Off-diagonal disorder on square and cubic lattices
- 20 September 1982
- journal article
- Published by IOP Publishing in Journal of Physics C: Solid State Physics
- Vol. 15 (26) , 5393-5398
- https://doi.org/10.1088/0022-3719/15/26/018
Abstract
The density of states and inverse participation ratios have been obtained numerically by directly diagonalising the tight-binding Hamiltonian on the square and cubic lattices with Gaussian randomness in the off-diagonal elements. The density of states, which has a singularity at the band centre, is well approximated in both dimensions by the loop expansion of Oppermann and Wegner (1979) taken to one-loop order. All the eigenvectors appear to be localised in two dimensions.Keywords
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