi Gas with Unequal Spin Populations
• Anisotropic Fermi Superfluid via p-wave Feshbach Resonance
• Induced P-wave Superfluidity in Asymmetric Fermi Gases
• Fermion Superfluids of Non-Zero Orbital Angular Momentum near Resonance
• Superconducting phase diagram and FFLO signature in $\lambda$-(BETS)${}_2$GaCl${}_4$ from rf penetration depth measurements
• Stabilization of the p-wave superfluid state in an optical lattice
• Induced p-wave superfluidity in two dimensions: Brane world in cold atoms and nonrelativistic defect CFTs
• Nonzero orbital angular momentum superfluidity in ultracold Fermi gases
• Induced p-wave superfluidity in strongly interacting imbalanced Fermi gases
• Correlated Phases of Population Imbalanced Fermi-Fermi Mixtures on an Optical Lattice

Cited by in corpus (4)

• Stable p-wave resonant two-dimensional Fermi-Bose dimers
• A Novel Route to Reach a $p$-wave Superfluid Fermi Gas
• Phase diagram for the trapped p-wave fermionic superfluid with population imbalance
• Appropriate conditions to realize a $p$-wave superfluid state starting from a spin-orbit coupled $s$-wave superfluid Fermi gas