Exact evaluation of Green's functions for a class of one-dimensional disordered systems

Phys. Rev. B 27, 935 – Published 15 January 1983
R. Tao and J. M. Luttinger


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.

DOI: http://dx.doi.org/10.1103/PhysRevB.27.935

  • Received 28 July 1982
  • Published in the issue dated 15 January 1983

© 1983 The American Physical Society

Authors & Affiliations

R. Tao and J. M. Luttinger

  • Department of Physics, Columbia University, New York, New York 10027

References (Subscription Required)

Authorization Required


Download & Share

PDF Export Citing Articles (6)



Log In



Article Lookup
Paste a citation or DOI

Enter a citation
  1. Enter a citation to look up or terms to search.

    Ex: "PRL 112 068103", "Phys. Rev. Lett. 112, 068103", "10.1103/PhysRevLett.112.068103"