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One-parameter Superscaling at the Metal-Insulator Transition in Three Dimensions | | Imre Varga
; Etienne Hofstetter
; Janos Pipek
; | | Date: |
17 Oct 1997 | | Journal: | Phys. Rev. Lett 82, 4683 (1999) | | Subject: | Disordered Systems and Neural Networks | cond-mat.dis-nn | | Affiliation: | 1 and 2), Etienne Hofstetter , Janos Pipek ( Department of Theoretical Physics, Institute of Physics, Technical University of Budapest, Hungary, Fachbereich Physik, Philipps-Universitaet Marburg, Germany Imperial College, London, U.K. | | Abstract: | Based on the spectral statistics obtained in numerical simulations on three dimensional disordered systems within the tight--binding approximation, a new superuniversal scaling relation is presented that allows us to collapse data for the orthogonal, unitary and symplectic symmetry ($eta=1,2,4$) onto a single scaling curve. This relation provides a strong evidence for one-parameter scaling existing in these systems which exhibit a second order phase transition. As a result a possible one-parameter family of spacing distribution functions, $P_g(s)$, is given for each symmetry class $eta$, where $g$ is the dimensionless conductance. | | Source: | arXiv, cond-mat/9710176 | | Services: | Forum | Review | PDF | Favorites | |
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