期刊
PHYSICAL REVIEW E
卷 96, 期 2, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.96.023310
关键词
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资金
- Ecole Normale Superieure and Laboratoire de Physique Theorique et Hautes Energies
- Spanish MINECO [FIS2016-75862-P, FIS2013-48286-C2-1-P]
- Government of the Basque Country [IT779-13]
- Spanish Ministry of Economy and Competitiveness
- FEDER [MAT2015-66441-P]
- NSF EAGER [DMR-1643312, ONR-N00014-14-1-0330]
- ARO MURI [W911NF-12-1-0461]
- NSF-MRSEC [DMR-1420541]
- Department of Energy [de-sc0016239]
- Simons Investigator Award
- Packard Foundation
- Schmidt Fund for Innovative Research
Topological phases of noninteracting particles are distinguished by the global properties of their band structure and eigenfunctions in momentum space. On the other hand, group theory as conventionally applied to solid-state physics focuses only on properties that are local (at high-symmetry points, lines, and planes) in the Brillouin zone. To bridge this gap, we have previously [Bradlyn et al., Nature (London) 547, 298 (2017)] mapped the problem of constructing global band structures out of local data to a graph construction problem. In this paper, we provide the explicit data and formulate the necessary algorithms to produce all topologically distinct graphs. Furthermore, we show how to apply these algorithms to certain elementary band structures highlighted in the aforementioned reference, and thus we identified and tabulated all orbital types and lattices that can give rise to topologically disconnected band structures. Finally, we show how to use the newly developed BANDREP program on the Bilbao Crystallographic Server to access the results of our computation.
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