2024/02/06 by Daniil Asafov, Asafov, Daniil, I. Pavlov +1
Materials Science · Mathematics · Physics and Astronomy · #FOS: Physical sciences #Graphene research and applications #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Spectral Theory in Mathematical Physics #Topological Materials and Phenomena
paper · pdf · doi:10.48550/arxiv.2402.03623
openalex publication_date 2024/02/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Two-dimensional semi-Dirac models describe a family of novel materials that have anisotropic dispersion with relativistic-type spectrum along one of the spatial directions and non-relativistic along another. In the present paper we perform a detailed analysis of Landau levels collapse for such models in perpendicular magnetic field and in-plane electric field by using semi-classical approach and tight-binding simulations. The anisotropic nature of semi-Dirac dispersion manifests itself in the possibility of Landau level collapse for only one of the electric field directions. In addition, the topological transition with merging Dirac cones has its own distinct features in Landau level collapse.