Three-Dimensional Dirac Electrons at the Fermi Energy in Cubic Inverse Perovskites: Ca 3 PbO and Its Family
Open accessAbstract
The band structure of cubic inverse perovskites, Ca_3PbO and its family, are investigated with the first-principles method. A close observation of the band structure reveals that six equivalent Dirac electrons with a very small mass exist on the line connecting the Gamma- and X-points, and at the symmetrically equivalent points in the Brillouin zone. The discovered Dirac electrons are three-dimensional and remarkably located exactly at the Fermi energy. A tight-binding model describing the low-energy band structure is also constructed and used to discuss the origin of the Dirac electrons in this material. Materials related to Ca_3PbO are also studied, and some design principles for the Dirac electrons in this series of materials are proposed.
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A similar multi-Dirac point bandstructure is predicted for the Ca3PbO family of materials in a cubic inverse perovskite structure (Kariyado and Ogata, 2011).
“A similar multi-Dirac point bandstructure is predicted for the Ca 3 PbO family of materials in a cubic inverse perovskite structure (Kariyado and Ogata, 2011).”
From Weyl and Dirac semimetals in three-dimensional solids (2018) · cites this paper as Kariyado and Ogata, 2011
The space of candidate DSMs produced by band inversion is enlarged by considering ternary compounds (Du et al., 2015; Gibson et al., 2015; Kariyado and Ogata, 2011; Sklyadneva et al., 2016; Weng et al., 2016a).
“The space of candidate DSMs produced by band inversion is enlarged by considering ternary compounds (Du et al. , 2015; Gibson et al. , 2015; Kariyado and Ogata, 2011; Sklyadneva et al. , 2016; Weng et al. , 2016a).”
From Weyl and Dirac semimetals in three-dimensional solids (2018) · cites this paper as Kariyado and Ogata, 2011
Cites
Two-dimensional gas of massless Dirac fermions in graphene
Novoselov, K. S., Geim, A. K., Morozov, S. V., Jiang, D., Katsnelson, M. I., Grigorieva, I. V., Dubonos, S. V., & Firsov, A. A. (2005) · Nature · doi:10.1038/nature04233 · Cited by 21,611 · see citing works
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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
“A similar multi-Dirac point bandstructure is predicted for the Ca3PbO family of materials in a cubic inverse perovskite structure (Kariyado and Ogata, 2011).”
Background<i>Colloquium</i> : Topological band theory
Bansil, A., Lin, H., & Das, T. (2016) · Reviews of Modern Physics · doi:10.1103/revmodphys.88.021004 · Cited by 1,587 · see citing works
Weyl and Dirac Semimetals in Three Dimensional Solids
Armitage, N. P., Mele, E. J., & Vishwanath, A. (2017) · arXiv
“A similar multi-Dirac point bandstructure is predicted for the Ca3PbO family of materials in a cubic inverse perovskite structure (Kariyado and Ogata, 2011).”
Background
- Authors
- Kariyado, T., & Ogata, M.
- Affiliations
- The University of Tokyo (JP)
- Venue
- Journal of the Physical Society of Japan
- Publisher
- Physical Society of Japan
- Published
- 2011-08-15
- Volume
- 80
- Issue
- 8
- Pages
- 083704
- ISSN
- 0031-9015 (ISSN-L)
- 1347-4073
- OpenAlex
- W1997229701
- Cited by
- 93
- References
- 1
- Citations by year
- 2025: 4 · 2024: 5 · 2023: 6 · 2022: 5 · 2021: 10 · 2020: 12 · 2019: 10 · 2018: 8 · 2017: 9 · 2016: 7 · 2015: 8 · 2014: 4 · 2013: 2 · 2012: 3
- FWCI
- 1.56
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Journal of the Physical Society of Japan (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Funders
- Japan Society for the Promotion of Science
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Topological Materials and Phenomena
- Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Physics of Superconductivity and Magnetism
- Physical Sciences › Materials Science › Materials Chemistry › Electronic and Structural Properties of Oxides
- Keywords
- Fermi energy, electronic band structure, tight-binding model, Dirac cones, materials design
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