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

Luca Dell'Anna·Michele Fabrizio·Claudio Castellani
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Abstract

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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Luca Dell'Anna, Michele Fabrizio, Claudio Castellani. 2006-12-14. Role of the impurity-potential range in disordered d-wave superconductors. https://doi.org/10.1088/1742-5468%2F2007%2F02%2Fp02014

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