Discontinuities of the integrated density of states for random operators on Delone sets

Details Discontinuities of the integrated density of states for random operators on Delone sets Discontinuities of the integrated density of states for random operators on Delone sets

2002-08-18

arxiv.org/abs/math-ph/0208027v1

Physics

Mathematical Physics

9 pages, 2 figures

Scientific paper

10.1007/s00220-003-0920-7

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.

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