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oai:uvadoc.uva.es:10324/400882026-03-20T08:19:27Zcom_10324_22154com_10324_954com_10324_894col_10324_22155

2020-01-11T19:00:59Z urn:hdl:10324/40088 Dirac-Weyl equation on a hyperbolic graphene surface under perpendicular magnetic fields Demir Kizilirmk, D. Kuru, Şengül Negro Vadillo, Francisco Javier 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 at graphene. 2020-01-11T19:00:59Z 2020-01-11T19:00:59Z 2020 info:eu-repo/semantics/article Physica E: Low-dimensional Systems and Nanostructures 118 (2020) 113926. http://uvadoc.uva.es/handle/10324/40088 113926 eng info:eu-repo/semantics/openAccess