Document Type
Article
Publication Date
12-1-2019
Abstract
We consider a quantum graph as a model of graphene in magnetic fields and give a complete analysis of the spectrum, for all constant fluxes. In particular, we show that if the reduced magnetic flux Φ / 2 π through a honeycomb is irrational, the continuous spectrum is an unbounded Cantor set of Lebesgue measure zero.
Publication Source (Journal or Book title)
Inventiones Mathematicae
First Page
979
Last Page
1041
Recommended Citation
Becker, S., Han, R., & Jitomirskaya, S. (2019). Cantor spectrum of graphene in magnetic fields. Inventiones Mathematicae, 218 (3), 979-1041. https://doi.org/10.1007/s00222-019-00916-y
COinS