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

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dc.creatorRyu, S.
dc.creatorFurusaki, A.
dc.creatorLudwig, A. W. W.
dc.creatorMudry, C.
dc.date2006-12-06
dc.date.accessioned2026-07-07T08:24:47Z
dc.date.available2026-07-07T08:24:47Z
dc.descriptionWe 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 $d=(2+ε)$ dimensions (symmetry classes C and D of Altland and Zirnbauer). Using a perturbative renormalization group analysis of the corresponding non-linear sigma model (NL$σ$M) 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 $ε=(2-d)$ 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 NL$σ$Ms defined on Riemannian symmetric target spaces.
dc.description23 pages
dc.identifierhttps://arxiv.org/abs/cond-mat/0612134
dc.identifierhttp://arxiv.org/abs/cond-mat/0612134
dc.identifierNucl. Phys. B 780, 105 (2007)
dc.identifierdoi:10.1016/j.nuclphysb.2007.03.027
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/136462
dc.subjectMesoscale and Nanoscale Physics
dc.subjectDisordered Systems and Neural Networks
dc.titleConductance fluctuations in disordered superconductors with broken time-reversal symmetry near two dimensions
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