Disorder-induced exceptional points and nodal lines in Dirac superconductors

Research output: Contribution to journalArticleScientificpeer-review


Research units

  • Russian Academy of Sciences, Ioffe Physical-Technical Institute
  • University of Paris-Saclay


We consider the effect of disorder on the spectrum of quasiparticles in the point-node and nodal-line superconductors. Due to the anisotropic dispersion of quasiparticles disorder scattering may render the Hamiltonian describing these excitations non-Hermitian. Depending on the dimensionality of the system, we show that the nodes in the spectrum are replaced by Fermi arcs or Fermi areas bounded by exceptional points or exceptional lines, respectively. These features are illustrated by first considering a model of a proximity-induced superconductor in an anisotropic two-dimensional (2D) Dirac semimetal, where a Fermi arc in the gap bounded by exceptional points can be realized. We next show that the interplay between disorder and supercurrents can give rise to a 2D Fermi surface bounded by exceptional lines in three-dimensional (3D) nodal superconductors.


Original languageEnglish
Article number165145
Pages (from-to)1-10
Number of pages10
JournalPhysical Review B
Issue number16
Publication statusPublished - 29 Apr 2019
MoE publication typeA1 Journal article-refereed

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