期刊
SCIENCE
卷 365, 期 6459, 页码 1273-+出版社
AMER ASSOC ADVANCEMENT SCIENCE
DOI: 10.1126/science.aau8740
关键词
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资金
- NCCR MARVEL
- NCCR QSIT
- SNSF
- Microsoft Research
- Gordon and Betty Moore Foundation's EPiQS Initiative [GBMF4302]
Electron energy bands of crystalline solids generically exhibit degeneracies called band-structure nodes. Here, we introduce non-Abelian topological charges that characterize line nodes inside the momentum space of crystalline metals with space-time inversion ( PT) symmetry and with weak spin-orbit coupling. We show that these are quaternion charges, similar to those describing disclinations in biaxial nematics. Starting from two-band considerations, we develop the complete many-band description of nodes in the presence of PT and mirror symmetries, which allows us to investigate the topological stability of nodal chains in metals. The non-Abelian charges put strict constraints on the possible nodal-line configurations. Our analysis goes beyond the standard approach to band topology and implies the existence of one-dimensional topological phases not present in existing classifications.
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