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

G. Schwiete·K. B. Efetov
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Abstract

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 $δχ$ to the Pauli susceptibility a non-analytic temperature dependence of the form $ T^{d-1}γ_{b}^{2}(T)$ in dimensions $d=2,3,$ where $γ_{b}(T)$ is an effective $d$-dependent logarithmically renormalized backscattering amplitude. In one dimension, $δχ$ is proportional to $γ_{b}(T)$, and we reproduce a well known result obtained long ago by a direct calculation.

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G. Schwiete, K. B. Efetov. 2006-06-14. Temperature dependence of the spin susceptibility of a clean Fermi gas with repulsion. https://doi.org/10.1103/physrevb.74.165108

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