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arXiv · 1909.06831

Dirac-Weyl equation on a hyperbolic graphene surface under perpendicular magnetic fields

D Demir Kızılırmak·Ş Kuru·J Negro
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Abstract

In this paper the Dirac-Weyl equation on a hyperbolic surface of graphene under magnetic fields is considered. In order to solve this equation analytically for some cases, we will deal with vector potentials symmetric under rotations around the z axis. Instead of using tetrads we will get this equation from a more intuitive point of view by restriction from the Dirac-Weyl equation of an ambient space. The eigenvalues and corresponding eigenfunctions for some magnetic fields are found by means of the factorization method. The existence of a zero energy ground level and its degeneracy is also analysed in relation to the Aharonov-Casher theorem valid for flat graphene.

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D Demir Kızılırmak, Ş Kuru, J Negro. 2019-09-15. Dirac-Weyl equation on a hyperbolic graphene surface under perpendicular magnetic fields. https://doi.org/10.1016/j.physe.2019.113926

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