Symmetry of the emergent inductance tensor exhibited by magnetic textures

Abstract

Metals hosting gradually varying spatial magnetic textures are attracting attention as a new class of inductor. Under the application of an alternating current, the spin-transfer-torque effect induces oscillating dynamics of the magnetic texture, which subsequently yields the spin-motive force as a back action, resulting in an inductive voltage response. In general, a second-order tensor representing a material's response can have an off-diagonal component. However, it is unclear what symmetries the emergent inductance tensor has and also which magnetic textures can exhibit a transverse inductance response. Here we reveal both analytically and numerically that the emergent inductance tensor should be a symmetric tensor in the so-called adiabatic limit. By considering this symmetric tensor in terms of symmetry operations that a magnetic texture has, we further characterize the magnetic textures in which the transverse inductance response can appear. This finding provides a basis for exploring the transverse response of emergent inductors, which has yet to be discovered.

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Cited by in corpus (4)

• Energetic perspective on emergent inductance exhibited by magnetic textures in the pinned regime
• Reconsidering the nonlinear emergent inductance: time-varying Joule heating and its impact on the AC electrical response
• Emergent inductors in non-helical magnets
• Emergent impedance due to antiferromagnetic domain wall dynamics