{ "id": "cond-mat/9705056", "version": "v1", "published": "1997-05-07T11:06:58.000Z", "updated": "1997-05-07T11:06:58.000Z", "title": "Diffusion and multifractality at the metal-insulator transition", "authors": [ "Bodo Huckestein", "Rochus Klesse" ], "comment": "11 pages (RevTeX), 3 figures, presented at the MINERVA Workshop on Mesoscopics, Fractals and Neural Networks, Eilat, Israel, March 1997", "journal": "Phil. Mag. B 77, 1181 (1998)", "categories": [ "cond-mat.mes-hall", "cond-mat.dis-nn" ], "abstract": "We review the time evolution of wavepackets at the metal-insulator transition in two- and three-dimensional disordered systems. The importance of scale invariance and multifractal eigenfunction fluctuations is stressed. The implications of the frequency- and wavevector-dependence of the diffusion coefficient are compared with the results of numerical simulations. We argue that network models are particularly suited for the investigation of the dynamics of disordered systems.", "revisions": [ { "version": "v1", "updated": "1997-05-07T11:06:58.000Z" } ], "analyses": { "keywords": [ "metal-insulator transition", "multifractality", "multifractal eigenfunction fluctuations", "time evolution", "scale invariance" ], "tags": [ "journal article" ], "note": { "typesetting": "RevTeX", "pages": 11, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "1997cond.mat..5056H" } } }