title: Non-Fermi-liquid fixed point for an imbalanced gas of fermions in 1+ϵ dimensions.
abstract: We consider a gas of two species of fermions with population imbalance. Using the renormalization group in d=1+ϵ spatial dimensions, we show that for spinless fermions and 2>ϵ>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.
authors.affiliation: Department of Physics, University of Virginia, Charlottesville, Virginia 22904-4717, USA.
authors.forename: A J A
authors.initials: AJ
authors.lastname: James
authors.forename: A
authors.initials: A
authors.lastname: Lamacraft