Diversity of Radial Spin Textures in Chiral Materials

Abstract

We introduce a classification of the radial spin textures in momentum space that emerge at high-symmetry points in crystals characterized by non-polar chiral point groups ($D_2$, $D_3$, $D_4$, $D_6$, $T$, $O$). Based on the symmetry constraints imposed by these point groups in a vector field, we study the general expression for the radial spin textures up to third order in momentum. Furthermore, we determine the high-symmetry points of the 45 non-polar chiral space groups supporting a radial spin texture. These two principles are used to screen materials databases for archetypes that go beyond the basic hedgehog radial spin texture. Among the selected materials we highlight the axion insulator candidate ${\mathrm{Ta}}_2{\mathrm{Se}}_8\mathrm{I}$, the material proposed for dark matter detection ${\mathrm{Ag}}_3\mathrm{Au}{\mathrm{Te}}_2$ and heazlewoodite ${\mathrm{Ni}}_3{\mathrm{S}}_2$, a conventional metal predicted to exhibit current-induced spin polarization. We point out that the symmetry analysis proposed in this Letter is more general and extends to studying other vector properties in momentum space.

6 pages, 3 figures, 2 tables, Supplemental Material included as ancillary file (+11 pages)

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Cited by in corpus (8)

• Collinear Rashba-Edelstein effect in non-magnetic chiral materials
• Unconventional Josephson supercurrent diode effect induced by chiral spin-orbit coupling
• Universal symmetry-protected persistent spin textures in nonmagnetic solids
• Intrinsic Orbital Origin for the Chirality-Dependent Nonlinear Planar Hall Effect of Topological Nodal Fermions in Chiral Crystals
• Understanding spin textures in PT-broken systems through universal symmetry-constrained rules
• Persistent Spin Textures in Nonpolar Chiral Systems
• Standard model of electromagnetism and chirality in crystals
• Radial Rashba spin-orbit fields in commensurate twisted transition-metal dichalcogenide bilayers