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Bound states in inhomogeneous magnetic field in graphene: Semiclassical approach

2008/05/16 by Andor Kormányos, A. Kormanyos, P. Rakyta +5
Materials Science · Physics and Astronomy · #Graphene research and applications #Quantum and electron transport phenomena #Topological Materials and Phenomena #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevb.78.045430

published as Phys. Rev. B 78, 045430 (2008) · 8 pages, 7 figures

arxiv created 2008/05/16 · openalex publication_date 2008/07/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We derive semiclassical quantization equations for graphene monolayer and bilayer systems where the excitations are confined by the applied inhomogeneous magnetic field. The importance of a semiclassical phase, a consequence of the spinor nature of the excitations, is pointed out. The semiclassical eigenenergies show good agreement with the results of quantum-mechanical calculations based on the Dirac equation of graphene and with numerical tight-binding calculations.

Citations