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.
- Received 28 July 1982
- Published in the issue dated 15 January 1983
© 1983 The American Physical Society