Role of the impurity-potential range in disordered d-wave superconductors

Details Role of the impurity-potential range in disordered d-wave superconductors Role of the impurity-potential range in disordered d-wave superconductors

2006-12-14

arxiv.org/abs/cond-mat/0612364v1

J. Stat. Mech. P02014 (2007)

Physics

Condensed Matter

Disordered Systems and Neural Networks

38 pages, 1 figure

Scientific paper

10.1088/1742-5468/2007/02/P02014

We analyze how the range of disorder affects the localization properties of quasiparticles in a two-dimensional d-wave superconductor within the standard non-linear sigma-model approach to disordered systems. We show that for purely long-range disorder, which only induces intra-node scattering processes, the approach is free from the ambiguities which often beset the disordered Dirac-fermion theories, and gives rise to a Wess-Zumino-Novikov-Witten action leading to vanishing density of states and finite conductivities. We also study the crossover induced by internode scattering due to a short range component of the disorder, thus providing a coherent non-linear sigma-model description in agreement with all the various findings of different approaches.

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