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.
arXiv comment17 pages, 15 figures
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