Spontaneous antisymmetric spin splitting in noncollinear antiferromagnets without spin-orbit coupling

Satoru Hayami, Yuki Yanagi, Hiroaki Kusunose

Research output: Contribution to journalArticlepeer-review

24 Citations (Scopus)


We propose a realization of an antisymmetric spin-split band structure through magnetic phase transitions without spin-orbit coupling. It enables us to utilize it for a variety of magnetic-order-driven cross-correlated and nonreciprocal transport phenomena as similar to those in spin-orbit-coupling oriented systems. We unveil its general condition as an emergence of a bond-type magnetic toroidal multipole (polar tensor) in a triangular unit with noncollinear 120∠antiferromagnetic structures. By using the concept of augmented multipoles, we systematically analyze the phenomena in terms of an effective multipole coupling. Our multipole description is ubiquitously applied to any trigonal and hexagonal structures including triangular, kagome, and breathing kagome structures, and provides a way to design and engineer materials with a giant antisymmetric spin splitting and its physical responses even without spin-orbit coupling.

Original languageEnglish
Article number220403
JournalPhysical Review B
Issue number22
Publication statusPublished - 2020 Jun 1

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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