{
  "id": "2207.10857",
  "version": "v1",
  "published": "2022-07-22T03:27:45.000Z",
  "updated": "2022-07-22T03:27:45.000Z",
  "title": "Critical phenomena around the SU(3) symmetric tri-critical point of a spin-1 chain",
  "authors": [
    "Tohru Mashiko",
    "Kiyohide Nomura"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:2108.01882",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We investigate critical phenomena of a spin-1 chain in the vicinity of the SU(3) symmetric critical point, which we already specified in the previous study. We numerically diagonalize a Hamiltonian combining the bilinear-biquadratic (BLBQ) Hamiltonian with the trimer Hamiltonian. We then discuss the numerical results based on the conformal field theory (CFT) and the renormalization group. As a result, we firstly verify that the critical point found in our previous study is the tri-critical point among the Haldane phase, trimer phase, and the trimer liquid (TL) phase. Secondly, with regard to the TL--trimer transition and TL--Haldane transition, we find that the critical phenomena around this tri-critical point belong to the Berezinskii--Kosterlitz--Thouless (BKT)-like universality class. We thirdly find the boundary between the Haldane phase and the trimer phase, which is illustrated by the massive self-dual sine-Gordon (SDSG) model.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-07-22T03:27:45.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "critical phenomena",
      "symmetric tri-critical point",
      "trimer phase",
      "haldane phase",
      "conformal field theory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}