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Spectral properties of half-periodic materials

David Gontier (CEREMADE, Université Paris-Dauphine)
Monday 23 May 2022 16:15 Zoom
Mathematics Seminar

The spectral properties of Schrödinger operators for periodic systems (crystals) are well-understood, thanks to Bloch-Floquet theory. When such periodic systems are cut in half, an "edge spectrum" can appear. This spectrum describes physical properties appearing at the boundary of the system. In this talk, we present a general framework to study this edge spectrum. We make the connection with topological insulators (and bulk-edge correspondence), and we also prove that, for any material cut with an irrational angle, its edge spectrum fills all the bulk gaps.

To get an invitation to the zoom-meeting, please contact one of the organisers.

Organised by: SQM
Revised: 25.05.2023