Chiral phases of two-dimensional hard-core bosons with frustrated ring-exchange

Abstract

We study the zero temperature phase diagram of two-dimensional hard-core bosons on a square lattice with nearest neighbour and plaquette (ring-exchange) hoppings, at arbitrary densities, by means of a hierarchical mean-field theory. In the frustrated regime, where quantum Monte Carlo suffers from a sign problem, we find a rich phase diagram where exotic states with nonzero chirality emerge. Among them, novel insulating phases, characterized by nonzero bond-chirality and plaquette order, are found over a large region of the parameter space. In the unfrustrated regime, the hierarchical mean-field approach improves over the standard mean-field treatment as it is able to capture the transition from a superfluid to a valence bond state upon increasing the strength of the ring-exchange term, in qualitative agreement with quantum Monte Carlo results.

References in corpus (7)

• Evidence for deconfined quantum criticality in a two-dimensional Heisenberg model with four-spin interactions
• Atomic quantum simulator for lattice gauge theories and ring exchange models
• Autocorrelations and Thermal Fragility of Anyonic Loops in Topologically Quantum Ordered Systems
• Hierarchical mean-field approach to the $J_1$-$J_2$ Heisenberg model on a square lattice
• Quantum phases of hardcore bosons with long-range interactions on a square lattice
• Composite Boson Mapping for Lattice Boson Systems
• Possible realization of the Exciton Bose Liquid phase in a hard-core boson model with ring-only exchange interactions

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• Bose-Hubbard realization of fracton defects
• Metamagnetism and zero-scale-factor universality in the two-dimensional $J$-$Q$ model
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• Topological chiral currents in the Gross-Neveu model extension
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• Variational Quantum Simulation of Valence-Bond Solids
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• Twisted superfluid and supersolid phases of triplons in bilayer honeycomb magnets
• Simulation of the Ring-exchange Models with Projected Entangled Pair States
• $XY$-VBS phase boundary for the square-lattice $J_1$-$J_2$ $XXZ$ model with the ring exchange