Non-Fermi liquid fixed point for an imbalanced gas of fermions in $1+\epsilon$ dimensions

Abstract

We consider a gas of two species of fermions with population imbalance. Using the renormalization group in $d=1+\epsilon$ dimensions, we show that for spinless fermions and $\epsilon >0$ a fixed point appears at finite attractive coupling where the quasiparticle residue vanishes, and identify this with the transition to Larkin--Ovchinnikov--Fulde--Ferrell order (inhomogeneous superconductivity). When the two species of fermions also carry spin degrees of freedom we find a fixed point indicating a transition to spin density wave order.

4 pages and 4 figures

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Cited by in corpus (4)

• FFLO strange metal and quantum criticality in two dimensions: theory and application to organic superconductors
• Fluctuations of imbalanced fermionic superfluids in two dimensions induce continuous quantum phase transitions and non-Fermi liquid behavior
• Evolution of an attractive polarized Fermi gas: From a Fermi liquid of polarons to a non-Fermi liquid at the Fulde-Ferrell-Larkin-Ovchinnikov quantum critical point
• Imbalanced ultracold Fermi gas in the weakly repulsive regime: Renormalization group approach for p-wave superfluidity