The Quantum Anomalous Hall Effect: Theory and Experiment
Open accessAbstract
The quantum anomalous Hall effect is defined as a quantized Hall effect realized in a system without an external magnetic field. The quantum anomalous Hall effect is a novel manifestation of topological structure in many-electron systems and may have potential applications in future electronic devices. In recent years, the quantum anomalous Hall effect was proposed theoretically and realized experimentally. In this review article, we provide a systematic overview of the theoretical and experimental developments in this field.
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Because the Fermi level crosses the gapped cones and the band dispersion is extremely linear over a wide energy range, WHMs are established as topological nodal-line semimetals.
“Because the Fermi level crosses the gapped cones and the band dispersion is extremely linear over a wide energy range, WHMs have been established as topological NLSMs (78,85,154).”
From Transport of Topological Semimetals (2019) · cites this paper as [78]
Section 3.1 discusses the Fermi energy and band dispersion of HgTe and InAs/GaSb quantum wells, not WHMs. Searches for WHMs, gapped cones, and nodal-line semimetals found no passage in our copy addressing the claim; page numbers were not provided. (LLM, conf=0.78)
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Topological Spin Texture in a Quantum Anomalous Hall Insulator
Wu, J., Liu, J., & Liu, X.-J. (2014) · Physical Review Letters · doi:10.1103/physrevlett.113.136403 · Cited by 74 · see citing works
Double Perovskite Heterostructures: Magnetism, Chern Bands, and Chern Insulators
Cook, A. M., & Paramekanti, A. (2014) · Physical Review Letters · doi:10.1103/physrevlett.113.077203 · Cited by 68 · see citing works
Kim, H., Kim, K., Wang, J.-F., Kulbachinskii, V. A., Ogawa, K., Sasaki, M., Akira Ohnishi, A., Kitaura, M., Wu, Y., Li, L., et al. (2013) · Physical Review Letters · doi:10.1103/physrevlett.110.136601 · Cited by 61 · see citing works
Quantum Spin Hall and Quantum Anomalous Hall States Realized in Junction Quantum Wells
Zhang, H., Xu, Y., Wang, J., Chang, K., & Zhang, S. (2014) · Physical Review Letters · doi:10.1103/physrevlett.112.216803 · Cited by 59 · see citing works
Self-citationTopological phases in layered pyrochlore oxide thin films along the [111] direction
Hu, X. F., Rüegg, A., & Fiete, G. A. (2012) · Physical Review B · doi:10.1103/physrevb.86.235141 · Cited by 58 · see citing works
Interaction-induced quantum anomalous Hall phase in (111) bilayer of LaCoO3
Wang, Y., Wang, Z., Fang, Z., & Dai, X. (2015) · Physical Review B · doi:10.1103/physrevb.91.125139 · Cited by 58 · see citing works
Integer and fractional quantum anomalous Hall effect in a strip of stripes model
Klinovaja, J., Tserkovnyak, Y., & Loss, D. (2015) · Physical Review B · doi:10.1103/physrevb.91.085426 · Cited by 50 · see citing works
Chiral interconnects based on topological insulators
Zhang, X., & Zhang, S.-C. (2012) · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · doi:10.1117/12.920325 · Cited by 49 · see citing works
Self-citationQuantum anomalous Hall phase in (001) double-perovskite monolayers via intersite spin-orbit coupling
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Ferromagnetism in Bi 2 Se 3 :Mn epitaxial layers
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Self-citationPhysical realization of the parity anomaly and quantum hall effect
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Flagged first, then by citations
Research works printed but not linked: 2
- [22]22. Buhmann H, Liu J, Gui YS, Daumer V, Koenig M, et al. 2003. Proc. 15th Int. Conf. High Magn. Fields Semicond. Phys., Oxford, United Kingdom, August 5-9, 2002, ed. AR Long, JH Davies, IOP Conf. Proc. No. 171. Bristol: Inst. Phys.
- [32]32. Kou X, Pan L, Wang J, Fan Y, Choi ES, et al. 2015. Nat. Comm. In press. arXiv:1503.04150 · arXiv
Cited by
Sorted by citations
Giant anomalous Hall effect in a ferromagnetic kagome-lattice semimetal
Liu, E., Sun, Y., Kumar, N., Muechler, L., Sun, A., Jiao, L., Yang, S.-Y., Liu, D., Liang, A., Xu, Q., et al. (2018) · Nature Physics · doi:10.1038/s41567-018-0234-5 · Cited by 1,367 · see citing works
Transport of Topological Semimetals
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
- Authors
- Liu, C.-X., Zhang, S.-C., & Qi, X.-L.
- Affiliations
- Pennsylvania State University (US)
- Department of Physics, Stanford University, Stanford, CA 94305;,
- Stanford University (US)
- Venue
- Annual Review of Condensed Matter Physics
- Publisher
- Annual Reviews
- Published
- 2016-03-10
- Volume
- 7
- Issue
- 1
- Pages
- 301-321
- ISSN
- 1947-5454 (ISSN-L)
- 1947-5462
- OpenAlex
- W1936942997
- Semantic Scholar
- 6a6f4427bbef246aa48e0a0ffec21486229bdac8
- Cited by
- 617
- References
- 120
- Citations by year
- 2026: 44 · 2025: 63 · 2024: 78 · 2023: 74 · 2022: 86 · 2021: 88 · 2020: 59 · 2019: 53 · 2018: 28 · 2017: 32 · 2016: 12
- FWCI
- 2.08
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Annual Review of Condensed Matter Physics (publishedVersion)
- Funders
- National Science Foundation (1305677, 1151786)
- U.S. Department of Energy (76SF00515, DE–AC02–76SF00515, AC02‐76SF00515, DE-AC02-)
- Division of Materials Research
- Basic Energy Sciences (DE-AC02, 76SF00515, AC02-76SF00515, DE-AC-02-76SF00515)
- 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 › Atomic and Molecular Physics, and Optics › Magnetic properties of thin films
- Keywords
- quantum anomalous Hall effect, quantum Hall effect, topological insulators, topological phases, many-electron systems, zero magnetic field, electronic devices
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
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