Reducible and irreducible Fermi surfaces for periodic operators

Abstract: I will discuss new theorems concerning reducibility of the Fermi surface for periodic Schrödinger operators. (1) Irreducibility for a class of planar discrete graph operators; (2) Reducibility of multilayer graphs due to compatible asymmetries of the connecting edges; (3) Reducibility of multilayer graphs due to separability or bipartiteness of the layers. Parts of this work are in collaboration with Wei Li, Lee Fisher, Karl-Michael Schmidt, Ian Wood, and Malcolm Brown.

mathematical physics

Audience: researchers in the topic

TAMU: Mathematical Physics and Harmonic Analysis Seminar