The criteria for localisation in a model that is suitable for non-interacting electrons in an impurity band is investigated. It is shown that the critical density of impurities nc is given by nca H13/=f(W) where aH is a measure of the range of the overlap integral between impurities, and W the diagonal disorder. The apparent discrepancy in the results of Debney and Economou and Antonio (1977) is shown to be model dependent. It is shown that an increase in W leads to an increase in nc as expected from the results of Fritzsche (1979). The case of nearest-neighbour off-diagonal disorder is one dimension is also treated.
|Original language||English (US)|
|Number of pages||7|
|Journal||Journal of Physics C: Solid State Physics|
|State||Published - 1979|
ASJC Scopus subject areas
- Condensed Matter Physics
- Physics and Astronomy(all)