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Main Authors: Jin, Jin-Tao, Zhou, Yi
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2503.18649
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author Jin, Jin-Tao
Zhou, Yi
author_facet Jin, Jin-Tao
Zhou, Yi
contents We develop a comprehensive Ginzburg-Landau theory describing triple-Q magnetic orders on hexagonal lattices, focusing on $O(N)$ models with $N=2$ and $N=3$. Through systematic analysis of symmetry-allowed terms in the free energy, we establish complete phase diagrams governed by competing interaction parameters. Our theory reveals distinct magnetic configurations including single-Q, double-Q, and triple-Q states, each characterized by unique symmetry breaking patterns and collective excitations. The framework provides fundamental insights into complex magnetic orders recently observed in materials such as Na$_2$Co$_2$TeO$_6$, where the interplay between geometric frustration and multiple ordering vectors leads to exotic magnetic states. Our results establish clear connections between microscopic interactions, broken symmetries, and experimentally observable properties, offering a powerful tool for understanding and predicting novel magnetic phases in frustrated magnets.
format Preprint
id arxiv_https___arxiv_org_abs_2503_18649
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Phenomenological Ginzburg-Landau theory for triple-Q magnetic orders on a hexagonal lattice
Jin, Jin-Tao
Zhou, Yi
Strongly Correlated Electrons
We develop a comprehensive Ginzburg-Landau theory describing triple-Q magnetic orders on hexagonal lattices, focusing on $O(N)$ models with $N=2$ and $N=3$. Through systematic analysis of symmetry-allowed terms in the free energy, we establish complete phase diagrams governed by competing interaction parameters. Our theory reveals distinct magnetic configurations including single-Q, double-Q, and triple-Q states, each characterized by unique symmetry breaking patterns and collective excitations. The framework provides fundamental insights into complex magnetic orders recently observed in materials such as Na$_2$Co$_2$TeO$_6$, where the interplay between geometric frustration and multiple ordering vectors leads to exotic magnetic states. Our results establish clear connections between microscopic interactions, broken symmetries, and experimentally observable properties, offering a powerful tool for understanding and predicting novel magnetic phases in frustrated magnets.
title Phenomenological Ginzburg-Landau theory for triple-Q magnetic orders on a hexagonal lattice
topic Strongly Correlated Electrons
url https://arxiv.org/abs/2503.18649