Dirac operator spectrum in tubes and layers with a zigzag type boundary

Pavel Exner, Markus Holzmann*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We derive a number of spectral results for Dirac operators in geometrically nontrivial
regions in R2 and R3 of tube or layer shapes with a zigzag-type boundary using the
corresponding properties of the Dirichlet Laplacian.
Original languageEnglish
Article number102
Number of pages23
JournalLetters in Mathematical Physics
Issue number5
Publication statusPublished - Oct 2022


  • Dirac operator
  • Quantum waveguide
  • Spectral analysis
  • Zigzag boundary conditions

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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