Towards a simulation of disordered systems with interactions

We consider the problem of Anderson localization in disordered systems with interactions. We present a numerical approach in quasi-one-dimensional (quasi-1D) systems which combines aspects of the transfer matrix and Green's function recursion methods with the density matrix renormalization grou...

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Bibliographic Details
Published in:Journal of physics. Condensed matter 2008-07, Vol.20 (30), p.304212-304212 (6)
Main Author: MacKinnon, Angus
Format: Article
Language:English
Subjects:
Condensed matter: electronic structure, electrical, magnetic, and optical properties
Electronic structure and electrical properties of surfaces, interfaces, thin films and low-dimensional structures
Exact sciences and technology
Localization effects (anderson or weak localization)
Physics
Surface and interface electron states
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Summary:We consider the problem of Anderson localization in disordered systems with interactions. We present a numerical approach in quasi-one-dimensional (quasi-1D) systems which combines aspects of the transfer matrix and Green's function recursion methods with the density matrix renormalization group. The method is applied to spinless fermions in 1D and a generalization to finite cross-sections is outlined.
ISSN:0953-8984
1361-648X
DOI:10.1088/0953-8984/20/30/304212