On the separation of Hall and Ohmic nonlinear responses

Abstract

The symmetric and antisymmetric parts of the linear conductivity describe the dissipative (Ohmic) and nondissipative (Hall) parts of the current. The Hall current is always transverse to the applied electric field regardless of its orientation; the Ohmic current is purely longitudinal in cubic crystals, but in lower-symmetry crystals it has a transverse component whenever the field is not aligned with a principal axis. In this work, we extend that analysis beyond the linear regime. We consider all possible ways of partitioning the current at any order in the electric field without taking symmetry into account, and find that the Hall vs Ohmic decomposition is the only one that satisfies certain basic requirements. A general prescription is given for achieving that decomposition, and the case of the quadratic conductivity is analyzed in detail. By performing a symmetry analysis we find that in five of the 122 magnetic point groups the quadratic dc conductivity is purely Ohmic and even under time reversal, a type of response that is entirely disorder mediated.

16 pages

References in corpus (8)

• Nonlinear Hall Effects
• Intrinsic nonlinear Hall effect in antiferromagnetic tetragonal CuMnAs
• Intrinsic Second-Order Anomalous Hall Effect and Its Application in Compensated Antiferromagnets
• Nonlinear Hall effect with time-reversal symmetry: Theory and material realizations
• Strong electrical magneto-chiral anisotropy in tellurium
• Gyrotropic Hall effect in Berry-curved materials
• Electrical detection of magnetization reversal without auxiliary magnets
• Semiclassical theory of the photogalvanic effect in non-centrosymmetric systems

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• Scaling Law for Time-Reversal-Odd Nonlinear Transport
• An antiferromagnetic diode effect in even-layered MnBi2Te4
• Symmetry Origin and Microscopic Mechanism of Electrical Magnetochiral Anisotropy in Tellurium
• Giant Crystal Hall Effect in Collinear Antiferromagnetic $\gamma$-FeMn
• Intrinsic nonlinear Nernst and Seebeck effect
• Crystal tensor properties of magnetic materials with and without spin-orbit coupling. Application of spin point groups as approximate symmetries
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• Quantum Geometric Origin of the Intrinsic Nonlinear Hall Effect
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