Nonlinear thermal gradient induced magnetization in $d^{\prime }$, $g^{\prime }$ and $i^{\prime }$ altermagnets
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arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866910107549302784 |
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| author | Ezawa, Motohiko |
| author_facet | Ezawa, Motohiko |
| contents | It is a highly nontrivial question whether a magnetization can be induced by applying a nonlinear temperature gradient in the absence of any linear component. In this work, we address this issue and provide explicit examples demonstrating that such a response can indeed arise. The spin-split band structures of $d$-wave, $g$-wave, $i$-wave altermagnets are characterized by $k^{N_{X}}\sin N_{X}ϕ$, where $N_{X}=2,4$ and $6$, respectively. In contrast, the corresponding $d^{\prime }$-wave, $g^{\prime } $-wave, $i^{\prime }$-wave altermagnets are described by $k^{N_{X}}\cos N_{X}ϕ$. We show that a finite magnetization is induced in the $d^{\prime }$-wave, $g^{\prime }$-wave, $i^{\prime }$-wave altermagnets under a second-order nonlinear temperature gradient, whereas no such response occurs in the $d$-wave, $g$-wave, $i$-wave altermagnets. This constitutes the leading-order contribution because the linear response is forbidden by inversion symmetry. Furthermore, we derive analytic expressions for the induced magnetization in the high-temperature regime. We also demonstrate that no analogous nonlinear thermal response appears in $p$-wave, $f$-wave, $p^{\prime }$-wave and $f^{\prime }$-wave odd-parity magnets. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_05454 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Nonlinear thermal gradient induced magnetization in $d^{\prime }$, $g^{\prime }$ and $i^{\prime }$ altermagnets Ezawa, Motohiko Mesoscale and Nanoscale Physics It is a highly nontrivial question whether a magnetization can be induced by applying a nonlinear temperature gradient in the absence of any linear component. In this work, we address this issue and provide explicit examples demonstrating that such a response can indeed arise. The spin-split band structures of $d$-wave, $g$-wave, $i$-wave altermagnets are characterized by $k^{N_{X}}\sin N_{X}ϕ$, where $N_{X}=2,4$ and $6$, respectively. In contrast, the corresponding $d^{\prime }$-wave, $g^{\prime } $-wave, $i^{\prime }$-wave altermagnets are described by $k^{N_{X}}\cos N_{X}ϕ$. We show that a finite magnetization is induced in the $d^{\prime }$-wave, $g^{\prime }$-wave, $i^{\prime }$-wave altermagnets under a second-order nonlinear temperature gradient, whereas no such response occurs in the $d$-wave, $g$-wave, $i$-wave altermagnets. This constitutes the leading-order contribution because the linear response is forbidden by inversion symmetry. Furthermore, we derive analytic expressions for the induced magnetization in the high-temperature regime. We also demonstrate that no analogous nonlinear thermal response appears in $p$-wave, $f$-wave, $p^{\prime }$-wave and $f^{\prime }$-wave odd-parity magnets. |
| title | Nonlinear thermal gradient induced magnetization in $d^{\prime }$, $g^{\prime }$ and $i^{\prime }$ altermagnets |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2604.05454 |