Temperature dependence of the spin susceptibility of a clean Fermi gas with repulsion

Details Temperature dependence of the spin susceptibility of a clean Fermi gas with repulsion Temperature dependence of the spin susceptibility of a clean Fermi gas with repulsion

2006-06-14

arxiv.org/abs/cond-mat/0606389v1

Phys. Rev. B 74, 165108 (2006)

Physics

Condensed Matter

Strongly Correlated Electrons

25 pages, 10 figures

Scientific paper

10.1103/PhysRevB.74.165108

Spin susceptibility of a clean Fermi gas with repulsion in any dimension is considered using a supersymmetric low energy theory of interacting spin excitations and renormalization scheme recently proposed by Aleiner and Efetov [cond-mat/0602309]. We generalize this method to include the coupling to the magnetic field. As a result, we obtain for the correction $\delta \chi $ to the Pauli susceptibility a non-analytic temperature dependence of the form $ T^{d-1}\gamma_{b}^{2}(T)$ in dimensions $d=2,3,$ where $\gamma_{b}(T)$ is an effective $d$-dependent logarithmically renormalized backscattering amplitude. In one dimension, $\delta \chi $ is proportional to $\gamma_{b}(T)$, and we reproduce a well known result obtained long ago by a direct calculation.

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