Homotopy in statistical physics

Ralph Kenna

    Research output: Contribution to journalArticle

    25 Citations (Scopus)

    Abstract

    In condensed matter physics and related areas, topological defects play important roles in phase transitions and critical phenomena. Homotopy theory facilitates the classification of such topological defects. After a pedagogic introduction to the mathematical methods involved in topology and homotopy theory, the role of the latter in a number of mainly low-dimensional statistical-mechanical systems is outlined. Some recent activities in this area are reviewed and some possible future directions are discussed.
    Original languageEnglish
    Pages (from-to)283-304
    JournalCondensed Matter Physics
    Volume9
    Issue number2(46)
    DOIs
    Publication statusPublished - 2006

    Bibliographical note

    The full text is available from: http://dx.doi.org/10.5488/CMP.9.2.283

    Keywords

    • homotopy
    • phase transitions
    • scaling
    • topological defects

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