Magnetic oscillations in a model of graphene
Simon Becker, Maciej Zworski

TL;DR
This paper models graphene using a quantum graph under a magnetic field, analyzing the density of states and magnetic oscillations through semiclassical corrections based on relativistic Landau levels.
Contribution
It introduces a semiclassical approach to study magnetic oscillations in graphene modeled as a quantum graph, incorporating relativistic Landau levels and Bohr--Sommerfeld quantization.
Findings
Density of states expressed via relativistic Landau levels
Semiclassical corrections with magnetic flux as parameter
Description of magnetic oscillations in the model
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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