Superconducting instability in a non-Fermi liquid scaling approach
作者:
A.V. Balatsky,
期刊:
Philosophical Magazine Letters
(Taylor Available online 1993)
卷期:
Volume 68,
issue 4
页码: 251-256
ISSN:0950-0839
年代: 1993
DOI:10.1080/09500839308242421
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
The superconducting instability in a non-Fermi liquid in dimensionsd> 1 is considered. For a particular form of the single particle spectral function with homogeneous scalingA(λk, λ ω) = λαA(k, ω) it is shown that the pair susceptibility is also a scaling function of temperature with power defined by α. We find three different regimes depending on the scaling constant. Bardeen-Cooper-Schrieffer result is recovered for α = − 1 and it corresponds to a marginal scaling of the coupling constant. For α > − 1 the superconducting transition happens above some critical coupling. In the opposite case of α < − 1 for any fixed coupling the system undergoes a transition at low temperatures. Possible implications for theories of high-Tcwith a superconducting transition driven by interlayer Josephson tunnelling are discussed.
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