Fourth-order and six-order nonlinear spin current diode in $h$-wave and $j$-wave odd-parity magnets

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Auteur principal: Ezawa, Motohiko
Format: Preprint
Publié: 2026
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author Ezawa, Motohiko
author_facet Ezawa, Motohiko
contents Higher-order symmetric $X$-wave magnets consist of two groups. One includes $d$-wave, $g$-wave and $i$-wave altermagnets, while the other includes $p$-wave and $f$-wave odd-parity magnets. Recently, the possibility of $h$-wave magnets has been discussed. Motivated by this development, we systematically construct an $X$-wave magnet with $\left( N_{X}+1\right) $ nodes in three dimensions from an $X$-wave magnet with $N_{X}$ nodes in two dimensions by means of a dimensional extension, where $N_X=1,2,3,4,6$ for $X=p,d,f,g,i$, respectively. Based on this method, we predict $j$-wave magnets in three dimensions. Then, we argue how to identify each of these $X$-wave magnets experimentally. We show that the $X$-wave magnet is completely identified by measuring the nonlinear spin currents. In particular, we predict that there are no spin currents other than the fourth-order ones such as $σ_{\text{spin}}^{x^{3}y;z}$ in $h$-wave odd-parity magnets in three dimensions and the sixth-order ones such as $σ_{\text{spin}}^{x^{5}y;z}$ in $j$-wave odd-parity magnets in three dimensions. They function as spin-current diodes because the spin current exhibits unidirectional flow independent of the applied electric field.
format Preprint
id arxiv_https___arxiv_org_abs_2603_23915
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Fourth-order and six-order nonlinear spin current diode in $h$-wave and $j$-wave odd-parity magnets
Ezawa, Motohiko
Mesoscale and Nanoscale Physics
Higher-order symmetric $X$-wave magnets consist of two groups. One includes $d$-wave, $g$-wave and $i$-wave altermagnets, while the other includes $p$-wave and $f$-wave odd-parity magnets. Recently, the possibility of $h$-wave magnets has been discussed. Motivated by this development, we systematically construct an $X$-wave magnet with $\left( N_{X}+1\right) $ nodes in three dimensions from an $X$-wave magnet with $N_{X}$ nodes in two dimensions by means of a dimensional extension, where $N_X=1,2,3,4,6$ for $X=p,d,f,g,i$, respectively. Based on this method, we predict $j$-wave magnets in three dimensions. Then, we argue how to identify each of these $X$-wave magnets experimentally. We show that the $X$-wave magnet is completely identified by measuring the nonlinear spin currents. In particular, we predict that there are no spin currents other than the fourth-order ones such as $σ_{\text{spin}}^{x^{3}y;z}$ in $h$-wave odd-parity magnets in three dimensions and the sixth-order ones such as $σ_{\text{spin}}^{x^{5}y;z}$ in $j$-wave odd-parity magnets in three dimensions. They function as spin-current diodes because the spin current exhibits unidirectional flow independent of the applied electric field.
title Fourth-order and six-order nonlinear spin current diode in $h$-wave and $j$-wave odd-parity magnets
topic Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2603.23915