Bound states in inhomogeneous magnetic field in graphene: a semiclassical approach
arXiv:0805.2527 · doi:10.1103/PhysRevB.78.045430
Abstract
We derive semiclassical quantization equations for graphene mono- 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.
8 pages, 7 figures
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- Graphene Andreev Billiards
- Protected edge states in silicene antidots and dots in magnetic field
- Tunneling in an anisotropic cubic Dirac semi-metal
- Solitons induced by an in-plane magnetic field in rhombohedral multilayer graphene
- Bound states for massive Dirac fermions in graphene in a magnetic step field
- WKB energy levels in gapped graphene under crossed electromagnetic fields
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