Cantor spectrum of graphene in magnetic fields
arXiv:1803.00988 · doi:10.1007/s00222-019-00916-y
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 through a honeycomb is irrational, the continuous spectrum is an unbounded Cantor set of Lebesgue measure zero.
arXiv comment55 pages, 8 figures
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