The electronic structure of a disordered network
- 14 March 1973
- journal article
- Published by IOP Publishing in Journal of Physics C: Solid State Physics
- Vol. 6 (5) , 873-879
- https://doi.org/10.1088/0022-3719/6/5/016
Abstract
A study is made of the electronic structure of a network by adapting the free-electron model. In this model, a tight-binding structure is represented by free electrons constrained to move upon lines joining the bonded atoms of the network. A Boltzmann equation is then derived for the joint probability distribution of the wavefunction and its logarithmic derivative. In the Fokker-Planck approximation this equation reduces to that derived by Halperin for a one-dimensional random white-gaussian noise potential. This model strongly suggests that localization persists in a network long after percolation is possible.Keywords
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