Abstract
We give an elementary proof that for a large class ofd-dimensional finite difference operators including tight-binding models for electron propagation and models for harmonic phonons with random masses or couplings, the integrated density of states is a continuous function of the energy.
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Craig, W., Simon, B.: Log Hölder continuity of the integrated density of states for stochastic Jacobi matrices. Commun. Math. Phys.90, 207–218 (1983)
We are glad to thank here M. Kac for this remark
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Communicated by B. Simon
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Delyon, F., Souillard, B. Remark on the continuity of the density of states of ergodic finite difference operators. Commun.Math. Phys. 94, 289–291 (1984). https://doi.org/10.1007/BF01209306
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DOI: https://doi.org/10.1007/BF01209306