• 文献标题:   Cantor spectrum of graphene in magnetic fields
  • 文献类型:   Article
  • 作  者:   BECKER S, HAN R, JITOMIRSKAYA S
  • 作者关键词:  
  • 出版物名称:   INVENTIONES MATHEMATICAE
  • ISSN:   0020-9910 EI 1432-1297
  • 通讯作者地址:   Univ Cambridge
  • 被引频次:   1
  • DOI:   10.1007/s00222-019-00916-y
  • 出版年:   2019

▎ 摘  要

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\documentclass through a honeycomb is irrational, the continuous spectrum is an unbounded Cantor set of Lebesgue measure zero.