Hybrid-order topology in unconventional magnets of Eu-based Zintl compounds with surface-dependent quantum geometry

Fuente: arXiv
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Autores principales: Zhao, Yufei, Jiang, Yiyang, Bae, Hyeonhu, Das, Kamal, Li, Yongkang, Liu, Chao-Xing, Yan, Binghai
Formato: Preprint
Publicado: 2024
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author Zhao, Yufei
Jiang, Yiyang
Bae, Hyeonhu
Das, Kamal
Li, Yongkang
Liu, Chao-Xing
Yan, Binghai
author_facet Zhao, Yufei
Jiang, Yiyang
Bae, Hyeonhu
Das, Kamal
Li, Yongkang
Liu, Chao-Xing
Yan, Binghai
contents The exploration of magnetic topological insulators is instrumental in exploring axion electrodynamics and intriguing transport phenomena, such as the quantum anomalous Hall effect. Here, we report that a family of magnetic compounds Eu$_{2n+1}$In$_{2}$(As,Sb)$_{2n+2}$ ($n=0,1,2$) exhibit both gapless Dirac surface states and chiral hinge modes. Such a hybrid-order topology hatches surface-dependent quantum geometry. By mapping the responses into real space, we demonstrate the existence of chiral hinge modes along the $c$ direction, which originate from the half-quantized anomalous Hall effect on two gapped $ac$/$bc$ facets due to Berry curvature, while the unpinned Dirac surface states on the gapless $ab$ facet generate an intrinsic nonlinear anomalous Hall effect due to the quantum metric. When Eu$_{3}$In$_{2}$As$_{4}$ is polarized to the ferromagnetic phase by an external magnetic field, it becomes an ideal Weyl semimetal with a single pair of type-I Weyl points and no extra Fermi pocket. Our work predicts rich topological states sensitive to magnetic structures, quantum geometry-induced transport and topological superconductivity if proximitized with a superconductor.
format Preprint
id arxiv_https___arxiv_org_abs_2403_06304
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Hybrid-order topology in unconventional magnets of Eu-based Zintl compounds with surface-dependent quantum geometry
Zhao, Yufei
Jiang, Yiyang
Bae, Hyeonhu
Das, Kamal
Li, Yongkang
Liu, Chao-Xing
Yan, Binghai
Materials Science
Mesoscale and Nanoscale Physics
The exploration of magnetic topological insulators is instrumental in exploring axion electrodynamics and intriguing transport phenomena, such as the quantum anomalous Hall effect. Here, we report that a family of magnetic compounds Eu$_{2n+1}$In$_{2}$(As,Sb)$_{2n+2}$ ($n=0,1,2$) exhibit both gapless Dirac surface states and chiral hinge modes. Such a hybrid-order topology hatches surface-dependent quantum geometry. By mapping the responses into real space, we demonstrate the existence of chiral hinge modes along the $c$ direction, which originate from the half-quantized anomalous Hall effect on two gapped $ac$/$bc$ facets due to Berry curvature, while the unpinned Dirac surface states on the gapless $ab$ facet generate an intrinsic nonlinear anomalous Hall effect due to the quantum metric. When Eu$_{3}$In$_{2}$As$_{4}$ is polarized to the ferromagnetic phase by an external magnetic field, it becomes an ideal Weyl semimetal with a single pair of type-I Weyl points and no extra Fermi pocket. Our work predicts rich topological states sensitive to magnetic structures, quantum geometry-induced transport and topological superconductivity if proximitized with a superconductor.
title Hybrid-order topology in unconventional magnets of Eu-based Zintl compounds with surface-dependent quantum geometry
topic Materials Science
Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2403.06304