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Published November 20, 2020 | Supplemental Material + Published
Journal Article Open

Radial Spin Texture of the Weyl Fermions in Chiral Tellurium


Trigonal tellurium, a small-gap semiconductor with pronounced magneto-electric and magneto-optical responses, is among the simplest realizations of a chiral crystal. We have studied by spin- and angle-resolved photoelectron spectroscopy its unconventional electronic structure and unique spin texture. We identify Kramers–Weyl, composite, and accordionlike Weyl fermions, so far only predicted by theory, and show that the spin polarization is parallel to the wave vector along the lines in k space connecting high-symmetry points. Our results clarify the symmetries that enforce such spin texture in a chiral crystal, thus bringing new insight in the formation of a spin vectorial field more complex than the previously proposed hedgehog configuration. Our findings thus pave the way to a classification scheme for these exotic spin textures and their search in chiral crystals.

Additional Information

© 2020 Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Received 22 July 2020; revised 15 September 2020; accepted 2 October 2020; published 19 November 2020. We acknowledge financial support by the Swiss National Science Foundation (SNSF), in particular L. T. acknowledges support under Grant No. 200020_188648, M. F. under Grant No. P2ELP2_181877, and S. M. under Grant No. P300P2-171221. D. G. M., S. S. T., and O. V. Y. acknowledge the support by the NCCR. S. S. T. acknowledges support from the European Union Horizon 2020 Research and Innovation Program (ERC-StG-Neupert-757867-PARATOP) and Swiss National Science Foundation (Grant No. PP00P2_176877). M. P., S. P., and M. C. acknowledge the support by the ERC Advanced Grant No. 695197 (DYNAMOX)) and the Swiss National Science Foundation NCCR:MUST Grant. We gratefully acknowledge support from the Department of Energy, Office of Science under Grant No. DE-FG02-07ER46405. J. W. acknowledges a National Science Foundation Graduate Research Fellowship under Grant No. 1144469. All first-principles calculations were performed at the Swiss National Supercomputing Centre (CSCS) under Projects No. s832 and No. s1008. We acknowledge Elettra Sincrotrone Trieste for providing access to its synchrotron radiation facilities. This work has been partly performed in the framework of the nanoscience foundry and fine analysis (NFFA-MIUR Italy Progetti Internazionali) facility. This research used resources of the Advanced Light Source, which is a DOE Office of Science User Facility, under Contract No. DE-AC02-05CH11231.

Attached Files

Published - PhysRevLett.125.216402.pdf

Supplemental Material - Gatti_Te_SuppMat_Submission.pdf


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August 20, 2023
October 20, 2023