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Becker, Simon; Zworski, Maciej

Magnetic oscillations in a model of graphene. (English) Zbl 1417.82035

Commun. Math. Phys. 367, No. 3, 941-989 (2019).
Summary: 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.

Cited in 7 Documents

MSC:

82D80 Statistical mechanics of nanostructures and nanoparticles
05C90 Applications of graph theory
81S10 Geometry and quantization, symplectic methods
82D40 Statistical mechanics of magnetic materials

Keywords:

quantum graph; graphene; magnetic field; Bohr-Sommerfeld quantization
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Full Text: DOI arXiv

References:

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