Nature of the 1/3 Magnetization Plateau in Spin-1/2 Kagome Antiferromagnets

Fuente: arXiv
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Autori principali: He, Li-Wei, Wang, Xinzhe, Yu, Shun-Li, Li, Jian-Xin
Natura: Preprint
Pubblicazione: 2025
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author He, Li-Wei
Wang, Xinzhe
Yu, Shun-Li
Li, Jian-Xin
author_facet He, Li-Wei
Wang, Xinzhe
Yu, Shun-Li
Li, Jian-Xin
contents We investigate the origin of the 1/3 magnetization plateau in the $S=1/2$ kagome antiferromagnetic Heisenberg model using the variational Monte Carlo and exact diagonalization methods, to account for the recent experimental observations in YCu$_3$(OH)$_{6+x}$Br$_{3-x}$ and YCu$_3$(OD)$_{6+x}$Br$_{3-x}$. We identify three degenerate valence-bond-solid (VBS) states forming a $\sqrt{3} \times \sqrt{3}$ unit cell. These states exhibit David-star patterns in the spin moment distribution with only two fractional values $-1/3$ and $2/3$, and are related through translational transformations. While the spin correlations in these VBS states are found to be short-range, resembling a quantum spin liquid, we show that they have a vanishing topological entanglement entropy and thus are topologically trivial many-body states. Our theoretical results provide strong evidence that the 1/3 magnetization plateau observed in recent experiments arises from these $\sqrt{3} \times \sqrt{3}$ VBS states with fractional spin moments.
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id arxiv_https___arxiv_org_abs_2504_18480
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Nature of the 1/3 Magnetization Plateau in Spin-1/2 Kagome Antiferromagnets
He, Li-Wei
Wang, Xinzhe
Yu, Shun-Li
Li, Jian-Xin
Strongly Correlated Electrons
We investigate the origin of the 1/3 magnetization plateau in the $S=1/2$ kagome antiferromagnetic Heisenberg model using the variational Monte Carlo and exact diagonalization methods, to account for the recent experimental observations in YCu$_3$(OH)$_{6+x}$Br$_{3-x}$ and YCu$_3$(OD)$_{6+x}$Br$_{3-x}$. We identify three degenerate valence-bond-solid (VBS) states forming a $\sqrt{3} \times \sqrt{3}$ unit cell. These states exhibit David-star patterns in the spin moment distribution with only two fractional values $-1/3$ and $2/3$, and are related through translational transformations. While the spin correlations in these VBS states are found to be short-range, resembling a quantum spin liquid, we show that they have a vanishing topological entanglement entropy and thus are topologically trivial many-body states. Our theoretical results provide strong evidence that the 1/3 magnetization plateau observed in recent experiments arises from these $\sqrt{3} \times \sqrt{3}$ VBS states with fractional spin moments.
title Nature of the 1/3 Magnetization Plateau in Spin-1/2 Kagome Antiferromagnets
topic Strongly Correlated Electrons
url https://arxiv.org/abs/2504.18480