<p>Antiferromagnetic states with a spin-split electronic structure give rise to spintronic, magnonic and electronic phenomena despite (near-)zero net magnetization<sup><CitationRef AdditionalCitationIDS="CR2 CR3 CR4 CR5 CR6" CitationID="CR1">1</CitationRef>–<CitationRef CitationID="CR7">7</CitationRef></sup>. The simplest odd-parity spin splitting—<i>p</i> wave—was originally proposed to emerge from a collective instability in interacting electron systems<sup><CitationRef AdditionalCitationIDS="CR9 CR10 CR11" CitationID="CR8">8</CitationRef>–<CitationRef CitationID="CR12">12</CitationRef></sup>. Recent theory has identified a distinct route to realize <i>p</i>-wave spin-split electronic bands without strong correlations<sup><CitationRef CitationID="CR13">13</CitationRef>,<CitationRef CitationID="CR14">14</CitationRef></sup>, termed <i>p</i>-wave magnetism. Here we demonstrate an experimental realization of a metallic <i>p</i>-wave magnet. The odd-parity spin splitting of delocalized conduction electrons arises from their coupling to an antiferromagnetic texture of localized 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 approximately preserves time-reversal symmetry up to a half-unit-cell translation—thereby fulfilling the symmetry conditions for <i>p</i>-wave magnetism. Consistent with theoretical predictions, our <i>p</i>-wave magnet shows a characteristic anisotropy in the electronic conductivity<sup><CitationRef AdditionalCitationIDS="CR14" CitationID="CR13">13</CitationRef>–<CitationRef CitationID="CR15">15</CitationRef></sup>. Relativistic spin–orbit coupling and a tiny spontaneous net magnetization further break time-reversal symmetry, resulting in a giant anomalous Hall effect (Hall conductivity &gt;600 S cm<sup>−1</sup>, Hall angle &gt;3%), for an antiferromagnet. Our model calculations show that the spin-nodal planes found in the electronic structure of <i>p</i>-wave magnets are readily gapped by a small perturbation to induce the anomalous Hall effect. We establish metallic <i>p</i>-wave magnets as an ideal platform to explore the functionality of spin-split electronic states in magnets, superconductors, and in spintronic devices.</p>

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A 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

摘要

Antiferromagnetic states with a spin-split electronic structure give rise to spintronic, magnonic and electronic phenomena despite (near-)zero net magnetization17. The simplest odd-parity spin splitting—p wave—was originally proposed to emerge from a collective instability in interacting electron systems812. Recent theory has identified a distinct route to realize p-wave spin-split electronic bands without strong correlations13,14, termed p-wave magnetism. Here we demonstrate an experimental realization of a metallic p-wave magnet. The odd-parity spin splitting of delocalized conduction electrons arises from their coupling to an antiferromagnetic texture of localized 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 approximately preserves time-reversal 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 shows a characteristic anisotropy in the electronic conductivity1315. Relativistic spin–orbit coupling and a tiny spontaneous net magnetization further break time-reversal symmetry, resulting in a giant anomalous Hall effect (Hall conductivity >600 S cm−1, 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 anomalous Hall effect. We establish metallic p-wave magnets as an ideal platform to explore the functionality of spin-split electronic states in magnets, superconductors, and in spintronic devices.