Abstract
For the site dilution model on the hypercubic lattice Zd, d>or=2, the authors examine the density of states for the tight-binding Hamiltonian projected onto the infinite cluster. It is shown that, with probability one, the corresponding integrated density of states is discontinuous on a set of energies which is dense in the band. This result is proved by constructing states supported on finite regions of the infinite cluster, analogous to the Kirkpatrick and Eggarter zero-energy molecular state.
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