- 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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SpectralGaps.tex ,
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example2.eps ,
gamma.eps )