Classical Representation of the 1D Anderson Model

Details Classical Representation of the 1D Anderson Model Classical Representation of the 1D Anderson Model

1998-01-22

arxiv.org/abs/cond-mat/9801226v1

Journ. Phys. A, 31 (1998) 5263

Physics

Condensed Matter

Disordered Systems and Neural Networks

10 pages in LaTex

Scientific paper

10.1088/0305-4470/31/23/008

A new approach is applied to the 1D Anderson model by making use of a two-dimensional Hamiltonian map. For a weak disorder this approach allows for a simple derivation of correct expressions for the localization length both at the center and at the edge of the energy band, where standard perturbation theory fails. Approximate analytical expressions for strong disorder are also obtained.

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