Abstract
We study the quantum phase diagram of the Heisenberg planar antiferromagnet with asubset of four-spin ring exchange interactions, using the recently proposed hierarchicalmean-field approach. By identifying relevant degrees of freedom, we are able to usea single variational ansatz to map the entire phase diagram of the model anduncover the nature of its various phases. It is shown that there exists a transitionbetween a Néel state and a quantum paramagnetic phase, characterized by brokentranslational invariance. The non-magnetic phase preserves the lattice rotationalsymmetry, and has a correlated plaquette nature. Our results also suggest thatthis phase transition can be properly described within the Landau paradigm.
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