Magnetic oscillations in a model of graphene
arXiv:1801.01931 · doi:10.1007/s00220-019-03409-4
Abstract
We consider a quantum graph as a model of graphene in constant magnetic field and describe the density of states in terms of relativistic Landau levels satisfying a Bohr--Sommerfeld quantization condition. That provides semiclassical corrections (with the magnetic flux as the semiclassical parameter) in the study of magnetic oscillations.
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Cited by in corpus (5)
- Characterization of edge states in perturbed honeycomb structures
- Cantor spectrum of graphene in magnetic fields
- Magnetizations and de Haas-van Alphen oscillations in massive Dirac fermions
- A general formulation for the magnetic oscillations in two dimensional systems
- On new classes of explicit solutions of Dirac, dynamical Dirac and Dirac--Weyl systems with non-vanishing at infinity potentials, their properties and applications