Theory of nonlinear magnetoelectric transport effects in normal-metal $-$ magnetic-insulator heterostructures

Fuente: arXiv
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Auteurs principaux: Franke, Oliver, Brouwer, Piet W.
Format: Preprint
Publié: 2025
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author Franke, Oliver
Brouwer, Piet W.
author_facet Franke, Oliver
Brouwer, Piet W.
contents Heterostructures of normal metals (N) and magnetic insulators (F) show paradigmatic effects, such as spin-Hall magnetoresistance and electric drag currents. These effects are linear in the applied electric field $E(ω)$. Normal-metal $-$ magnetic-insulator heterostructures also exhibit a characteristic nonlinear response quadratic in $E(ω)$, referred to as unidirectional spin-Hall magnetoresistance or spin-torque diode effect. In this article, we develop a theory of the bilinear response of FN bilayers and NFN trilayers for finite frequencies $ω$ of the driving field and for four contributions that have been previously considered in the literature: Joule heating, phonon-mediated unidirectional magnetoresistance, the spin-torque diode effect, and magnonic unidirectional spin-Hall magnetoresistance. We identify their distinct dependencies on frequency and the magnetization direction of the magnetic insulator and examine their scaling with magnetic field and system geometry, providing a framework for experimental differentiation.
format Preprint
id arxiv_https___arxiv_org_abs_2508_02492
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Theory of nonlinear magnetoelectric transport effects in normal-metal $-$ magnetic-insulator heterostructures
Franke, Oliver
Brouwer, Piet W.
Mesoscale and Nanoscale Physics
Heterostructures of normal metals (N) and magnetic insulators (F) show paradigmatic effects, such as spin-Hall magnetoresistance and electric drag currents. These effects are linear in the applied electric field $E(ω)$. Normal-metal $-$ magnetic-insulator heterostructures also exhibit a characteristic nonlinear response quadratic in $E(ω)$, referred to as unidirectional spin-Hall magnetoresistance or spin-torque diode effect. In this article, we develop a theory of the bilinear response of FN bilayers and NFN trilayers for finite frequencies $ω$ of the driving field and for four contributions that have been previously considered in the literature: Joule heating, phonon-mediated unidirectional magnetoresistance, the spin-torque diode effect, and magnonic unidirectional spin-Hall magnetoresistance. We identify their distinct dependencies on frequency and the magnetization direction of the magnetic insulator and examine their scaling with magnetic field and system geometry, providing a framework for experimental differentiation.
title Theory of nonlinear magnetoelectric transport effects in normal-metal $-$ magnetic-insulator heterostructures
topic Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2508.02492