Emergent honeycomb lattice in LiZn2Mo3O8

Abstract

We introduce the idea of emergent lattices, where a simple lattice decouples into two weakly-coupled lattices as a way to stabilize spin liquids. In LiZn2Mo3O8, the disappearance of 2/3rds of the spins at low temperatures suggests that its triangular lattice decouples into an emergent honeycomb lattice weakly coupled to the remaining spins, and we suggest several ways to test this proposal. We show that these orphan spins act to stabilize the spin-liquid in the $J_1-J_2$ honeycomb model and also discuss a possible 3D analogue, Ba2MoYO6 that may form a "depleted fcc lattice."

5 pages, 2 figures

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• Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
• Spin Dynamics of the Spin-1/2 Kagome Lattice Antiferromagnet ZnCu_3(OH)_6Cl_2
• Quantum spin-liquid emerging in two-dimensional correlated Dirac fermions
• Absence of a Spin Liquid Phase in the Hubbard Model on the Honeycomb Lattice
• Possible valence-bond condensation in the frustrated cluster magnet LiZn2Mo3O8
• Weak plaquette valence bond order in the $S=1/2$ honeycomb $J_1-J_2$ Heisenberg model
• Resonating plaquette phases in large spin cold atom systems
• Spin liquids on a honeycomb lattice: Projective Symmetry Group study of Schwinger fermion mean-field theory
• $Z_2$ spin liquid and chiral antiferromagnetic phase in Hubbard model on the honeycomb lattice: duality between Schwinger-fermion and Schwinger-boson representations
• Resonating singlet valence plaquettes

Cited by in corpus (34)

• The Chemistry of Quantum Spin Liquids
• Scaling and data collapse from local moments in frustrated disordered quantum spin systems
• Projective symmetry group classification of chiral spin liquids
• Molecular Quantum Magnetism in LiZn2Mo3O8
• Rearrangement of Van-der-Waals Stacking and Formation of a Singlet State at $T=90$ K in a Cluster Magnet
• Local magnetism and spin correlations in the geometrically frustrated cluster magnet LiZn${}_2$Mo${}_3$O${}_8$
• Competition between spin liquids and valence-bond order in the frustrated spin-$1/2$ Heisenberg model on the honeycomb lattice
• Cluster Mott insulators and two Curie-Weiss regimes on an anisotropic Kagome lattice
• Quantum phase diagram of the spin-$1$ $J_1-J_2$ Heisenberg model on the honeycomb lattice
• CaMn${}_2$Sb${}_2$: Spin waves on a frustrated antiferromagnetic honeycomb lattice
• Emergent orbitals in the cluster Mott insulator on a breathing Kagome lattice
• Field-induced dynamical properties of the $XXZ$ model on a honeycomb lattice
• Tunable quantum spin liquidity in the 1/6th-filled breathing kagome lattice
• Quantum spin liquid and cluster Mott insulator phases in the Mo${}_3$O${}_8$ magnets
• Unconventional magnetism in the spin-orbit driven Mott insulators Ba3MIr2O9 (M=Sc,Y)
• Emergent Chiral Spin State in the Mott Phase of a Bosonic Kane-Mele-Hubbard Model
• Tripartite entangled plaquette state in a cluster magnet
• Electronic tunability of the frustrated triangular-lattice cluster magnet LiZn${}_{2-x}$Mo${}_3$O${}_8$
• Quantum magnetisms in uniform triangular lattices Li2AMo3O8 (A = In, Sc)
• Theory of partial quantum disorder in the stuffed honeycomb Heisenberg antiferromagnet
• Orphan spins and bound in-gap states in the $S=\frac{5}{2}$ antiferromagnet CaFe${}_2$O${}_4$
• Correlated partial disorder in a weakly frustrated quantum antiferromagnet
• Symmetric spin liquids on the stuffed honeycomb lattice
• Controlling the stoichiometry of the triangular lattice antiferromagnet Li${}_{1+x}$Zn${}_{2-y}$Mo${}_3$O${}_8$
• Classical phase diagram of the stuffed honeycomb lattice
• Reentrance of Topological Phase in Spin-1 Frustrated Heisenberg Chain
• Molecular Orbital Electronic Instability in the van der Waals Kagome Semiconductor Nb${}_3$Cl${}_8$: Exploring Future Directions
• Classical Heisenberg and planar spin models on the windmill lattice
• Exotic topological point and line nodes in the plaquette excitations of a frustrated Heisenberg antiferromagnet on the honeycomb lattice
• Non-trivial Topological Phases on the Stuffed Honeycomb Lattice
• Partially disordered Heisenberg antiferromagnet with short-range stripe correlations
• Impact of Oxidation State on the Valence-bond-glass Physics in the lithium-intercalated Mo${}_3$O${}_8$ Cluster Mott Insulators
• Novel Quantum Spin Liquid States in the $S=\frac{1}{2}$ Three-Dimensional Compound Y${}_3$Cu${}_2$Sb${}_3$O${}_{14}$
• Magnetic ordering of the Mo${}_3$O${}_8$-type cluster Mott insulator Na${}_3$Sc${}_2$(MoO${}_4$)${}_2$Mo${}_3$O${}_8$ with spin-1/2 triangular lattice prepared via optimal synthesis