MURAL - Maynooth University Research Archive Library



    Holomorphic and anti-holomorphic conductivity flows in the quantum Hall effect


    Dolan, Brian P. (2011) Holomorphic and anti-holomorphic conductivity flows in the quantum Hall effect. Journal of Physics A: Mathematical and Theoretical, 44 (17501). pp. 1-11. ISSN 1751-8121

    [img] Download (645kB)


    Share your research

    Twitter Facebook LinkedIn GooglePlus Email more...



    Add this article to your Mendeley library


    Abstract

    It is shown that the flow diagrams for the conductivities in the quantum Hall effect, arising from two ostensibly very different proposals based on modular symmetry, are in fact identical. The β-functions are different, the rate at which the flow lines are traversed are different, but the tangents to the flow lines are the same in both cases, hence the flow diagrams are same in all aspects.

    Item Type: Article
    Keywords: Holomorphic; anti-holomorphic; conductivity flows; quantum Hall effect;
    Academic Unit: Faculty of Science and Engineering > Mathematical Physics
    Item ID: 2608
    Identification Number: https://doi.org/10.1088/1751-8113/44/17/175001
    Depositing User: Dr. Brian Dolan
    Date Deposited: 15 Jul 2011 13:20
    Journal or Publication Title: Journal of Physics A: Mathematical and Theoretical
    Publisher: Institute of Physics Publishing Ltd
    Refereed: No
    URI:
    Use Licence: This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

    Repository Staff Only(login required)

    View Item Item control page

    Downloads

    Downloads per month over past year

    Origin of downloads

    Altmetric
    MURAL - Maynooth University Research Archive Library is powered by EPrints 3 which is developed by the School of Electronics and Computer Science at the University of Southampton. More information and software credits.