Exact evaluation of Green's functions for a class of one-dimensional disordered systems
- 15 January 1983
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 27 (2) , 935-944
- https://doi.org/10.1103/physrevb.27.935
Abstract
A new method for calculating the average of the product of any number of electron Green's functions for a class of one-dimensional models of disordered systems is given. This method is a combination of the "replica trick" and the Feynman expression for the propagator in terms of path integrals. The random potentials may be roughly characterized by saying they have zero range. The Frisch-Lloyd and Gaussian models are important special cases of this method.Keywords
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