On the density of states for the quantum percolation problem

  title={On the density of states for the quantum percolation problem},
  author={J T Chayest and L ChayestP and Judy R FranztII and James P Sethnatll and Anna T Trugman},
For the site dilution model on the hypercubic lattice Zd, d b 2, we 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. The… CONTINUE READING
Highly Cited
This paper has 18 citations. REVIEW CITATIONS

From This Paper

Figures, tables, and topics from this paper.


Publications referenced by this paper.
Showing 1-3 of 3 references

Les Houches Session XLIII 1984: Critical Phenomena, Random Systems and Gauge Theories

T Spencer
View 5 Excerpts
Highly Influenced

Percolation Theory for Mathematicians (Boston: Birkhauser

H Kesten
View 2 Excerpts

1986b in preparation

M Aizenman, H Kesten, C MNewman
Akcoglu M and Krengel J 1981 J. Reine. Angew. Math • 1958

Similar Papers

Loading similar papers…