We discuss the spectral theory of some Hamiltonians which arise in the theory of superconductors. These operators are given by operator valued two-by-two matrices which describe the evolution of both electrons and holes as well as the interaction between them. We investigate the behavior of the density of states of such operators as well as localization properties. This is joint work with Bernd Metzger and Peter Muller.
A seminar from the Classical and Quantum Transport in the Presence of Disorder conference in association with the Newton Institute programme: Mathematics and Physics of Anderson localization: 50 Years After.
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