Effective quantum dimer model for trimerized kagome antiferromagnet

Abstract

An effective spin-orbit Hamiltonian is derived for a spin-1/2 trimerized kagome antiferromagnet in the second-order of perturbation theory in the ratio of two coupling constants. Low-energy singlet states of the obtained model are mapped to a quantum dimer model on a triangular lattice. The quantum dimer model is dominated by dimer resonances on a few shortest loops of the triangular lattice. Characteristic energy scale for the dimer model constitutes only a small fraction of the weaker exchange coupling constant.

7 pages, 3 figures

References in corpus (12)

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• On bipartite Rokhsar-Kivelson points and Cantor deconfinement
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Cited by in corpus (17)

• Lattice gas description of pyrochlore and checkerboard antiferromagnets in a strong magnetic field
• Nature of the spin liquid ground state in a breathing kagome compound studied by NMR and series expansion
• Identification of an RVB liquid phase in a quantum dimer model with competing kinetic terms
• Dynamics of the quantum dimer model on the triangular lattice: Soft modes and local resonating valence-bond correlations
• Heisenberg antiferromagnet with anisotropic exchange on the Kagome lattice: Description of the magnetic properties of volborthite
• Stability of the spin-$1/2$ kagome ground state with breathing anisotropy
• Multiferroic behavior in trimerized Mott insulators
• The emergence of Resonating Valence Bond physics in spin-orbital models
• Hardcore dimer aspects of the SU(2) Singlet wavefunction
• Phase separation and flux quantization in the doped quantum dimer model on the square and triangular lattices
• Order by disorder and phase transitions in a highly frustrated spin model on the triangular lattice
• Criticality of a classical dimer model on the triangular lattice
• Tailoring Effective Exchange Interactions via Domain Walls in Coupled Heisenberg Rings
• Single hole and vortex excitations in the doped Rokhsar-Kivelson quantum dimer model on the triangular lattice
• Finite-temperature ordering in a two-dimensional highly frustrated spin model
• $Z_3$ topological order in the quantum dimer-pentamer model
• Breathing kagome XY quantum magnet with four-site ring exchange