Double Dirac Semimetals in Three Dimensions.
Open accessAbstract
We study a class of Dirac semimetals that feature an eightfold-degenerate double Dirac point. We show that 7 of the 230 space groups can host such Dirac points and argue that they all generically display linear dispersion. We introduce an explicit tight-binding model for space groups 130 and 135. Space group 135 can host an intrinsic double Dirac semimetal with no additional states at the Fermi energy. This defines a symmetry-protected topological critical point, and we show that a uniaxial compressive strain applied in different directions leads to topologically distinct insulating phases. In addition, the double Dirac semimetal can accommodate topological line defects that bind helical modes. Connections are made to theories of strongly interacting filling-enforced semimetals, and potential materials realizations are discussed.
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New fermion types with no counterpart in high-energy physics can emerge in lattices.
“Moreover, the fact that the strict symmetries of free space do not necessarily hold in a lattice, means that new fermion types with no counterpart in high-energy physics (Bradlyn et al. , 2016; Soluyanov et al. , 2015; Wieder et al. , 2016; Xu et al. , 2015e), can emerge (e.g. Type II Weyl, Spin-1 Weyl, Double Dirac etc.).”
From Weyl and Dirac semimetals in three-dimensional solids (2018) · cites this paper as Wieder et al., 2016
This double Dirac semimetal can be gapped into a trivial or topological insulator by applying strain.
“This double Dirac semimetal can be gapped into a trivial or topological insulator by applying strain.”
From Weyl and Dirac semimetals in three-dimensional solids (2018) · cites this paper as Wieder et al., 2016
Earlier Wieder et al., 2016 proposed the existence of 'double-Dirac' semimetals with an 8-fold degenerate touching in crystals with a non-symmorphic space groups.
“In keeping with this general picture, earlier Wieder et al. , 2016 proposed the existence of 'double-Dirac' semimetals with an 8-fold degenerate touching in crystals with a non-symmorphic space groups.”
From Weyl and Dirac semimetals in three-dimensional solids (2018) · cites this paper as Wieder et al., 2016
Cites
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Weyl and Dirac semimetals in three-dimensional solids
Armitage, N. P., Mele, E. J., & Vishwanath, A. (2018) · Reviews of Modern Physics · doi:10.1103/revmodphys.90.015001 · Cited by 4,528 · see citing works
“…the strict symmetries of free space do not necessarily hold in a lattice, means that new fermion types with no counterpart in high-energy physics (Bradlyn et al., 2016; Soluyanov et al., 2015; Wieder et al., 2016; Xu et al., 2015e), can emerge (e.g. Type II Weyl, Spin-1 Weyl, Double Dirac etc.).”
BackgroundBeyond Dirac and Weyl fermions: Unconventional quasiparticles in conventional crystals
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Unconventional Chiral Fermions and Large Topological Fermi Arcs in RhSi
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Self-citationTransport of Topological Semimetals
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Self-citationRecent Progress in the Study of Topological Semimetals
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Weyl and Dirac Semimetals in Three Dimensional Solids
Armitage, N. P., Mele, E. J., & Vishwanath, A. (2017) · arXiv
“…the strict symmetries of free space do not necessarily hold in a lattice, means that new fermion types with no counterpart in high-energy physics (Bradlyn et al., 2016; Soluyanov et al., 2015; Wieder et al., 2016; Xu et al., 2015e), can emerge (e.g. Type II Weyl, Spin-1 Weyl, Double Dirac etc.).”
Background
- Authors
- Wieder, B. J., Kim, Y., Rappe, A. M., & Kane, C. L.
- Affiliations
- University of Pennsylvania (US)
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2016-05-05
- Volume
- 116
- Issue
- 18
- Pages
- 186402-186402
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2188764493
- Cited by
- 345
- References
- 7
- Citations by year
- 2026: 11 · 2025: 24 · 2024: 21 · 2023: 29 · 2022: 40 · 2021: 50 · 2020: 34 · 2019: 37 · 2018: 39 · 2017: 46 · 2016: 13 · 2013: 1
- FWCI
- 21.28
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Licence
- Locations
- Physical Review Letters (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information) (submittedVersion)
- arXiv (Cornell University)
- Funders
- National Science Foundation (DMR 1120901)
- Simons Foundation
- U.S. Department of Energy (DE-FG02-07ER46431)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Topological Materials and Phenomena
- Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Advanced Condensed Matter Physics
- Physical Sciences › Materials Science › Materials Chemistry › 2D Materials and Applications
- Keywords
- space groups, tight-binding model, uniaxial strain, topological line defects, helical modes, linear dispersion
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