Neel-VBS phase boundary of the extended J_1-J_2 model with biquadratic interaction

Abstract

The J_1-J_2 model with the biquadratic (plaquette-four-spin) interaction was simulated with the numerical-diagonalization method. Some limiting cases of this model have been investigated thoroughly. Taking the advantage of the extended parameter space, we survey the phase boundary separating the N'eel and valence-bond-solid phases. According to the deconfined-criticality scenario, the singularity of this phase boundary is continuous, accompanied with unconventional critical indices. Diagonalizing the finite-size cluster with N \le 36 spins, we observe a signature of continuous phase transition. Our tentative estimate for the correlation-length critical exponent is ν=1.1(3). In order to elucidate a non-local character of criticality, we evaluated the Roomany-Wyld βfunction around the critical point.

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Cited by in corpus (5)

• Finite-size scaling and boundary effects in two-dimensional valence-bond-solids
• Quantum phase transitions in multileg spin ladders with ring exchange
• Thermal valence-bond-solid transition of quantum spins in two dimensions
• $XY$-VBS phase boundary for the square-lattice $J_1$-$J_2$ $XXZ$ model with the ring exchange
• Deconfined-critical behavior of the VBS- and nematic-order parameters for the spatially anisotropic S=1-spin model