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26 April 2024 |
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Article overview
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Gapless Criterion for Crystals from Effective Axion Field | Jiabin Yu
; Zhi-Da Song
; Chao-Xing Liu
; | Date: |
3 Mar 2020 | Abstract: | Gapless criteria that can efficiently determine whether a crystal is gapless
or not are particularly useful for identifying topological semimetals. In this
work, we propose a sufficient gapless criterion for three-dimensional
non-interacting crystals, based on the simplified expressions for the bulk
average value of the static axion field. The brief logic is that two different
simplified expressions give the same value in an insulator, and thus the
gapless phase can be detected by the mismatch of them. We apply the gapless
criterion to the magnetic systems with space groups 26 and 13, where mirror,
glide, and inversion symmetries provide the simplified expressions, and find
that it can be effective in systems with or without spin-orbit coupling. In
particular, the gapless criterion can identify gapless phases that are missed
by the symmetry-representation approach, as illustrated by space group 26. Our
proposal serves as a guiding principle for future discovery of topological
semimetals. | Source: | arXiv, 2003.1275 | Services: | Forum | Review | PDF | Favorites |
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