Ground state and low-lying excitations of the spin-1/2 XXZ model on the kagome lattice at magnetization 1/3

Abstract

We study the ground state and low-lying excitations of the S=1/2 XXZ antiferromagnet on the kagome lattice at magnetization one third of the saturation. An exponential number of non-magnetic states is found below a magnetic gap. The non-magnetic excitations also have a gap above the ground state, but it is much smaller than the magnetic gap. This ground state corresponds to an ordered pattern with resonances in one third of the hexagons. The spin-spin correlation function is short ranged, but there is long-range order of valence-bond crystal type.

arXiv comment2 pages, 1 figure included, to appear in Physica B (proceedings of SCES'04)

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• Two-dimensional periodic frustrated Ising models in a transverse field
• The phase diagram of the hexagonal lattice quantum dimer model
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Cited by in corpus (6)

• Numerical study of magnetization plateaux in the spin-1/2 kagome Heisenberg antiferromagnet
• Magnetism of the N=42 kagome lattice antiferromagnet
• Asymmetric melting of one-third plateau in kagome quantum antiferromagnets
• Melting of magnetization plateaus for kagome and square-kagome lattice antiferromagnets
• Order by disorder and phase transitions in a highly frustrated spin model on the triangular lattice
• Magnetization process and ordering of the $S=1/2$ pyrochlore magnet in a field