07-243 Frederic Klopp, Konstantin Pankrashkin

Localization on quantum graphs with random vertex couplings (82K, latex) Oct 16, 07

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Abstract. We consider Schroedinger operators on 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 localization on quantum graphs in terms of finite volume criteria for some energy-dependent discrete Hamiltonians. These conditions hold in the strong disorder limit and at the spectral edges.

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