The chiral crystal is characterized by a lack of mirror symmetry and inversion center, resulting in the inequivalent right- and left-handed structures. In the noncentrosymmetric crystal structure, the spin and momentum of electrons are expected to be locked in the reciprocal space with the help of the spin-orbit interaction. To reveal the spin textures of chiral crystals, we investigate the spin and electronic structure in a p-type semiconductor, elemental tellurium, with the simplest chiral structure by using spin- and angle-resolved photoemission spectroscopy. Our data demonstrate that the highest valence band crossing the Fermi level has a spin component parallel to the electron momentum around the Brillouin zone corners. Significantly, we have also confirmed that the spin polarization is reversed in the crystal with the opposite chirality. The results indicate that the spin textures of the right- and left-handed chiral crystals are hedgehoglike, leading to unconventional magnetoelectric effects and nonreciprocal phenomena.

中文翻译：

---

具有手性晶体结构的元素碲中的径向自旋纹理。

手性晶体的特征是缺乏镜面对称性和反转中心，导致左手和右手结构不等。在非中心对称的晶体结构中，借助于自旋轨道相互作用，预期电子的自旋和动量将被锁定在互易空间中。为了揭示手性晶体的自旋结构，我们使用自旋和角度分辨光发射光谱法研究了具有最简单手性结构的p型半导体元素碲中的自旋和电子结构。我们的数据表明，穿过费米能级的最高价带具有自旋分量，该分量与布里渊区角附近的电子动量平行。值得注意的是，我们还证实了具有相反手性的晶体中的自旋极化是反向的。