Planar Hall effect in topological Weyl and nodal line semimetals

Abstract

Using symmetry analysis and semiclassical Boltzmann equation, we theoretically explore the planar Hall effect (PHE) in three-dimensional materials. We demonstrate that PHE is a general phenomenon that can occur in various systems regardless of band topology. Both the Lorentz force and Berry curvature effects can induce significant PHE, and the leading contributions of both effects linearly depend on the electric and magnetic fields. The Lorentz force and Berry curvature PHE coefficient possess only antisymmetric and symmetric parts, respectively. Both contributions respect the same crystalline symmetry constraints but differ under time-reversal symmetry. Remarkably, for topological Weyl semimetal, the Berry curvature PHE coefficient is a constant that does not depends on the Fermi energy, while the Lorentz force contribution linearly increases with the Fermi energy, resulting from the linear dispersion of the Weyl point. Furthermore, we find that the PHE in topological nodal line semimetals is mainly induced by the Lorentz force, as the Berry curvature in these systems vanishes near the nodal line. Our study not only highlights the significance of the Lorentz force in PHE, but also reveals its unique characteristics, which will be beneficial for determining the Lorentz force contribution experimentally.

9 pages, 5 figures

References in corpus (9)

• Topological Node-Line Semimetal in Three Dimensional Graphene Networks
• Topological nodal line semimetals
• Large Fermi Arcs in Unconventional Weyl Semimetal RhSi
• Nonlinear planar Hall effect
• Non-topological Origin of the Planar Hall Effect in Type-II Dirac Semimetal NiTe2
• Quantum-oscillation-modulated angular dependences of the positive longitudinal magnetoconductivity and planar Hall effect in Weyl semimetals
• Landau level spectrum and magneto-optical conductivity in tilted Weyl semimetal
• Large anomalous Hall effect induced by gapped nodal lines in GdZn and GdCd
• Semiclassical magnetotransport including the effects of the Berry curvature and Lorentz force

Cited by in corpus (24)

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• Planar Hall Effect in Quasi-Two-Dimensional Materials
• Unveiling an in-plane Hall effect in rutile RuO${}_2$ films
• Signatures of topology in generic transport measurements for Rarita-Schwinger-Weyl semimetals
• Linear response in planar Hall and thermal Hall setups for Rarita-Schwinger-Weyl semimetals
• Reflections of topological properties in the planar-Hall response for semimetals carrying pseudospin-1 quantum numbers
• Planar Hall Plateau in Magnetic Weyl Semimetals
• Longitudinal DC Conductivity in Dirac Nodal Line Semimetals: Intrinsic and Extrinsic Contributions
• Pairwise annihilation of Weyl nodes induced by magnetic fields in the Hofstadter regime
• Spontaneous in-plane anomalous Hall response observed in a ferromagnetic oxide
• Chiral anomaly and internode scatterings in multifold semimetals
• Anomalous Hall effect in Dirac semimetal probed by in-plane magnetic field
• Switchable in-plane anomalous Hall effect by magnetization orientation in monolayer ${\mathrm{Mn}}_3{\mathrm{Si}}_2{\mathrm{Te}}_6$
• Coexistence of unconventional spin Hall effect and antisymmetric planar Hall effect in IrO${}_2$
• Stark difference in the in-plane anomalous Hall response in Zintl compounds EuA2Sb2 (A = Zn, Cd) thin films
• Disentangling contributions to longitudinal magnetoconductivity for Kramers-Weyl nodes
• Reshaping the anomalous Hall response in tilted 3D system with disorder correction
• Surface magnon spectra of nodal loop semimetals
• Magneto tunnel conductance across twisted Weyl semimetal junctions
• Magneto-cubic and magneto-linear dependence observed in an in-plane anomalous Hall magnet
• Quantum geometric map of magnetotransport
• Breakdown of chiral anomaly and emergent phases in Weyl semimetals under orbital magnetic fields