Cantor spectrum of graphene in magnetic fields

HIGHLIGHTS

  • who: Simon Becker from the DAMTP, University of Cambridge, Wilberforce Rd, Cambridge , WA, UK have published the research: Cantor spectrum of graphene in magnetic fields, in the Journal: (JOURNAL)
  • what: The authors show that if the reduced magnetic flux /2π through a honeycomb is irrational the continuous spectrum is an unbounded Cantor set of Lebesgue measure zero. The aim of this paper is to provide for the first time an analysis of the spectrum of honeycomb structures in magnetic_fields with constant flux. The analysis provides full description of the spectrum of the tight-binding Hamiltonian . . .

     

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