Analysis and Applied Mathematics Seminar
Radu Purice
IMAR, Bucharest
Peirl's substitution at the bottom of the spectrum in the absence of Wannier functions
Abstract: Consider a periodic Schrödinger operator in two dimensions, perturbed by a weak magnetic fi eld whose intensity
slowly varies in space. We show in great generality that the bottom of the spectrum of the corresponding
magnetic Schrödinger operator develops spectral islands separated by gaps, reminicent of a Landau-level
structure.
Monday April 8, 2019 at 4:00 PM in 636 SEO