Title

Cantor spectrum of graphene in magnetic fields

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

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