The critical exponent of the localization length at the Anderson transition in 3D disordered systems is larger than 1

Simple item page
dc.creatorCain, P.
dc.creatorNdawana, M. L.
dc.creatorRömer, R. A.
dc.creatorSchreiber, M.
dc.date2001-06-01
dc.date.accessioned2026-07-07T02:41:37Z
dc.date.available2026-07-07T02:41:37Z
dc.descriptionIn a recent communication to the cond-mat archives, Suslov [cond-mat/0105325] severely criticizes a multitude of numerical results obtained by various groups for the critical exponent $ν$ of the localization length at the disorder-induced metal-insulator transition in the three-dimensional Anderson model of localization as ``entirely absurd'' and ``evident desinformation''. These claims are based on the observation that there still is a large disagreement between analytical, numerical and experimental results for the critical exponent. The author proposes, based on a ``simple procedure to deal with corrections to scaling'', that the numerical data support nu approx 1, whereas recent numerical papers find nu = 1.58 +/- 0.06. As we show here, these claims are entirely wrong. The proposed scheme does neither yield any improved accuracy when compared to the existing finite-size scaling methods, nor does it give nu approx 1 when applied to high-precision data. Rather, high-precision numerics with error epsilon approx 0.1% together with all available finite-size-scaling methods evidently produce a critical exponent nu approx 1.58.
dc.description2 RevTeX pages, 1 figure
dc.identifierhttps://arxiv.org/abs/cond-mat/0106005
dc.identifierhttp://arxiv.org/abs/cond-mat/0106005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/17814
dc.subjectDisordered Systems and Neural Networks
dc.subjectMesoscale and Nanoscale Physics
dc.titleThe critical exponent of the localization length at the Anderson transition in 3D disordered systems is larger than 1
dc.typetext

Files

Collections

arXiv