Critical phenomena around the SU(3) symmetric tricritical point of a spin-1 chain

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Description

We investigate critical phenomena of a spin-1 chain in the vicinity of the SU(3) symmetric critical point, which we already specified in a previous study [Mashiko and Nomura, Phys. Rev. B 104, 155405 (2021)]. We numerically diagonalize a Hamiltonian combining the bilinear-biquadratic Hamiltonian with the trimer Hamiltonian. We then discuss the numerical results based on the conformal field theory and the renormalization group. As a result, we first verify that the critical point found in our previous study is the tricritical point among the Haldane phase, the trimer phase, and the the trimer-liquid (TL) phase. Second, with regard to the TL-trimer transition and the TL-Haldane transition, we find that the critical phenomena around this tricritical point belong to the Berezinskii-Kosterlitz-Thouless-like universality class. Third, we find the boundary between the Haldane phase and the trimer phase, which is illustrated by the massive self-dual sine-Gordon model.

Journal

  • Physical Review B

    Physical Review B 107 125406-, 2023-05-07

    American Physical Society

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Details 詳細情報について

  • CRID
    1050861482656655488
  • NII Book ID
    AA11187113
  • ISSN
    24699969
    24699950
  • HANDLE
    2324/6790311
  • Text Lang
    en
  • Article Type
    journal article
  • Data Source
    • IRDB
    • OpenAIRE

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