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arXiv 0912.3544cond-mat.quant-gascond-mat.str-el
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$1+ε$维非平衡费米子气体的非费米液体不动点

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

A. J. A. James, A. Lamacraft

摘要:

考虑两种费米子构成的气体,粒子数不平衡。使用重整化群在$d=1+ε$维度,我们表明,无自旋费米子和$ε> 0$的一个固定点出现在有限的吸引耦合准粒子残留消失,并确定这与Larkin-Ovchinnikov-Fulde-Ferrell顺序(非均匀超导性)的过渡。当这两种费米子也带有自旋自由度时,我们发现一个不动点,表明它向自旋密度波序过渡。

英文摘要:

We consider a gas of two species of fermions with population imbalance. Using the renormalization group in $d=1+ε$ dimensions, we show that for spinless fermions and $ε> 0$ 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.

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