ANDERSON LOCALIZATION, BRANCHED POLYMERS AND THE YANG-LEE EDGE SINGULARITY.

Alan Mckane, T. C. Lubensky, A. J. McKane

    Research output: Contribution to journalArticlepeer-review

    Abstract

    It is shown that a recently proposed field-theoretic model of Anderson localization has the same critical behavior as that found in te problem of branched polymers. THus this model in D dimensions is in the same universality class as that studied by Parisi and Sourlas, which includes the Yang-Lee edge singularity in D minus 2 dimensions. It is stressed that critical properties can be studied either at constant order parameter or at constant field and that critical exponents in the two cases are related by a Fisher renormalization. It is noted that constant order parameter exponents diverge at a critical dimension D//c.
    Original languageEnglish
    Pages (from-to)331-334
    Number of pages3
    JournalJournal de physique. Lettres
    Volume42
    Issue number14
    Publication statusPublished - 1 Jan 1981

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