Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
1998-10-13
Annalen der Physik, 7 (1998) 353
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
10 pages, LaTeX, 8 eps figures included, proceedings PILS98, to be published in Annalen der Physik
Scientific paper
10.1002/(SICI)1521-3889(199811)7
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.
Janssen Martin
Merkt Rainer
Weymer Andreas
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