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One-parameter scaling in the lowest Landau band

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  • Huckestein, Bodo

Abstract

The localization properties of non-interacting electrons in the lowest Landau band of a disordered two-dimensional system are investigated using a new version of the numerical finite-size scaling method. A statistical procedure of data evaluation is presented that allows to estimate the errors of the results and to check quantitatively whether the data are compatible with the scaling relations assumed. In contrast to other suggestions, universal one-parameter scaling behaviour is obtained. The localization length diverges at the centre of the band with a critical exponent v = 2.34±0.04. The critical region is determined to be about half of the bandwidth. Comparison with experimental quantum Hall effect data yields p = 2.0±0.2 for the temperature exponent of the phase breaking time.

Suggested Citation

  • Huckestein, Bodo, 1990. "One-parameter scaling in the lowest Landau band," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 167(1), pages 175-187.
    • Handle: RePEc:eee:phsmap:v:167:y:1990:i:1:p:175-187
    DOI: 10.1016/0378-4371(90)90051-S
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    1. Sundaresan, T.K. & Grab, B. & Uemura, K. & Cvjetanović, B., 1974. "Comparative epidemiological analysis of sanitation and immunization in the control of typhoid and cholera," American Journal of Public Health, American Public Health Association, vol. 64(9), pages 910-912.
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    Cited by:

    1. Peng Deng & Christopher Eckberg & Peng Zhang & Gang Qiu & Eve Emmanouilidou & Gen Yin & Su Kong Chong & Lixuan Tai & Ni Ni & Kang L. Wang, 2022. "Probing the mesoscopic size limit of quantum anomalous Hall insulators," Nature Communications, Nature, vol. 13(1), pages 1-7, December.

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