Supersymmetric analysis of the Dirac-Weyl operator within PT symmetry

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Yesiltas Ö.

JOURNAL OF MATHEMATICAL PHYSICS, vol.55, no.8, 2014 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 55 Issue: 8
  • Publication Date: 2014
  • Doi Number: 10.1063/1.4891925
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Gazi University Affiliated: Yes


Two-dimensional effective Hamiltonian for a massless Dirac electron interacting with a hyperbolic magnetic field is discussed within PT symmetry. Factorization method and polynomial procedures are used to solve Dirac equation for the constant Fermi velocity and the effective potential which is complex Scarf II potential. The more general effective Scarf II potential models are also obtained within pseudo-supersymmetry. Finally, an extension of Panella and Roy's work [Phys. Lett. A 376, 2580-2583 (2012)] to the both PT symmetric and real Scarf II partner potentials is given using the position dependent Fermi velocity. (C) 2014 AIP Publishing LLC.