Spontaneous trimerization in two-dimensional Antiferromagnets
arXiv:0809.1323 · doi:10.1088/0953-8984/21/45/456009
Abstract
In this paper, we propose a novel quantum paramagnetic state in two-dimensional antiferromagnets: the spontaneously trimer state, which is constructed by the trimers of spins. Each trimer is a singlet state formed by three neighboring spins with SU(3) symmetry. A frustrated spin-1 Heisenberg model in the kagome lattice is investigated. By analogy to the pseudo-potential approach in the fractional quantum Hall effect (FQHE), we find that the trimer state provides a perfect description for the exact ground state of this model. Other interesting properties, such as the local excitations as well as magnetization plateaus have also been investigated. It is shown that this novel state would deepen our understanding of the nature of the many-body entanglement in the two-dimensional strong correlated systems.
6 pages, 5 figures
References in corpus (12)
- Competing Magnetic Phases on a "Kagome Staircase"
- Valence bond solids for SU(n) spin chains: exact models, spinon confinement, and the Haldane gap
- Exact results for SU(3) spin chains: trimer states, valence bond solids, and their parent Hamiltonians
- Simplex solid states of SU(N) quantum antiferromagnets
- Exact spontaneous plaquette ground states for high-spin ladder models
- Phase diagram of the frustrated, spatially anisotropic S=1 antiferromagnet on a square lattice
- Global phase diagram of the spin-1 antiferromagnet with uniaxial anisotropy on the kagome lattice
- One-dimensional spin pyrochlore lattice: exact ground state and elementary excitations
- Geometric criticality between plaquette phases in integer-spin kagome XXZ antiferromagnets
- A mean field approach for string condensed states
- 2D Multipartite Valence Bond States in Quantum Antiferromagnets
- Two-dimensional spin-1 frustrated Heisenberg model with valence-bond ground states
Cited by in corpus (11)
- Simplex valence-bond crystal in the spin-1 kagome Heisenberg antiferromagnet
- Trimerized ground state of the spin-1 Heisenberg antiferromagnet on the kagome lattice
- Nematic and supernematic phases in Kagome quantum antiferromagnets under a magnetic field
- Topology and Criticality in Resonating Affleck-Kennedy-Lieb-Tasaki loop Spin Liquid States
- Non-Symmetry-Breaking Ground State of the S=1 Heisenberg Model on the Kagome lattice
- Hexagon-singlet solid ansatz for the spin-1 kagome antiferromagnet
- Heisenberg antiferromagnet on the Husimi lattice
- Plaquette-triplon analysis of magnetic disorder and order in a trimerized spin-1 Kagomé antiferromagnet
- Non-perturbative linked-cluster expansions for the trimerized ground state of the spin-one Kagome Heisenberg model
- Exact ground states for coupled spin trimers
- Abelian and non-Abelian quantum spin liquids in a three-component Bose gas on optical Kagome lattices