Mathematical Models for Transport in Macroscopic and Mesoscopic Systems - Abstract

Pankrashkin, Konstantin

Localization on quantum graphs with random couplings

We study a class of periodic quantum graphs with randomly distributed Kirchhoff coupling constants at all vertices. Using the technique of self-adjoint extensions we obtain conditions for spectral and dynamical localization in terms of finite volume criteria (Aizenman--Molchanov method) for some energy-dependent discrete Hamiltonians.