https://doi.org/10.1140/epjp/s13360-024-05071-9
Regular Article
An algorithm for exact analytical solutions for tilted anisotropic Dirac materials
1
Unidad Profesional Interdisciplinaria de Ingeniería Campus Hidalgo del Instituto Politécnico Nacional, 42162, Hidalgo, México
2
Área Académica de Matemáticas y Física, Universidad Autónoma del Estado de Hidalgo, 42184, Hidalgo, México
Received:
30
April
2023
Accepted:
7
March
2024
Published online:
19
March
2024
In this article, we obtain the exact solutions for bound states of tilted anisotropic Dirac materials under the action of external electric and magnetic fields with translational symmetry. In order to solve the eigenvalue equation that arises from the effective Hamiltonian of these materials, we describe an algorithm that allows us to decouple the differential equations that are obtained for the spinor components.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.