Two-dimensional easy-plane SU(3) magnet with the transverse field: Anisotropy-driven multicriticality

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Abstract

The two-dimensional easy-plane SU(3) magnet subjected to the transverse field was investigated with the exact-diagonalization method. So far, as to the XY model (namely, the easy-plane SU(2) magnet), the transverse-field-driven order-disorder phase boundary has been investigated with the exact-diagonalization method, and it was claimed that the end-point singularity (multicriticality) at the XX-symmetric point does not accord with large-N-theory's prediction. Aiming to reconcile the discrepancy, we extend the internal symmetry to the easy-plane SU(3) with the anisotropy parameter η, which interpolates the isotropic (η = 0) and fully anisotropic (η = 1) cases smoothly. As a preliminary survey, setting η = 1, we analyze the order-disorder phase transition through resorting to the fidelity susceptibility χ F, which exhibits a pronounced signature for the criticality. Thereby, with η scaled carefully, the χ F data are cast into the crossover-scaling formula so as to determine the crossover exponent φ, which seems to reflect the extension of the internal symmetry group to SU(3).

Original languageEnglish
Article number033103
JournalJournal of Statistical Mechanics: Theory and Experiment
Volume2021
Issue number3
DOIs
Publication statusPublished - Mar 2021

Keywords

  • ladders and planes
  • quantum criticality
  • quantum phase transitions
  • spin chains

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Statistics, Probability and Uncertainty

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