Conductance fluctuations in disordered superconductors with broken time-reversal symmetry near two dimensions

S. Ryu, A. Furusaki, A. W.W. Ludwig, C. Mudry

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

We extend the analysis of the conductance fluctuations in disordered metals by Altshuler, Kravtsov, and Lerner (AKL) to disordered superconductors with broken time-reversal symmetry in d = (2 + ε{lunate}) dimensions (symmetry classes C and D of Altland and Zirnbauer). Using a perturbative renormalization group analysis of the corresponding non-linear sigma model (NLσM) we compute the anomalous scaling dimensions of the dominant scalar operators with 2s gradients to one-loop order. We show that, in analogy with the result of AKL for ordinary, metallic systems (Wigner-Dyson classes), an infinite number of high-gradient operators would become relevant (in the renormalization group sense) near two dimensions if contributions beyond one-loop order are ignored. We explore the possibility to compare, in symmetry class D, the ε{lunate} = (2 - d) expansion in d < 2 with exact results in one dimension. The method we use to perform the one-loop renormalization analysis is valid for general symmetric spaces of Kähler type, and suggests that this is a generic property of the perturbative treatment of NLσMs defined on Riemannian symmetric target spaces.

Original languageEnglish (US)
Pages (from-to)105-142
Number of pages38
JournalNuclear Physics B
Volume780
Issue number3
DOIs
StatePublished - Oct 1 2007
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

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