Deconfinement criticality for the spatially anisotropic triangular antiferromagnet with the ring exchange

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 VBS and Neel phases. Suppressing the intermediate phase by applying the ring exchange, we realize a direct VBS-Neel 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 coworkers in the context of the high-temperature superconductivity.

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Cited by in corpus (8)

• Quantum phase transitions in multileg spin ladders with ring exchange
• Spin correlations and phase diagram of the perturbed Kitaev model
• Magnetoelastic study on the frustrated quasi-one-dimensional spin-1/2 magnet LiCuVO${}_4$
• One-dimensional projection of two-dimensional systems using spiral boundary conditions
• Deconfined criticality for the S=1 spin model on the spatially anisotropic triangular lattice
• Neel-VBS phase boundary of the extended J_1-J_2 model with biquadratic interaction
• Deconfined-critical behavior of the VBS- and nematic-order parameters for the spatially anisotropic S=1-spin model
• Two-dimensional transverse-field $XY$ model with the in-plane anisotropy and Dzyaloshinskii-Moriya interaction: Anisotropy-driven transition