Spectral and dynamical properties of Dirac operators for graphene

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Date(s) - 27/02/2019
11 h 00 min - 12 h 00 min


From the physics point of view, it is important to turn semimetallic graphene into a semiconductor. This can be achieved for example by considering graphene antidot lattices (GAL’s) that consists of a periodic array of holes in a graphene sheet. This causes a band gap to open up at the Fermi level.
In this talk, I will present some recent mathematical results on two-dimensional Dirac operators modeling Hamiltonians for GAL’s.
I will mostly focus on two dimensional Dirac operators with periodic mass potentials, as well as their random Anderson-like perturbations describing defects in the array of perforations.

This is joint works with H. Cornean, E. Stockmeyer and S. Zalczer.


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