Topological insulators and scattering theory

Gian Michele Graf
Date and time
Conference - DimaScat : Scattering Theory and Spectral Asymptotics of Differential Operators - in Honour of Dimitri Yafaev

Topological insulators are materials, which are conducting at their edges, though not in the bulk. Their characteristic physical properties are reflected by an index, associated to the Hamiltonian. By a general principle, known as bulk-edge duality, the index can be defined either in terms of the bulk or the edge Hamiltonian. Among various ways of establishing that duality as a theorem, one is by scattering theory, and in fact by Levinson's theorem.