Magneto-cubic and magneto-linear dependence observed in an in-plane anomalous Hall magnet

Abstract

The Hall effect, particularly that arising from in-plane magnetic field, has recently emerged as a sensitive probe of quantum geometric properties in solids. Especially in trigonal systems, in-plane anomalous Hall effect (AHE) can be explicitly induced by nontrivial off-diagonal coupling between the magnetic field and the Hall vector on the principal plane. Here we elucidate multipolar dependence of the off-diagonal coupling in the in-plane AHE, by systematically measuring on the (001) principal plane of trigonal antiferromagnet EuCd2Sb2 thin films for each magnetic phase. Around zero field, magneto-cubic dependence of anomalous Hall resistivity is clearly observed not only in the paramagnetic phase but also even in the antiferromagnetic phase. An off-diagonal component of the octupolar tensor also exhibits unconventional decay above the magnetic ordering temperature, roughly depending on the inverse temperature to the third power. In the forced ferromagnetic phase, on the other hand, magneto-linear dependence dominantly appears and notably persists up to very high fields. Our findings clarify key aspects of the off-diagonal coupling in the in-plane AHE, paving the way for its future investigations and potential applications beyond conventional expectations about the Hall effect.

16 pages, 4 figures

References in corpus (20)

• First Principles Calculation of Anomalous Hall Conductivity in Ferromagnetic bcc Fe
• Chern Number Tunable Quantum Anomalous Hall Effect in Monolayer Transitional Metal Oxides via Manipulating Magnetization Orientation
• Essential role of anisotropic magnetic dipole in anomalous Hall effect
• Orbital Magneto-Nonlinear Anomalous Hall Effect in Kagome Magnet Fe${}_3$Sn${}_2$
• Designing spin and orbital sources of Berry curvature at oxide interfaces
• In-plane anomalous Hall effect in PT-symmetric antiferromagnetic materials
• Planar Hall effect in topological Weyl and nodal line semimetals
• Anomalous Hall Effect and Spontaneous Orbital Magnetization in Antiferromagnetic Weyl Metal
• Molecular beam epitaxy of three-dimensionally thick Dirac semimetal Cd3As2 films
• Symmetry-based requirement for the measurement of electrical and thermal Hall conductivity under an in-plane magnetic field
• Field-direction control of the type of charge carriers in nonsymmorphic IrO2
• Quantized and half-quantized Anomalous Hall effect induced by in-plane magnetic field
• Observation of in-plane anomalous Hall effect associated with orbital magnetization
• Engineering the in-plane anomalous Hall effect in Cd${}_3$As${}_2$ thin films
• Maximizing intrinsic anomalous Hall effect by controlling the Fermi level in simple Weyl semimetal films
• Unveiling an in-plane Hall effect in rutile RuO${}_2$ films
• Berry curvature derived negative magnetoconductivity observed in type-II magnetic Weyl semimetal films
• Spontaneous in-plane anomalous Hall response observed in a ferromagnetic oxide
• Anomalous Hall effect in Dirac semimetal probed by in-plane magnetic field
• Stark difference in the in-plane anomalous Hall response in Zintl compounds EuA2Sb2 (A = Zn, Cd) thin films