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Multifractal analysis of disorder induced metal-insulator transitions

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  • Fastenrath, Ulrich
  • Janβen, Martin
  • Pook, Werner

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.

Suggested Citation

  • Fastenrath, Ulrich & Janβen, Martin & Pook, Werner, 1992. "Multifractal analysis of disorder induced metal-insulator transitions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 191(1), pages 401-405.
    • Handle: RePEc:eee:phsmap:v:191:y:1992:i:1:p:401-405
    DOI: 10.1016/0378-4371(92)90557-7
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    3. Peliti, L., 1986. "Effective rigidity of membranes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 140(1), pages 269-277.
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