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arXiv · 0710.3065

Localization on quantum graphs with random vertex couplings

Frédéric Klopp·Konstantin Pankrashkin
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Abstract

We consider Schrödinger 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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Frédéric Klopp, Konstantin Pankrashkin. 2007-10-16. Localization on quantum graphs with random vertex couplings. https://doi.org/10.1007/s10955-008-9517-z

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