Orbital Origin of Intrinsic Planar Hall Effect

Abstract

Recent experiments reported an antisymmetric planar Hall effect, where the Hall current is odd in the in-plane magnetic field and scales linearly with both electric and magnetic fields applied. Existing theories rely exclusively on a spin origin, which requires spin-orbit coupling to take effect. Here, we develop a general theory for the intrinsic planar Hall effect (IPHE), highlighting a previously unknown orbital mechanism and connecting it to a band geometric quantity -- the anomalous orbital polarizability (AOP). Importantly, the orbital mechanism does not request spin-orbit coupling, so sizable IPHE can occur and is dominated by orbital contribution in systems with weak spin-orbit coupling. Combined with first-principles calculations, we demonstrate our theory with quantitative evaluation for bulk materials $\mathrm{TaS}{\mathrm{b}}_2$, $\mathrm{NbA}{\mathrm{s}}_2$, and $\mathrm{SrA}{\mathrm{s}}_3$. We further show that AOP and its associated orbital IPHE can be greatly enhanced at topological band crossings, offering a new way to probe topological materials.

References in corpus (42)

• Berry Phase Effects on Electronic Properties
• Maximally-localized generalized Wannier functions for composite energy bands
• Anomalous Hall effect
• Wannier90: A Tool for Obtaining Maximally-Localised Wannier Functions
• Maximally-localized Wannier functions for entangled energy bands
• Quantum nonlinear Hall effect induced by Berry curvature dipole in time-reversal invariant materials
• Observation of the nonlinear Hall effect under time reversal symmetric conditions
• Proper Scaling of the Anomalous Hall Effect
• Giant Planar Hall Effect in Epitaxial (Ga,Mn)As Devices
• Field Induced Positional Shift of Bloch Electrons and its Dynamical Implications
• Chiral anomaly as origin of planar Hall effect in Weyl semimetals
• Semiclassical theories of the anomalous Hall effect
• Anomalous Hall Effect in ZrTe5
• Disorder-induced nonlinear Hall effect with time-reversal symmetry
• Topological Nodal Line Semimetals in CaP3 family of materials
• Planar Hall effect in the Weyl semimetal GdPtBi
• Experimental tests of the chiral anomaly magnetoresistance in the Dirac-Weyl semimetals Na${}_3$Bi and GdPtBi
• Multivariable Scaling for the Anomalous Hall Effect
• Chiral magnetic effect and natural optical activity in (Weyl) metals
• Nonlinear planar Hall effect
• Large Magnetoresistance in Compensated Semimetals TaAs${}_2$ and NbAs${}_2$
• Resistivity plateau and extremely large magnetoresistance in NbAs2 and TaAs2
• Field-induced resistivity plateau and unsaturated negative magnetoresistance in topological semimetal TaSb2
• Gigantic negative magnetoresistance in a disordered topological insulator
• Fermi surface topology and negative longitudinal magnetoresistance observed in centrosymmetric NbAs2 semimetal
• Optical Signatures of Dirac Nodal-lines in NbAs${}_2$
• Gigantic magnetochiral anisotropy in the topological semimetal ZrTe5
• Electronic structures of transition metal dipnictides $XP{n}_2$ ($X$=Ta, Nb; $Pn$=P, As, Sb)
• Generating a topological anomalous Hall effect in a non-magnetic conductor
• Anomalous Planar Hall Effect in Two-Dimensional Trigonal Crystals
• Intrinsic Nonlinear Planar Hall Effect
• Adiabatically Induced Orbital Magnetization
• Time-Reversal-Even Nonlinear Current Induced Spin Polarization
• Thermoelectric Generation of Orbital Magnetization in Metals
• Photoemission Spectroscopic Evidence for the Dirac Nodal Line in Monoclinic Semimetal SrAs${}_3$
• Evidence for a Dirac nodal-line semimetal in SrAs${}_3$
• In-plane Hall effect in two-dimensional helical electron systems
• Quantum-oscillation-modulated angular dependences of the positive longitudinal magnetoconductivity and planar Hall effect in Weyl semimetals
• Scaling parameters in anomalous and nonlinear Hall effects depend on temperature
• Electronic properties of TaAs2 topological semimetal investigated by transport and ARPES
• Determination of spin-orbit interaction in semiconductor nanostructures via non-linear transport
• Electronic structure and open-orbit Fermi surface topology in isostructural semimetals NbAs${}_2$ and W${}_2$As${}_3$ with extremely large magnetoresistance

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• Spontaneous in-plane anomalous Hall response observed in a ferromagnetic oxide
• Nonlinear spin and orbital Edelstein effect in WTe2
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• Layer Coherence Origin of Planar Hall Effect: from Charge to Multipole and Valley
• Stark difference in the in-plane anomalous Hall response in Zintl compounds EuA2Sb2 (A = Zn, Cd) thin films
• Dissipationless transport signature of topological nodal lines
• Valley-dependent giant orbital moments and transport feature in rhombohedral graphene multilayers
• Anisotropic planar Hall effects in Bi${}_2$Se${}_3$/EuS interfaces: Deciphering the role of proximity induced spin canting and topological spin texture
• Unveiling three types of fermions in a nodal ring topological semimetal through magneto-optical transitions
• Quantum Geometric Origin of Orbital Magnetization
• Probing quantum geometric nonlinear magnetization via second-harmonic magneto-optical Kerr effect
• Orbital enhanced intrinsic nonlinear planar Hall effect for probing topological phase transition in CuTlSe${}_2$
• Intrinsic nonlinear valley Nernst effect
• Classical transport theory for the planar Hall effect with threefold symmetry
• Universal classes of disorder scatterings in in-plane anomalous Hall effect
• Quantum geometric map of magnetotransport
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