Abstract
We analyse how the range of disorder affects the localization properties of quasiparticlesin a two-dimensional d-wave superconductor within the standard non-linearσ-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 theambiguities which often beset the disordered Dirac-fermion theories, and gives rise to aWess–Zumino–Novikov–Witten action leading to vanishing density of states and finiteconductivities. We also study the crossover induced by inter-node scattering due toa short range component of the disorder, thus providing a coherent non-linearσ-model description in agreement with all the various findings of different approaches.
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