Tripartite entangled plaquette state in a cluster magnet

Abstract

Using large-scale quantum Monte Carlo simulations we show that a spin-$1/2$ XXZ model on a two-dimensional anisotropic Kagome lattice exhibits a tripartite entangled plaquette state that preserves all of the Hamiltonian symmetries. It is connected via phase boundaries to a ferromagnet and a valence-bond solid that break U(1) and lattice translation symmetries, respectively. We study the phase diagram of the model in detail, in particular the transitions to the tripartite entangled plaquette state, which are consistent with conventional order-disorder transitions. Our results can be interpreted as a description of the charge sector dynamics of a Hubbard model applied to the description of the spin liquid candidate ${\mathrm{LiZn}}_2{\mathrm{Mo}}_3{\mathrm{O}}_8$, as well as a model of strongly correlated bosonic atoms loaded onto highly tunable {\it trimerized} optical Kagome lattices.

10 pages, 10 figures

References in corpus (9)

• Bose-Einstein Condensation in Magnetic Insulators
• The critical exponents of the superfluid transition in He4
• Valence Bond Solids and Their Quantum Melting in Hard-Core Bosons on the Kagome Lattice
• Possible valence-bond condensation in the frustrated cluster magnet LiZn2Mo3O8
• Pinwheel VBS state and triplet excitations in the two-dimensional deformed kagome lattice
• Spin nematics and magnetization plateau transition in anisotropic Kagome magnets
• Self-consistent slave rotor mean field theory for strongly correlated systems
• Superfluid to normal phase transition in strongly correlated bosons in two and three dimensions
• Simulations of Quantum XXZ Models on Two-Dimensional Frustrated Lattices

Cited by in corpus (9)

• Tunable Magnetic Transition to a Singlet Ground State in a 2D Van der Waals Layered Trimerized Kagomé Magnet
• Continuous easy-plane deconfined phase transition on the kagome lattice
• Emergent orbitals in the cluster Mott insulator on a breathing Kagome lattice
• Two-dimensional 5d multiferroic W3Cl8: breathing Kagome lattice and tunable magneto-optical Kerr effect
• Extended Coulomb liquid of paired hardcore boson model on a pyrochlore lattice
• Symmetric spin liquids on the stuffed honeycomb lattice
• Clusterization transition between cluster Mott insulators on a breathing Kagomé lattice
• Fractionally quantized Berry's phase in an anisotropic magnet on the Kagome lattice
• Classical phase diagram of the stuffed honeycomb lattice