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19 April 2024
 
  » arxiv » cond-mat/0606389

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Temperature dependence of the spin susceptibility of a clean Fermi gas with repulsion
G. Schwiete ; K. B. Efetov ;
Date 14 Jun 2006
Subject Strongly Correlated Electrons
AbstractSpin 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.
Source arXiv, cond-mat/0606389
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