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Magnetic Dirac operator in strips submitted to strong magnetic fields

  • Loïc Le Treust

    Université d’Aix-Marseille, CNRS, I2M, Marseille, France

  • Nicolas Raymond

    Université d’Angers, Angers, France

  • Julien Royer

    Université Toulouse III – Paul Sabatier, Toulouse, France
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Abstract

We consider the magnetic Dirac operator on a curved strip whose boundary carries the infinite mass boundary condition. When the magnetic field is large, we provide the reader with accurate estimates of the essential and discrete spectra. In particular, we give sufficient conditions ensuring that the discrete spectrum is non-empty.

Cite this article

Loïc Le Treust, Nicolas Raymond, Julien Royer, Magnetic Dirac operator in strips submitted to strong magnetic fields. J. Spectr. Theory (2024), published online first

DOI 10.4171/JST/539