Deconfinement criticality in the spatially anisotropic triangular antiferromagnet with ring exchange

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Abstract

The spatially anisotropic triangular antiferromagnet is investigated with the numerical diagonalization method. As the anisotropy varies, the model changes into a variety of systems such as the one-dimensional, triangular, and square-lattice antiferromagnets. Taking into account such a geometrical character, we impose the screw-boundary condition, which interpolates smoothly the one- and two-dimensional lattice structures. Diagonalizing the finite clusters with N=16,20,...,32 spins, we observe an intermediate phase between the valence-bond solid (VBS) and Néel phases. Suppressing the intermediate phase by applying the ring exchange, we realize a direct VBS-Néel transition. The simulation data indicate that the transition is a continuous one with the correlation-length critical exponent ν=0.80 (15). These features are in agreement with the deconfinement-criticality scenario advocated by Senthil and co-workers in the context of the high-temperature superconductivity.

Original languageEnglish
Article number054425
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume79
Issue number5
DOIs
Publication statusPublished - Feb 20 2009

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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