Fractal Nodal Band Structures

Marcus Stålhammar, Cristiane Morais Smith

Research output: Contribution to journalArticleAcademicpeer-review


Non-Hermitian systems exhibit interesting band structures, where novel topological phenomena arise from the existence of exceptional points at which eigenvalues and eigenvectors coalesce. One important open question is how this would manifest at non-integer dimension. Here, we report on the appearance of fractal eigenvalue degeneracies and Fermi surfaces in Hermitian and non-Hermitian topological band structures. This might have profound implications on the physics of black holes and Fermi surface instability driven phenomena, such as superconductivity and charge density waves.
Original languageEnglish
Article number043043
Pages (from-to)1-9
Number of pages9
JournalPhysical Review Research
Publication statusPublished - 13 Oct 2023


  • cond-mat.mes-hall
  • math-ph
  • math.MP
  • physics.optics


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