Phase diagram of the Heisenberg antiferromagnet with four-spin interactions

Abstract

We study the quantum phase diagram of the Heisenberg planar antiferromagnet with a subset of four-spin ring exchange interactions, using the recently proposed heirarchical mean-field approach. By identifying relevant degrees of freedom, we are able to use a single variational anzatz to map the entire phase diagram of the model and uncover the nature of its various phases. It is shown that there exists a transition between a Néel state and a quantum paramagnetic phase, characterized by broken translational invariance. The non-magnetic phase preserves the lattice rotational symmetry, and has a correlated plaquette nature. Our results also suggest that this phase transition can be properly described within the Landau paradigm.

LaTeX 2e, 7 pages, 8 figures

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• Neel-VBS phase boundary of the extended J_1-J_2 model with biquadratic interaction
• Variational Quantum Simulation of Valence-Bond Solids
• Reply to Comment on "Quantum phase transition in the four-spin exchange antiferromagnet"
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