The Creation of Spectral Gaps by Graph Decoration

Details The Creation of Spectral Gaps by Graph Decoration The Creation of Spectral Gaps by Graph Decoration

2000-08-04

arxiv.org/abs/math-ph/0008013v1

Lett. Math. Phys. 53 (2000), no. 3, 253

Physics

Mathematical Physics

AMS-LaTeX, 9 pages, 3 figures (eps)

Scientific paper

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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