Abstract
Two-dimensional effective Hamiltonian for a massless Dirac electron interacting with a hyperbolic magnetic field is discussed within \documentclass[12pt]{minimal}\begin{document}$\mathcal{PT}$\end{document}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 \documentclass[12pt]{minimal}\begin{document}$\mathcal{PT}$\end{document}PT symmetric and real Scarf II partner potentials is given using the position dependent Fermi velocity.
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