Cantor spectrum of graphene in magnetic fields
Cantor spectrum of graphene in magnetic fields
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DOI：
10.1007/s00222-019-00916-y
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发表时间：
2018-03
影响因子：
3.1
通讯作者：
Simon Becker;R. Han;S. Jitomirskaya
中科院分区：
文献类型：
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作者：
Simon Becker;R. Han;S. Jitomirskaya
我们认为一个量子图形作为一个模型的石墨烯在磁场中，并给出了一个完整的分析的频谱，所有恒定的通量。特别地，我们证明了如果通过蜂窝的约化磁通量是无理数，则连续谱是Lebesgue测度为零的无界Cantor集。
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 fluxthrough a honeycomb is irrational, the continuous spectrum is an unbounded Cantor set of Lebesgue measure zero.