The creation of spectral gaps by graph decoration

Jeffrey H. Schenker, Michael Aizenman

Research output: Contribution to journalArticlepeer-review

38 Scopus citations

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 languageEnglish (US)
Pages (from-to)253-262
Number of pages10
JournalLetters in Mathematical Physics
Volume53
Issue number3
DOIs
StatePublished - 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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