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.

arXiv comment25 pages, 10 figures

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• Nonanalytic Magnetic Response of Fermi- and non-Fermi Liquids
• Optical conductivity of a two-dimensional metal at the onset of spin-density-wave order
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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
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• Specific heat of a one-dimensional interacting Fermi system: the role of anomalies
• Low energy excitations and singular contributions in the thermodynamics of clean Fermi liquids
• Temperature dependence of the paramagnetic spin susceptibility of doped graphene
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• Non-analytic magnetic field dependence of quasi-particle properties of two-dimensional metals
• Collective mode description for a clean Fermi gas with repulsion in arbitrary dimensions: interaction of spin excitations and its consequences