The quantum $J_1$-$J_1^{\prime }$-$J_2$ spin-1/2 Heisenberg model: Influence of the interchain coupling on the ground-state magnetic ordering in 2D

Abstract

We study the phase diagram of the 2D $J_1$-$J_1^{\prime }$-$J_2$ spin-1/2 Heisenberg model by means of the coupled cluster method. The effect of the coupling $J_1^{\prime }$ on the Neel and stripe states is investigated. We find that the quantum critical points for the Neel and stripe phases increase as the coupling strength $J_1^{\prime }$ is increased, and an intermediate phase emerges above the region at $J_1^{\prime }\approx 0.6$ when $J_1=1$. We find indications for a quantum triple point at $J_1^{\prime }\approx 0.60\pm 0.03$, $J_2\approx 0.33\pm 0.02$ for $J_1=1$.

12 pages, 5 figures. Changed minor contents

References in corpus (6)

• "Deconfined" quantum critical points
• Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
• The J1-J2 model: First order phase transition versus deconfinement of spinons
• Quantum $J_1$--$J_2$ antiferromagnet on the stacked square lattice: Influence of the interlayer coupling on the ground-state magnetic ordering
• Ground-state long-range order in quasi-one-dimensional Heisenberg quantum antiferromagnets: High-order coupled-cluster calculations
• Influence of the spin quantum number $s$ on the zero-temperature phase transition in the square lattice $J$-$J^{\prime }$ model

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