S-matrix network models for coherent waves in random media: construction and renormalization
Abstract
Networks of random quantum scatterers (S-matrices) form paradigmatic models for the propagation of coherent waves in random S-matrix network models cover universal localization-delocalization properties and have some advantages over more traditional Hamiltonian models. In particular, a straightforward implementation of real space renormalization techniques is possible. Starting from a finite elementary cell of the S-matrix network, hierarchical network models can be constructed by recursion. The localization-delocalization properties are contained in the flow of the forward scattering strength ('conductance') under increasing system size. With the aid of 'small scale' numerics qualitative aspects of the localization-delocalization properties of S-matrix network models can be worked out.
Cite
@article{arxiv.cond-mat/9810148,
title = {S-matrix network models for coherent waves in random media: construction and renormalization},
author = {Martin Janssen and Rainer Merkt and Andreas Weymer},
journal= {arXiv preprint arXiv:cond-mat/9810148},
year = {2017}
}
Comments
10 pages, LaTeX, 8 eps figures included, proceedings PILS98, to be published in Annalen der Physik