Department of Mathematics

Mathematical Physics and Operator Algebras

  •  Rui Han , Louisiana State University
  •  Spectral gaps in graphene structures
  •  04/12/2021
  •  2:00 PM - 3:00 PM
  •  Online (virtual meeting) (Virtual Meeting Link)
  •  Jeffrey Hudson Schenker (schenke6@msu.edu)

We will present a full spectral analysis for a model of graphene in magnetic fields with constant flux through every hexagonal comb. In particular, we provide a rigorous foundation for self-similarity by showing that for any irrational flux, the spectrum of graphene is a zero measure Cantor set. I will also discuss the spectral decomposition, Hausdorff dimension of the spectrum and existence of Dirac cones. This talk is based on joint works with S. Becker and S. Jitomirskaya.

 

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Department of Mathematics
Michigan State University
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C212 Wells Hall
East Lansing, MI 48824

Phone: (517) 353-0844
Fax: (517) 432-1562

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