Abstract
We 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 (π, π) 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.
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Hirschfeld, P.J., Atkinson, W.A. Π à la Node: Disordered d-Wave Superconductors in Two Dimensions for the Random Masses. Journal of Low Temperature Physics 126, 881–900 (2002). https://doi.org/10.1023/A:1013838523587
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DOI: https://doi.org/10.1023/A:1013838523587