The theory of electronic structure of disordered networks
- 27 November 1973
- journal article
- Published by IOP Publishing in Journal of Physics C: Solid State Physics
- Vol. 6 (23) , 3413-3429
- https://doi.org/10.1088/0022-3719/6/23/015
Abstract
A study is made of the electronic structure of a network with arbitrary disorder using free-electron and tight-binding models. In the free-electron model, propagator techniques are used to describe the probability distribution of the wavefunction's logarithmic derivative along an arbitrary path in the network. The tight-binding model is developed by analogy to the free-electron model. In both models coupled self-consistent integral equations are found to describe steady-state probability distributions when the effects of closed loops in the network are ignored. A discussion of the equivalence of the two models is given.Keywords
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