MURAL - Maynooth University Research Archive Library



    The Modular and Renormalisation Groups in the Quantum Hall Effect


    Dolan, Brian P. (1998) The Modular and Renormalisation Groups in the Quantum Hall Effect. Working Paper. arXiv.org.

    [img]
    Preview
    Download (646kB) | Preview
    Official URL: http://arxiv.org/abs/hep-th/9811218


    Share your research

    Twitter Facebook LinkedIn GooglePlus Email more...



    Add this article to your Mendeley library


    Abstract

    An analytic form for the crossover of the conductivity tensor between two Hall plateaux, as a function of the external magnetic field, is proposed. The form of the crossover is obtained from the action of a symmetry group, a particular subgroup of the modular group, on the upper-half complex conductivity plane, by assuming that the β-function describing the crossover is a holomorphic function of the conductivity. The group action also leads to a selection rule, |p1q2−p2q1| = 1, for allowed transitions between Hall plateaux with filling factors ѵ1 = p1/q1 and ѵ2 = p2/q2, where q1 and q2 are odd.

    Item Type: Monograph (Working Paper)
    Additional Information: Talk presented at the Workshop on the Exact Renormalisation Group, Faro, Portugal, 10-12th September, 1998.
    Keywords: Modular; Renormalisation Groups; Quantum Hall Effect;
    Academic Unit: Faculty of Science and Engineering > Mathematical Physics
    Item ID: 5932
    Identification Number: arXiv:hep-th/9811218
    Depositing User: Dr. Brian Dolan
    Date Deposited: 03 Mar 2015 15:36
    Publisher: arXiv.org
    Refereed: Yes
    URI:

      Repository Staff Only(login required)

      View Item Item control page

      Downloads

      Downloads per month over past year