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Article overview
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S-matrix network models for coherent waves in random media: construction and renormalization | | Martin Janssen
; Rainer Merkt
; Andreas Weymer
; | | Date: |
13 Oct 1998 | | Journal: | Annalen der Physik, 7 (1998) 353 | | Subject: | Mesoscopic Systems and Quantum Hall Effect | cond-mat.mes-hall | | Affiliation: | University of Cologne | | 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. | | Source: | arXiv, cond-mat/9810148 | | Services: | Forum | Review | PDF | Favorites | |
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