Weyl Node and Spin Texture in Trigonal Tellurium and Selenium

Motoaki Hirayama, Ryo Okugawa, Shoji Ishibashi, Shuichi Murakami, Takashi Miyake

Research output: Contribution to journalArticlepeer-review

167 Citations (Scopus)


We study Weyl nodes in materials with broken inversion symmetry. We find based on first-principles calculations that trigonal Te and Se have multiple Weyl nodes near the Fermi level. The conduction bands have a spin splitting similar to the Rashba splitting around the H points, but unlike the Rashba splitting the spin directions are radial, forming a hedgehog spin texture around the H points, with a nonzero Pontryagin index for each spin-split conduction band. The Weyl semimetal phase, which has never been observed in real materials without inversion symmetry, is realized under pressure. The evolution of the spin texture by varying the pressure can be explained by the evolution of the Weyl nodes in k space.

Original languageEnglish
Article number206401
JournalPhysical review letters
Issue number20
Publication statusPublished - 2015 May 22
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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