Seminar

Eigenvalue Estimates for Bilayer Graphene

Spectral Methods in Mathematical Physics

02 April 15:30 - 16:30

Jean-Claude Cuenin - LMU Ludwig-Maximilians-Universität München

TIME CHANGE

Recently, Ferrulli-Laptev-Safronov proved eigenvalue estimates for an operator associated to bilayer graphene in terms of L^q norms of the (possibly non-selfadjoint) potential. They proved that for 1 < q < 4/3 all non-embedded eigenvalues lie near the edges of the spectrum of the free operator. In this note we prove this for the larger range 1 ≤ q ≤ 3/2. The latter is optimal if embedded eigenvalues are also considered.
We prove similar estimates for a modified bilayer operator with so-called “trigonal warping” term. Here, the range for q is smaller since the Fermi surface has less curvature.
Organizers
Søren Fournais
Aarhus University
Rupert Frank
LMU Munich
Benjamin Schlein
University of Zurich, UZH
Simone Warzel
TU Munich

Program
Contact

Rupert Frank

frank@math.lmu.de

Other
information

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