Observation of in-plane anomalous Hall effect associated with orbital magnetization

Abstract

For over a century, the Hall effect, a transverse effect under out-of-plane magnetic field or magnetization, has been a cornerstone for magnetotransport studies and applications. Modern theoretical formulation based on the Berry curvature has revealed the potential that even in-plane magnetic field can induce anomalous Hall effect, but its experimental demonstration has remained difficult due to its potentially small magnitude and strict symmetry requirements. Here we report observation of the in-plane anomalous Hall effect by measuring low-carrier density films of magnetic Weyl semimetal EuCd${}_2$Sb${}_2$. Anomalous Hall resistance exhibits distinct three-fold rotational symmetry for changes in the in-plane field component, and this can be understood in terms of out-of-plane Weyl points splitting or orbital magnetization induced by in-plane field, as also confirmed by model calculation. Our findings demonstrate the importance of in-plane field to control the Hall effect, accelerating materials development and further exploration of various in-plane field induced phenomena.

arXiv comment14 pages, 4 figures

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Cited by in corpus (10)

• Dominant orbital magnetization in the prototypical altermagnet MnTe
• 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
• On the angular dependence of anomalous Hall current
• Pseudo anomalous Hall effect in semiconductors and semimetals: A classical perspective
• Cusplike feature in Hall resistivity of a uniaxial ferromagnet in nonorthogonal Hall geometry
• Magneto-cubic and magneto-linear dependence observed in an in-plane anomalous Hall magnet
• Universal classes of disorder scatterings in in-plane anomalous Hall effect
• Classical transport theory for the planar Hall effect with threefold symmetry