Upper critical dimension in the scaling theory of localization

Details Upper critical dimension in the scaling theory of localization Upper critical dimension in the scaling theory of localization

1999-12-09

arxiv.org/abs/cond-mat/9912159v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

Latex, 8 pages, 2 figures

Scientific paper

It is argued that the Thouless number g(L) is not the only parameter relevant
in scale transformations, and that the second parameter connected with
off-diagonal disorder should be introduced. A two-parameter scaling theory is
suggested that explains a phenomenon of the upper critical dimension from the
viewpoint of scaling ideas.

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