The DOI matches its Crossref record; 33 of the 33 references it cites were found in a registry or an index.
Line of Dirac Nodes in Hyperhoneycomb Lattices
Open accessAbstract
We propose a family of structures that have "Dirac loops," closed lines of Dirac nodes in momentum space, on which the density of states vanishes linearly with energy. Those lattices all possess the planar trigonal connectivity present in graphene, but are three dimensional. We show that their highly anisotropic and multiply connected Fermi surface leads to quantized Hall conductivities in three dimensions for magnetic fields with toroidal geometry. In the presence of spin-orbit coupling, we show that those structures have topological surface states. We discuss the feasibility of realizing the structures as new allotropes of carbon.
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Citations
Cites
The electronic properties of graphene
Castro Neto, A. H., Guinea, F., Peres, N. M. R., Novoselov, K. S., & Geim, A. K. (2009) · Reviews of Modern Physics · doi:10.1103/revmodphys.81.109 · Cited by 24,803
Colloquium : Topological insulators
Hasan, M. Z., & Kane, C. L. (2010) · Reviews of Modern Physics · doi:10.1103/revmodphys.82.3045 · Cited by 19,930
Topological insulators and superconductors
Qi, X.-L., & Zhang, S.-C. (2011) · Reviews of Modern Physics · doi:10.1103/revmodphys.83.1057 · Cited by 14,394
Quantum Spin Hall Effect in Graphene
Kane, C. L., & Mele, E. J. (2005) · Physical Review Letters · doi:10.1103/physrevlett.95.226801 · Cited by 8,197
Quantized Hall Conductance in a Two-Dimensional Periodic Potential
Thouless, D. J., Kohmoto, M., Nightingale, M. P., & den Nijs, M. (1982) · Physical Review Letters · doi:10.1103/physrevlett.49.405 · Cited by 6,973
Berry phase effects on electronic properties
Xiao, D., Chang, M.-C., & Niu, Q. (2010) · Reviews of Modern Physics · doi:10.1103/revmodphys.82.1959 · Cited by 5,277
Anyons in an exactly solved model and beyond
Kitaev, A. (2006) · Annals of Physics · doi:10.1016/j.aop.2005.10.005 · Cited by 5,245
Wan, X., Turner, A. M., Vishwanath, A., & Savrasov, S. Y. (2011) · Physical Review B · doi:10.1103/physrevb.83.205101 · Cited by 4,718
Topological Insulators in Three Dimensions
Fu, L., Kane, C. L., & Mele, E. J. (2007) · Physical Review Letters · doi:10.1103/physrevlett.98.106803 · Cited by 4,651
Burkov, A. A., Hook, M. D., & Balents, L. (2011) · Physical Review B · doi:10.1103/physrevb.84.235126 · Cited by 1,677
Cited by
Topological nodal line semimetals with and without spin-orbital coupling
Fang, C., Chen, Y., Kee, H.-Y., & Fu, L. (2015) · Physical Review B · doi:10.1103/physrevb.92.081201 · Cited by 921
Dirac Line Nodes in Inversion-Symmetric Crystals
Kim, Y., Wieder, B. J., Kane, C. L., & Rappe, A. M. (2015) · Physical Review Letters · doi:10.1103/physrevlett.115.036806 · Cited by 832
Topological nodal line semimetals
Fang, C., Weng, H., Dai, X., & Fang, Z. (2016) · Chinese Physics B · doi:10.1088/1674-1056/25/11/117106 · Cited by 819
Ca3P2and other topological semimetals with line nodes and drumhead surface states
Chan, Y.-H., Chiu, C.-K., Chou, M. Y., & Schnyder, A. P. (2016) · Physical Review B · doi:10.1103/physrevb.93.205132 · Cited by 386
Nodal surface semimetals: Theory and material realization
Wu, W., Liu, Y., Li, S., Zhong, C., Yu, Z.-M., Sheng, X.-L., Zhao, Y. X., & Yang, S. A. (2018) · Physical Review B · doi:10.1103/physrevb.97.115125 · Cited by 346
Metadata
- Authors
- Mullen, K., Uchoa, B., & Glatzhofer, D. T.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2015-07-09
- Volume
- 115
- Issue
- 2
- Pages
- 026403-026403
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W1495019493
- Cited by
- 307
- References
- 33
- FWCI
- 25.81
- Type
- journal article
- Language
- en
- Open access
- green
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- Mullen, K., Uchoa, B., & Glatzhofer, D. T. (2015). Line of Dirac Nodes in Hyperhoneycomb Lattices. Physical Review Letters. https://doi.org/10.1103/physrevlett.115.026403
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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