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16 April 2024
 
  » arxiv » cond-mat/0108487

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$Pi$ à la node: disordered d-wave superconductors in two dimensions for the random masses
P.J. Hirschfeld ; W.A. Atkinson ;
Date 29 Aug 2001
Subject Superconductivity; Strongly Correlated Electrons | cond-mat.supr-con cond-mat.str-el
AbstractWe review work on the problem of disorder in the 2D d-wave superconducting state, and show that the symmetries of the normal state and the disorder distribution are vital for understanding the low-energy behavior. Most previous theoretical results for the density of states (DOS) are reconciled by a combination of exact numerical solutions of the Bogoliubov-de Gennes equations and weak localization calculations, which suggest that a novel diffusive mode with momentum $(pi ,pi)$ is responsible for a divergence of the DOS in the globally particle-hole symmetric case. We note briefly that the simple problem of a disordered tight-binding band of normal electrons displays some similar effects, which have been overlooked in the literature. Finally, in the physically realistic case of binary alloy disorder, no particle-hole symmetry, and an order parameter which is supressed around each impurity site, a power law with nonuniversal exponent is predicted.
Source arXiv, cond-mat/0108487
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