Variational Monte Carlo Study of the 1/9 Magnetization Plateau in Kagome Antiferromagnets

Fuente: arXiv
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Auteurs principaux: He, Li-Wei, Yu, Shun-Li, Li, Jian-Xin
Format: Preprint
Publié: 2024
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author He, Li-Wei
Yu, Shun-Li
Li, Jian-Xin
author_facet He, Li-Wei
Yu, Shun-Li
Li, Jian-Xin
contents Motivated by very recent experimental observations of the 1/9 magnetization plateaus in YCu$_3$(OH)$_{6+x}$Br$_{3-x}$ and YCu$_3$(OD)$_{6+x}$Br$_{3-x}$, our study delves into the magnetic field-induced phase transitions in the nearest-neighbor antiferromagnetic Heisenberg model on the kagome lattice using the variational Monte Carlo technique. We uncover a phase transition from a zero-field Dirac spin liquid to a field-induced magnetically disordered phase that exhibits the 1/9 magnetization plateau. Through a comprehensive analysis encompassing the magnetization distribution, spin correlations, chiral order parameter, topological entanglement entropy, ground-state degeneracy, Chern number and excitation spectrum, we pinpoint the phase associated with this magnetization plateau as a chiral $\mathbb{Z}_3$ topological quantum spin liquid and elucidate its diverse physical properties.
format Preprint
id arxiv_https___arxiv_org_abs_2407_20629
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Variational Monte Carlo Study of the 1/9 Magnetization Plateau in Kagome Antiferromagnets
He, Li-Wei
Yu, Shun-Li
Li, Jian-Xin
Strongly Correlated Electrons
Motivated by very recent experimental observations of the 1/9 magnetization plateaus in YCu$_3$(OH)$_{6+x}$Br$_{3-x}$ and YCu$_3$(OD)$_{6+x}$Br$_{3-x}$, our study delves into the magnetic field-induced phase transitions in the nearest-neighbor antiferromagnetic Heisenberg model on the kagome lattice using the variational Monte Carlo technique. We uncover a phase transition from a zero-field Dirac spin liquid to a field-induced magnetically disordered phase that exhibits the 1/9 magnetization plateau. Through a comprehensive analysis encompassing the magnetization distribution, spin correlations, chiral order parameter, topological entanglement entropy, ground-state degeneracy, Chern number and excitation spectrum, we pinpoint the phase associated with this magnetization plateau as a chiral $\mathbb{Z}_3$ topological quantum spin liquid and elucidate its diverse physical properties.
title Variational Monte Carlo Study of the 1/9 Magnetization Plateau in Kagome Antiferromagnets
topic Strongly Correlated Electrons
url https://arxiv.org/abs/2407.20629