Metallic $p$-wave magnet with commensurate spin helix

Rinsuke Yamada, Max T. Birch, Priya R. Baral, Shun Okumura, Ryota Nakano, Shang Gao, Motohiko Ezawa, Takuya Nomoto, Jan Masell, Yuki Ishihara, Kamil K. Kolincio, Ilya Belopolski, Hajime Sagayama, Hironori Nakao, Kazuki Ohishi, Takashi Ohhara, Ryoji Kiyanagi, Taro Nakajima, Yoshinori Tokura, Taka-hisa Arima, Yukitoshi Motome, Moritz M. Hirschmann, Max Hirschberger

Published: 2025/2/14

Abstract

Antiferromagnetic states with spin-split electronic structure give rise to novel spintronic, magnonic, and electronic phenomena despite (near-) zero net magnetization. The simplest odd-parity spin splitting - $p$-wave - was originally proposed to emerge from a collective instability in interacting electron systems. Recent theory identifies a distinct route to realise $p$-wave spin-split electronic bands without strong correlations, termed $p$-wave magnetism. Here we demonstrate an experimental realisation of a metallic $p$-wave magnet. The odd-parity spin splitting of delocalised conduction electrons arises from their coupling to an antiferromagnetic texture of localised magnetic moments: a coplanar spin helix whose magnetic period is an even multiple of the chemical unit cell, as revealed by X-ray scattering experiments. This texture breaks space inversion symmetry but preserves time-reversal ($T$) symmetry up to a half-unit-cell translation - thereby fulfilling the symmetry conditions for $p$-wave magnetism. Consistent with theoretical predictions, our $p$-wave magnet exhibits a characteristic anisotropy in the electronic conductivity. Relativistic spin-orbit coupling and a tiny spontaneous net magnetization further break $T$ symmetry, resulting in a giant anomalous Hall effect (AHE, $\sigma_{xy}>600\,$S/cm, Hall angle $>3\,\%$), for an antiferromagnet. Our model calculations show that the spin nodal planes found in the electronic structure of $p$-wave magnets are readily gapped by a small perturbation to induce the AHE.

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