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

Abstract

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.

11 pages, 5 figures

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Cited by in corpus (7)

• Topological Weyl Altermagnetism in CrSb
• Superconducting phenomena in systems with unconventional magnets
• Revealing Quantum Geometry in Nonlinear Quantum Materials
• Axion insulator, Weyl points, quantum anomalous Hall effect and magnetic topological phase transition in Eu3In2As4
• Non-relativistic linear Edelstein effect in helical EuIn2As2
• Nonlinear planar magnetotransport as a probe of the topology of surface states
• Giant-exchange-driven Vectorial Control of a Minimal Topological Magnet in Eu3In2As4