Spectral analysis of Dirac materials in position-dependent magnetic and electric fields via Heun functions
arXiv:2509.00401 · doi:10.1140/epjp/s13360-025-07200-4
Abstract
This work focuses on the study of the spectral problem for Dirac materials immersed in position-dependent magnetic and electric fields. To achieve this, the system of differential equations satisfied by the eigenfunction components of the Hamiltonian has been decoupled, and the solutions for some specific cases have been analyzed using Heun functions, which provide us with a quantization relation and allow us to determine the solutions for the bound states.
17 pages, 15 figures
References in corpus (9)
- The Rare Two-Dimensional Materials with Dirac Cones
- Novel electric field effects on Landau levels in Graphene
- Electronic properties of 8-Pmmn borophene
- Valleytronics in merging Dirac cones: All-electric-controlled valley filter, valve and universal reversible logic gate
- Coherent states for graphene under the interaction of crossed electric and magnetic fields
- A note on the generalized-hypergeometric solutions of general and single-confluent Heun equations
- Graphene Dirac fermions in symmetric electric and magnetic fields: the case of an electric square well
- An algorithm for exact analytical solutions for tilted anisotropic Dirac materials
- Phase-space representation of coherent states generated through SUSY QM for tilted anisotropic Dirac materials