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) |
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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