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    Derivation of the semicircle law from the law of corresponding states


    Burgess, C. P. and Dib, Rim and Dolan, Brian P. (2000) Derivation of the semicircle law from the law of corresponding states. Physical Review B, 62 (15359). ISSN 1098-0121

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    Abstract

    We show that, for the transition between any two quantum Hall states, the semicircle law and the existence of a duality symmetry follow solely from the consistency of the law of corresponding states with the two-dimensional scaling flow. This puts these two effects on a sound theoretical footing, implying that both should hold exactly at zero temperature, independently of the details of the microscopic electron dynamics. This derivation also shows how the experimental evidence favors taking the two-dimensional flow seriously for the whole transition, and not just near the critical points.

    Item Type: Article
    Keywords: Derivation; semicircle law; law of corresponding states; quantum Hall states;
    Academic Unit: Faculty of Science and Engineering > Mathematical Physics
    Item ID: 10494
    Identification Number: https://doi.org/10.1103/PhysRevB.62.15359
    Depositing User: Dr. Brian Dolan
    Date Deposited: 15 Feb 2019 17:28
    Journal or Publication Title: Physical Review B
    Publisher: American Physical Society
    Refereed: Yes
    URI:

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