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Multifractal analysis of disorder induced metal-insulator transitions

Ulrich Fastenrath, Martin Janβen and Werner Pook

Physica A: Statistical Mechanics and its Applications, 1992, vol. 191, issue 1, 401-405

Abstract: We give a physical picture for the multifractal nature of mesoscopic observables at the disorder induced metal-insulator transition (MIT) and present their scaling laws in terms of normalized observables. We calculate the f(α) spectrum of the Thouless numbers at the MIT point of the lowest Landau band of a quantum Hall system and thereby establish an alternative method to finite size scaling for calculating critical exponents. We conclude that the MIT of a quantum Hall system shows universal one-parameter scaling.

Date: 1992
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:191:y:1992:i:1:p:401-405

DOI: 10.1016/0378-4371(92)90557-7

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