Energy spectrum and critical exponents of the free parafermion Z N spin chain

Francisco C. Alcaraz, Murray T. Batchelor, Zi Zhong Liu

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    11 Citations (Scopus)

    Abstract

    Results are given for the ground state energy and excitation spectrum of a simple N-state Z N spin chain described by free parafermions. The model is non-Hermitian for with a real ground state energy and a complex excitation spectrum. Although having a simpler Hamiltonian than the superintegrable chiral Potts model, the model is seen to share some properties with it, e.g. the specific heat exponent and the anisotropic correlation length exponents and .

    Original languageEnglish
    Article number16LT03
    JournalJournal of Physics A: Mathematical and Theoretical
    Volume50
    Issue number16
    DOIs
    Publication statusPublished - 20 Mar 2017

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