An algorithm for exact analytical solutions for tilted anisotropic Dirac materials

• URL: http://arxiv.org/abs/2305.00913v2
• Date: Fri, 22 Mar 2024 00:33:12 GMT
• Title: An algorithm for exact analytical solutions for tilted anisotropic Dirac materials
• Authors: Julio A. Mojica-Zárate, Daniel O-Campa, Erik Díaz-Bautista,
• Abstract summary: 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 allow us to decouple the differential equations that are obtained for the spinor components.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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 allow us to decouple the differential equations that are obtained for the spinor components.

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