Bulk Dirac points in distorted spinels.
Open accessAbstract
We report on a Dirac-like Fermi surface in three-dimensional bulk materials in a distorted spinel structure on the basis of density functional theory as well as tight-binding theory. The four examples we provide in this Letter are BiZnSiO4, BiCaSiO4, BiAlInO4, and BiMgSiO4. A necessary characteristic of these structures is that they contain a Bi lattice which forms a hierarchy of chainlike substructures, with consequences for both fundamental understanding and materials design.
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Class II Dirac points are allowed for a TRIM on a two-fold symmetry axis; the singularity predicted at the T point in body-centered orthorhombic BiZnSiO4 is an example.
“Class II DP's are allowed for a TRIM on a two fold symmetry axis and in fact the singularity predicted at the T point in the body centered orthorhombic BiZnSiO 4 (space group 74 ( Imma )) is an just such an example (Steinberg et al. , 2014).”
From Weyl and Dirac semimetals in three-dimensional solids (2018) · cites this paper as Steinberg et al., 2014
The paper reports that orthorhombic space group 74 hosts a Dirac point at T and predicts that BiZnSiO4 has that degeneracy (p. 1; Fig. 3, p. 2). It mentions an axis of twofold rotation, but does not identify T as a TRIM on that axis or state the claimed Class II rule. (LLM, conf=0.85)
Experimental — accuracy not yet measuredDSMs host Dirac fermions as low-energy quasiparticle excitations.
“DSMs host Dirac fermions as low-energy quasiparticle excitations (12-14, 38, 126-131).”
From Transport of Topological Semimetals (2019) · cites this paper as [130]
A Dirac semimetal can appear as a robust electronic phase that is stable over a range of Hamiltonian control parameters.
“However, as pointed out by Steinberg et al. , 2014; Wang et al. , 2012; Young et al. , 2012 a DSM can also appear as a robust electronic phase that is stable over a range of Hamiltonian control parameters.”
From Weyl and Dirac semimetals in three-dimensional solids (2018) · cites this paper as Steinberg et al., 2014
Space groups that allow such point degeneracies have been studied (Michel and Zak, 1999) and identified for specific crystal structures both with and without spin-orbit coupling in two (Damljanovic and Gajic, 2016; Young and Kane, 2015) and in three dimensions (Mañes, 2012; Steinberg et al., 2014; Young et al., 2012).
“Space groups that allow such point degeneracies have been studied (Michel and Zak, 1999) and identified for specific crystal structures both with and without spin-orbit coupling in two (Damljanovic and Gajic, 2016; Young and Kane, 2015) and in three dimensions (Ma˜ nes, 2012; Steinberg et al. , 2014; Young et al. , 2012).”
From Weyl and Dirac semimetals in three-dimensional solids (2018) · cites this paper as Steinberg et al., 2014
Material realizations that also satisfy the band filling constraint have been proposed (Gibson et al., 2015; Steinberg et al., 2014; Young and Kane, 2015; Young et al., 2012).
“Material realizations that also satisfy the band filling constraint have been proposed (Gibson et al. , 2015; Steinberg et al. , 2014; Young and Kane, 2015; Young et al. , 2012).”
From Weyl and Dirac semimetals in three-dimensional solids (2018) · cites this paper as Steinberg et al., 2014
Related and possibly more stable forms of Bi-derived Dirac semimetals have been predicted for quaternary compounds in the family BiBSiO4 with B=Zn, Ca, Mg in a distorted spinel structure.
“Related and possibly more stable forms of Bi-derived DSMs have also been predicted for quarternary compounds in the family BiBSiO 4 with B = { Zn , Ca , Mg } in a distorted spinel structure (Steinberg et al. , 2014).”
From Weyl and Dirac semimetals in three-dimensional solids (2018) · cites this paper as Steinberg et al., 2014
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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
“Class II DP’s are allowed for a TRIM on a two fold symmetry axis and in fact the singularity predicted at the T point in the body centered orthorhombic BiZnSiO4 (space group 74 (Imma)) is an just such an example (Steinberg et al., 2014).”
BackgroundMethodInfluentialSelf-citationBeyond Dirac and Weyl fermions: Unconventional quasiparticles in conventional crystals
Bradlyn, B., Cano, J., Wang, Z., Vergniory, M. G., Felser, C., Cava, R. J., & Bernevig, B. A. (2016) · Science · doi:10.1126/science.aaf5037 · Cited by 1,252 · see citing works
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Yang, B.-J., & Nagaosa, N. (2014) · Nature Communications · doi:10.1038/ncomms5898 · Cited by 864 · see citing works
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Kim, Y., Wieder, B. J., Kane, C. L., & Rappe, A. M. (2015) · Physical Review Letters · doi:10.1103/physrevlett.115.036806 · Cited by 832 · see citing works
Self-citationHe, L. P., Hong, X. C., Dong, J. K., Pan, J., Zhang, Z., Zhang, J., & Li, S. Y. (2014) · Physical Review Letters · doi:10.1103/physrevlett.113.246402 · Cited by 478 · see citing works
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Chiu, C.-K., & Schnyder, A. P. (2014) · Physical Review B · doi:10.1103/physrevb.90.205136 · Cited by 339 · see citing works
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Hu, J., Xu, S.-Y., Ni, N., & Mao, Z. (2019) · Annual Review of Materials Research · doi:10.1146/annurev-matsci-070218-010023 · Cited by 265 · see citing works
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Self-citationObservation of three-dimensional massless Kane fermions in a zinc-blende crystal
Orlita, M., Basko, D. M., Zholudev, M. S., Teppe, F., Knap, W., Gavrilenko, V. I., Mikhailov, N. N., Dvoretskii, S. A., Neugebauer, P., Faugeras, C., et al. (2014) · Nature Physics · doi:10.1038/nphys2857 · Cited by 244 · see citing works
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Weyl and Dirac Semimetals in Three Dimensional Solids
Armitage, N. P., Mele, E. J., & Vishwanath, A. (2017) · arXiv
“Class II DP’s are allowed for a TRIM on a two fold symmetry axis and in fact the singularity predicted at the T point in the body centered orthorhombic BiZnSiO4 (space group 74 (Imma)) is an just such an example (Steinberg et al., 2014).”
BackgroundMethodInfluentialSelf-citation
- Authors
- Steinberg, J. A., Young, S. M., Zaheer, S., Kane, C. L., Mele, E. J., & Rappe, A. M.
- Affiliations
- University of Pennsylvania (US)
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2014-01-22
- Volume
- 112
- Issue
- 3
- Pages
- 036403-036403
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W1788280989
- Cited by
- 174
- References
- 3
- Citations by year
- 2026: 8 · 2025: 5 · 2024: 3 · 2023: 5 · 2022: 12 · 2021: 18 · 2020: 19 · 2019: 16 · 2018: 36 · 2017: 21 · 2016: 13 · 2015: 9 · 2014: 8 · 2013: 1
- FWCI
- 8.46
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- 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)
- Bulletin of the American Physical Society
- Funders
- National Science Foundation (DMR11-24696, DMR09-06175)
- 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 › Physics and Astronomy › Condensed Matter Physics › Physics of Superconductivity and Magnetism
- Keywords
- Dirac point, bismuth silicate, topological band structure
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