Quantum magnetism of the spin-1 kagome-lattice antiferromagnet
Abstract
We investigate the spin-1 kagome-lattice Heisenberg antiferromagnet using large-scale Lanczos diagonalization and the finite-temperature Lanczos method. The zero-temperature magnetization process exhibits plateaus at m=0, 1/3, 7/9, and 8/9, where m is the normalized magnetization. The m=0 plateau is identified as a trimer valence-bond-crystal state, while the high-field plateaus at m=7/9 and 8/9 are identified as magnon crystals. In particular, the m=8/9 plateau corresponds to the exact localized-magnon crystal state. A smoothed zero-temperature magnetization curve constructed using the Gaussian-kernel smoothing method indicates magnetization jumps at the lower-field edge of the m=1/3 plateau and at the upper-field edges of the m=7/9 and 8/9 plateaus. At finite temperatures, the specific heat exhibits a double-peak structure with peaks around T/J≃0.1 and T/J≃1.1, and the low-temperature peak may be related to trimer valence-bond-crystal ordering. The finite-temperature magnetization curves show that the m=1/3 plateau remains visible at low temperatures, whereas the high-field plateaus are rapidly smeared out by thermal effects. These results provide benchmark data for thermodynamic and high-field magnetization measurements in candidate spin-1 kagome-lattice materials.
Versions
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BibTeX
@misc{morita2026quantum,
title = {{Quantum magnetism of the spin-1 kagome-lattice antiferromagnet}},
author = {Katsuhiro Morita},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2607.03086},
eprint = {2607.03086},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2607.03086},
}
RIS
TY - UNPB
TI - Quantum magnetism of the spin-1 kagome-lattice antiferromagnet
AU - Katsuhiro Morita
PY - 2026
DA - 2026/09/19
PB - arXiv
DO - 10.48550/arxiv.2607.03086
UR - https://arxiv.org/abs/2607.03086
AB - We investigate the spin-1 kagome-lattice Heisenberg antiferromagnet using large-scale Lanczos diagonalization and the finite-temperature Lanczos method. The zero-temperature magnetization process exhibits plateaus at m=0, 1/3, 7/9, and 8/9, where m is the normalized magnetization. The m=0 plateau is identified as a trimer valence-bond-crystal state, while the high-field plateaus at m=7/9 and 8/9 are identified as magnon crystals. In particular, the m=8/9 plateau corresponds to the exact localized-magnon crystal state. A smoothed zero-temperature magnetization curve constructed using the Gaussian-kernel smoothing method indicates magnetization jumps at the lower-field edge of the m=1/3 plateau and at the upper-field edges of the m=7/9 and 8/9 plateaus. At finite temperatures, the specific heat exhibits a double-peak structure with peaks around T/J≃0.1 and T/J≃1.1, and the low-temperature peak may be related to trimer valence-bond-crystal ordering. The finite-temperature magnetization curves show that the m=1/3 plateau remains visible at low temperatures, whereas the high-field plateaus are rapidly smeared out by thermal effects. These results provide benchmark data for thermodynamic and high-field magnetization measurements in candidate spin-1 kagome-lattice materials.
ER -