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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… Click to show full 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 $$\Phi / 2\pi $$Φ/2π through a honeycomb is irrational, the continuous spectrum is an unbounded Cantor set of Lebesgue measure zero.
Keywords:
graphene magnetic;
magnetic fields;
cantor spectrum;
spectrum graphene
Journal Title: Inventiones mathematicae
Year Published: 2019
Link to full text (if available)
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Journal Title: Inventiones mathematicae
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!