00-311 Jeffrey H. Schenker, Michael Aizenman
The Creation of Spectral Gaps by Graph Decoration (158K, AMS-LaTeX) Aug 6, 00
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Abstract. We present a mechanism for the creation of gaps in the spectra of self-adjoint operators defined over a Hilbert space of functions on a graph, which is based on the process of graph decoration. The resulting Hamiltonians can be viewed as associated with discrete models exhibiting a repeated local structure and a certain bottleneck in the hopping amplitudes.

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