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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 253-262 |
| Number of pages | 10 |
| Journal | Letters in Mathematical Physics |
| Volume | 53 |
| Issue number | 3 |
| DOIs | |
| State | Published - Aug 2000 |
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics
Keywords
- Graph Laplacians
- Graph decoration
- Spectral gaps
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