Non-Fermi-Liquid Fixed Point for an Imbalanced Gas of Fermions in 1+ϵ Dimensions
A. J. A. James, Austen Lamacraft
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.
arXiv:0912.3544•Physical Review Letters•May 14, 2010•5 citations