Chiral crossroads in $\mathrm{Ho_3ScO_6}$: a tale of frustration in maple leaf lattice

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Main Author: Ghosh, Pratyay
Format: Preprint
Published: 2025
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author Ghosh, Pratyay
author_facet Ghosh, Pratyay
contents Motivated by the recent observation of a uniform vector chirality (UVC) magnetic order in the maple-leaf lattice (MLL) realization $\mathrm{Ho_3ScO_6}$ via powder neutron scattering experiments, we investigate the classical antiferromagnetic Heisenberg model on the maple-leaf lattice. The MLL features three symmetry-inequivalent nearest-neighbor couplings, $J_d$, $J_t$, and $J_h$. Previous studies, primarily focused on the case where $J_t = J_h$, identified a staggered vector chirality (SVC) order. Extending beyond this limit, we demonstrate that the SVC order remains stable across a broad parameter regime. However, we also find that the UVC order cannot emerge from the nearest-neighbor model alone. By introducing a further-neighbor antiferromagnetic interaction, $J_x$, we demonstrate that even a weak $J_x$ can cause a first-order phase transition from SVC to UVC order. Using linear spin wave theory, we compute the dynamical spin structure factor, revealing distinct signatures for SVC and UVC orders that can be probed through inelastic neutron scattering experiments. Additionally, we calculate the specific heat, which exhibits qualitative agreement with the experimental data for $\mathrm{Ho_3ScO_6}$. Our findings provide a minimal framework for understanding $\mathrm{Ho_3ScO_6}$ and related MLL systems, like $\mathrm{MgMn_3O_7.3H_2O}$, suggesting avenues for further experimental and theoretical investigations.
format Preprint
id arxiv_https___arxiv_org_abs_2504_12387
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Chiral crossroads in $\mathrm{Ho_3ScO_6}$: a tale of frustration in maple leaf lattice
Ghosh, Pratyay
Strongly Correlated Electrons
Materials Science
Motivated by the recent observation of a uniform vector chirality (UVC) magnetic order in the maple-leaf lattice (MLL) realization $\mathrm{Ho_3ScO_6}$ via powder neutron scattering experiments, we investigate the classical antiferromagnetic Heisenberg model on the maple-leaf lattice. The MLL features three symmetry-inequivalent nearest-neighbor couplings, $J_d$, $J_t$, and $J_h$. Previous studies, primarily focused on the case where $J_t = J_h$, identified a staggered vector chirality (SVC) order. Extending beyond this limit, we demonstrate that the SVC order remains stable across a broad parameter regime. However, we also find that the UVC order cannot emerge from the nearest-neighbor model alone. By introducing a further-neighbor antiferromagnetic interaction, $J_x$, we demonstrate that even a weak $J_x$ can cause a first-order phase transition from SVC to UVC order. Using linear spin wave theory, we compute the dynamical spin structure factor, revealing distinct signatures for SVC and UVC orders that can be probed through inelastic neutron scattering experiments. Additionally, we calculate the specific heat, which exhibits qualitative agreement with the experimental data for $\mathrm{Ho_3ScO_6}$. Our findings provide a minimal framework for understanding $\mathrm{Ho_3ScO_6}$ and related MLL systems, like $\mathrm{MgMn_3O_7.3H_2O}$, suggesting avenues for further experimental and theoretical investigations.
title Chiral crossroads in $\mathrm{Ho_3ScO_6}$: a tale of frustration in maple leaf lattice
topic Strongly Correlated Electrons
Materials Science
url https://arxiv.org/abs/2504.12387