The DOI matches its Crossref record; 67 of the 67 references it cites were found in a registry or an index.
Topological quantum properties of chiral crystals
Open accessAbstract
Chiral crystals are materials with a lattice structure that has a well-defined handedness due to the lack of inversion, mirror or other roto-inversion symmetries. Although it has been shown that the presence of crystalline symmetries can protect topological band crossings, the topological electronic properties of chiral crystals remain largely uncharacterized. Here we show that Kramers–Weyl fermions are a universal topological electronic property of all non-magnetic chiral crystals with spin–orbit coupling and are guaranteed by structural chirality, lattice translation and time-reversal symmetry. Unlike conventional Weyl fermions, they appear at time-reversal-invariant momenta. We identify representative chiral materials in 33 of the 65 chiral space groups in which Kramers–Weyl fermions are relevant to the low-energy physics. We determine that all point-like nodal degeneracies in non-magnetic chiral crystals with relevant spin–orbit coupling carry non-trivial Chern numbers. Kramers–Weyl materials can exhibit a monopole-like electron spin texture and topologically non-trivial bulk Fermi surfaces over an unusually large energy window.Kramers–Weyl fermions are identified in chiral crystals, and their phenomenology is drawn out.
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Cites
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Self-citationWIEN2k: An Augmented Plane Wave Plus Local Orbitals Program for Calculating Crystal Properties
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Cited by
Weyl and Dirac semimetals in three-dimensional solids
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“Recently, Chang et al., 2016e; Wang et al., 2016h proposed candidates for magnetic Weyl semimetals based on the Co-based magnetic Heusler compounds XCo2Z (X=V,Zr,Ti,Nb,Hf, Z=Si,Ge,Sn), VCo2Al and VCo2Ga.”
BackgroundMethodResultInfluentialCrystal time-reversal symmetry breaking and spontaneous Hall effect in collinear antiferromagnets
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Chiral topological semimetal with multifold band crossings and long Fermi arcs
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Topological Semimetals from First Principles
Gao, H., Venderbos, J. W. F., Kim, Y., & Rappe, A. M. (2019) · Annual Review of Materials Research · doi:10.1146/annurev-matsci-070218-010049 · Cited by 263
Helicity-dependent photocurrents in the chiral Weyl semimetal RhSi
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Metadata
- Authors
- Chang, G., Wieder, B. J., Schindler, F., Sanchez, D. S., Belopolski, I., Huang, S.-M., Singh, B., Wu, D., Chang, T.-R., Neupert, T., Xu, S.-Y., Lin, H., & Hasan, M. Z.
- Venue
- Nature Materials
- Published
- 2018-10-01
- Volume
- 17
- Issue
- 11
- Pages
- 978-985
- ISSN
- 1476-1122 (ISSN-L)
- 1476-4660
- OpenAlex
- W2894012057
- Cited by
- 447
- References
- 67
- FWCI
- 18.34
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Chang, G., Wieder, B. J., Schindler, F., Sanchez, D. S., Belopolski, I., Huang, S.-M., Singh, B., Wu, D., Chang, T.-R., Neupert, T., Xu, S.-Y., Lin, H., & Hasan, M. Z. (2018). Topological quantum properties of chiral crystals. Nature Materials. https://doi.org/10.1038/s41563-018-0169-3
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