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10 November 2024
 
  » arxiv » cond-mat/9308008

 Article overview



On superconducting instability in non-Fermi liquid: scaling approach
A.V. Balatsky ;
Date 5 Aug 1993
Subject cond-mat
AbstractThe superconducting instability in a non-Fermi liquid in $ d>1$ is considered. For a particular form of the single particle spectral function with homogeneous scaling $A(Lambda k, Lambda omega) = Lambda^{alpha} A(k, omega)$ it is shown that the pair susceptibility is also a scaling function of temperature with power defined by $alpha$. We find three different regimes depending on the scaling constant. The BCS result is recovered for $alpha = -1$ and it corresponds to a marginal scaling of the coupling constant. For $alpha > -1$ the superconducting transition happens above some critical coupling. In the opposite case of $alpha < -1$ for any fixed coupling the system undergoes a transition at low temperatures. Possible implications for theories of high-$T_c$ with a superconducting transition driven by the interlayer Josephson tunneling are discussed. 1 ps file for fig is attached at the bottom of the tex file.
Source arXiv, cond-mat/9308008
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