Coherent states generated by means of supersymmetric quantum mechanics for tilted anisotropic Dirac materials

Abstract

In this paper, we consider the interaction of electrons in tilted anisotropic Dirac materials with external electric and magnetic fields with translational symmetry, for a specific non-null electric field amplitude that allows us to decouple the differential equation system arising in the eigenvalue problem. Then, the eigenstates and eigenvalues for the corresponding Hamiltonian operator can be obtained by means of supersymmetric quantum mechanics. In order to use a semi-classical approach to analyze this system, we find a family of coherent states. Finally, the properties of these states are analyzed through fidelity and the Wigner function.