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

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 $\delta \chi$ 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.

25 pages, 10 figures

References in corpus (1)

• Supersymmetric low-energy theory and renormalization group for a clean Fermi gas with a repulsion in arbitrary dimensions

Cited by in corpus (10)

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• Temperature dependence of spin susceptibility in two-dimensional Fermi liquid systems
• Cooper channel and the singularities in the thermodynamics of a Fermi liquid
• Momentum dependence of the spin susceptibility in two dimensions: nonanalytic corrections in the Cooper channel
• Specific heat of a one-dimensional interacting Fermi system: the role of anomalies
• Non-analytic magnetic field dependence of quasi-particle properties of two-dimensional metals
• Dimensional reduction of the Luttinger-Ward functional for spin-degenerate $D$-dimensional electron gases
• Collective mode description for a clean Fermi gas with repulsion in arbitrary dimensions: interaction of spin excitations and its consequences