Classical phase diagram of the stuffed honeycomb lattice
arXiv:1805.09831 · doi:10.1103/PhysRevB.98.134419
Abstract
We investigate the classical phase diagram of the stuffed honeycomb Heisenberg lattice, which consists of a honeycomb lattice with a superimposed triangular lattice formed by sites at the center of each hexagon. This lattice encompasses and interpolates between the honeycomb, triangular and dice lattices, preserving the hexagonal symmetry while expanding the phase space for potential spin liquids. We use a combination of iterative minimization, classical Monte Carlo and analytical techniques to determine the complete ground state phase diagram. It is quite rich, with a variety of non-coplanar and non-collinear phases not found in the previously studied limits. In particular, our analysis reveals the triangular lattice critical point to be a multicritical point with two new phases vanishing via second order transitions at the critical point. We analyze these phases within linear spin wave theory and discuss consequences for the S = 1/2 spin liquid.
arXiv comment18 pages, 23 figures
References in corpus (47)
- Anomalous Hall effect
- Spin Liquid Ground State of the Kagome Heisenberg Model
- Fractionalized excitations in the spin liquid state of a kagomé lattice antiferromagnet
- Spin Liquid State in an Organic Mott Insulator with Triangular Lattice
- Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
- Spin Dynamics of the Spin-1/2 Kagome Lattice Antiferromagnet ZnCu_3(OH)_6Cl_2
- Scalar spin chirality and quantum Hall effect on a triangular lattice
- Spin liquid nature in the Heisenberg - triangular antiferromagnet
- Spin liquid phase of the Heisenberg model on the triangular lattice
- Emergent Chiral Spin Liquid: Fractional Quantum Hall Effect in a Kagome Heisenberg Model
- Competing Spin Liquid States in the Spin- Heisenberg Model On Triangular Lattice
- Phase Diagram of a Frustrated Quantum Antiferromagnet on the Honeycomb Lattice: Magnetic Order versus Valence-Bond Crystal formation
- The kagome antiferromagnet: a chiral topological spin liquid ?
- Global Phase Diagram of Competing Ordered and Quantum Spin Liquid Phases on the Kagomé Lattice
- Possible valence-bond condensation in the frustrated cluster magnet LiZn2Mo3O8
- Nature of the spin liquid state of the Hubbard model on honeycomb lattice
- Chiral Spin Liquid and Quantum Criticality in Extended Heisenberg Models on the Triangular Lattice
- Phase diagram of spin-1/2 J1-J2 Heisenberg model on honeycomb lattice
- Weak plaquette valence bond order in the honeycomb Heisenberg model
- Deconfined criticality in the frustrated Heisenberg honeycomb antiferromagnet
- Global phase diagram and quantum spin liquids in spin-1/2 triangular antiferromagnet
- Novel spin-liquid states in the frustrated Heisenberg antiferromagnet on the honeycomb lattice
- Nature of chiral spin liquids on the kagome lattice
- Quasiclassical magnetic order and its loss in a spin-1/2 Heisenberg antiferromagnet on a triangular lattice with competing bonds
- Time-reversal-symmetry-breaking chiral spin liquids: a projective symmetry group approach of bosonic mean-field theories
- Molecular Quantum Magnetism in LiZn2Mo3O8
- Variational Monte Carlo study of chiral spin liquid in the extended Heisenberg model on the Kagome lattice
- spin liquid and chiral antiferromagnetic phase in Hubbard model on the honeycomb lattice: duality between Schwinger-fermion and Schwinger-boson representations
- Spin liquids on a honeycomb lattice: Projective Symmetry Group study of Schwinger fermion mean-field theory
- Symmetry fractionalization in the topological phase of the spin- - triangular Heisenberg model
- Quantum spin fluctuations in the dipolar Heisenberg-like rare earth pyrochlores
- Variational Monte Carlo study of chiral spin liquid in quantum antiferromagnet on the triangular lattice
- Local magnetism and spin correlations in the geometrically frustrated cluster magnet LiZnMoO
- Emergent honeycomb lattice in LiZn2Mo3O8
- Competition between spin liquids and valence-bond order in the frustrated spin- Heisenberg model on the honeycomb lattice
- Cluster Mott insulators and two Curie-Weiss regimes on an anisotropic Kagome lattice
- Detection and characterization of symmetry-broken long-range orders in the spin- triangular Heisenberg model
- Emergent orbitals in the cluster Mott insulator on a breathing Kagome lattice
- Tunable quantum spin liquidity in the 1/6th-filled breathing kagome lattice
- Spin-current order in anisotropic triangular antiferromagnets
- Ferrimagnetism in the Spin-1/2 Heisenberg Antiferromagnet on a Distorted Triangular Lattice
- Emergent Critical Phase and Ricci Flow in a 2D Frustrated Heisenberg Model
- Tripartite entangled plaquette state in a cluster magnet
- Electronic tunability of the frustrated triangular-lattice cluster magnet LiZnMoO
- Emergent Criticality and Friedan Scaling in a 2D Frustrated Heisenberg Antiferromagnet
- Emergent Power-Law Phase in the 2D Heisenberg Windmill Antiferromagnet: A Computational Experiment
- Classical Heisenberg and planar spin models on the windmill lattice
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