Unraveling the Kagome Antiferromagnetic 3J Model and Its Materials: An Integrated Approach
Abstract
We investigate the ground-state and finite-temperature properties of the kagome antiferromagnetic Heisenberg model with three inequivalent couplings, dubbed the 3J model, which is designed for the candidate Dirac quantum spin liquid (QSL) material YCu3(OH)6Br2[Br1−x(OH)x] (see, e.g., Zeng et al., 2024). Employing large-scale density-matrix renormalization group (DMRG) supplemented by neural quantum states (NQS) simulations, we identify an intermediate QSL phase between two magnetically ordered phases. We also find that this QSL is separated from the kagome spin liquid ground state at the isotropic limit. To establish a direct comparison with experiments, we compute the specific heat of the model by means of advanced exponential (XTRG) and tangent-space (tanTRG) thermal tensor-network methods. In the magnetically ordered phase, the specific heat over temperature exhibits a shoulder at a temperature that is a fraction of the coupling strength Jh, which disappears in the QSL phase. These universal behaviors are consistent with the experimentally observed specific heat in 3J materials for both ordered and QSL candidate samples. Our work thus connects microscopic models with experimentally measurable signatures, exemplifying an integrated approach to understanding QSL phenomena in frustrated quantum magnets~ (see Meng et al., 2026), with 3J materials serving as a representative case and providing a foundation for future studies.
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BibTeX
@misc{lu2026unraveling,
title = {{Unraveling the Kagome Antiferromagnetic $3J$ Model and Its Materials: An Integrated Approach}},
author = {Xin Lu and Andreas Raikos and Menghan Song and Zezong Li and Lankun Han and Shiliang Li and Sylvain Capponi and Zi Yang Meng and Chengkang Zhou},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.11745},
eprint = {2609.11745},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.11745},
}
RIS
TY - UNPB
TI - Unraveling the Kagome Antiferromagnetic 3J Model and Its Materials: An Integrated Approach
AU - Xin Lu
AU - Andreas Raikos
AU - Menghan Song
AU - Zezong Li
AU - Lankun Han
AU - Shiliang Li
AU - Sylvain Capponi
AU - Zi Yang Meng
AU - Chengkang Zhou
PY - 2026
DA - 2026/09/22
PB - arXiv
DO - 10.48550/arxiv.2609.11745
UR - https://arxiv.org/abs/2609.11745
AB - We investigate the ground-state and finite-temperature properties of the kagome antiferromagnetic Heisenberg model with three inequivalent couplings, dubbed the 3J model, which is designed for the candidate Dirac quantum spin liquid (QSL) material YCu_3(OH)_6Br_2[Br_1−x(OH)_x] (see, e.g., Zeng et al., 2024). Employing large-scale density-matrix renormalization group (DMRG) supplemented by neural quantum states (NQS) simulations, we identify an intermediate QSL phase between two magnetically ordered phases. We also find that this QSL is separated from the kagome spin liquid ground state at the isotropic limit. To establish a direct comparison with experiments, we compute the specific heat of the model by means of advanced exponential (XTRG) and tangent-space (tanTRG) thermal tensor-network methods. In the magnetically ordered phase, the specific heat over temperature exhibits a shoulder at a temperature that is a fraction of the coupling strength J_h, which disappears in the QSL phase. These universal behaviors are consistent with the experimentally observed specific heat in 3J materials for both ordered and QSL candidate samples. Our work thus connects microscopic models with experimentally measurable signatures, exemplifying an integrated approach to understanding QSL phenomena in frustrated quantum magnets~ (see Meng et al., 2026), with 3J materials serving as a representative case and providing a foundation for future studies.
ER -