Statistical properties of localisation--delocalisation transition in one dimension

Details Statistical properties of localisation--delocalisation transition in one dimension Statistical properties of localisation--delocalisation transition in one dimension

1998-06-18

arxiv.org/abs/cond-mat/9806220v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, RevTeX, 1 fig

Scientific paper

10.1103/PhysRevB.59.14848

We study a one-dimensional model of disordered electrons (also relevant for random spin chains), which exhibits a delocalisation transition at half-filling. Exact probability distribution functions for the Wigner time and transmission coefficient are calculated. We identify and distinguish those features of probability densities that are due to rare, trapping configurations of the random potential from those which are due to the proximity to the delocalisation transition.

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