Discontinuities of the integrated density of states for random operators on Delone sets
arXiv:math-ph/0208027 · doi:10.1007/s00220-003-0920-7
Abstract
Despite all the analogies with "usual random" models, tight binding operators for quasicrystals exhibit a feature which clearly distinguishes them from the former: the integrated density of states may be discontinuous. This phenomenon is identified as a local effect, due to occurrence of eigenfunctions with bounded support.
9 pages, 2 figures