Abstract
Despite all the analogies with ‘‘usual random’’ models, tight binding operators for quasicrystals exhibit a feature that clearly distinguishes them from the former: the integrated density of states may be discontinuous. This phenomenon is identified as a local effect, due to the occurrence of eigenfunctions with bounded support.
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Communicated by M. Aizenman
Research partly supported by the DFG in the priority program Quasicrystals
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Klassert, S., Lenz, D. & Stollmann, P. Discontinuities of the Integrated Density of States for Random Operators on Delone Sets. Commun. Math. Phys. 241, 235–243 (2003). https://doi.org/10.1007/s00220-003-0920-7
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DOI: https://doi.org/10.1007/s00220-003-0920-7