The role of the impurity-potential range in disordered d-wave superconductors

We analyse how the range of disorder affects the localization properties of quasiparticles in a two-dimensional d-wave superconductor within the standard non-linear σ-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 inter-node scattering due to a short range component of the disorder, thus providing a coherent non-linear σ-model description in agreement with all the various findings of different approaches.

• Publication year

  2006

• Venue

  Journal of Statistical Mechanics: Theory and Experiment

• Publication date

  2006-12-14

• Fields of study

  Physics

• Identifiers
  DOI 10.1088/1742-5468/2007/02/P02014arXiv cond-mat/0612364
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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