Magnetic oscillations in a model of graphene
Mathematical Physics
2019-05-01 v1 math.MP
Spectral Theory
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.
Keywords
Cite
@article{arxiv.1801.01931,
title = {Magnetic oscillations in a model of graphene},
author = {Simon Becker and Maciej Zworski},
journal= {arXiv preprint arXiv:1801.01931},
year = {2019}
}