Non-Fermi-liquid fixed point for an imbalanced gas of fermions in 1+ϵ dimensions.
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.
James
A J A
AJ
Department of Physics, University of Virginia, Charlottesville, Virginia 22904-4717, USA.
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