Quantum anomalous Hall effect and related topological electronic states
By H. Weng, R. Yu, Xiao Hu, X. Dai, Z. Fang. 2015
406 citations recorded by the source corpus.
Over a long period of exploration, the successful observation of quantized version of anomalous Hall effect (AHE) in thin film of magnetically doped topological insulator (TI) completed a quantum Hall trio—quantum Hall effect (QHE), quantum spin Hall effect (QSHE), and quantum anomalous Hall effect (QAHE). On the theoretical front, it was understood that the intrinsic AHE is related to Berry curvature and U(1) gauge field in momentum space. This understanding established connection between the QAHE and the topological properties of electronic structures characterized by the Chern number. With the time-reversal symmetry (TRS) broken by magnetization, a QAHE system carries dissipationless charge current at edges, similar to the QHE where an external magnetic field is necessary. The QAHE and corresponding Chern insulators are also closely related to other topological electronic states, such as TIs and topological semimetals, which have been extensively studied recently and have been known to exist in various compounds. First-principles electronic structure calculations play important roles not only for the understanding of fundamental physics in this field, but also towards the prediction and realization of realistic compounds. In this article, a theoretical review on the Berry phase mechanism and related topological electronic states in terms of various topological invariants will be given with focus on the QAHE and Chern insulators. We will introduce the Wilson loop method and the band inversion mechanism for the selection and design of topological materials, and discuss the predictive power of first-principles calculations. Finally, remaining issues, challenges and possible applications for future investigations in the field will be addressed.
Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics, Materials Chemistry
View Paper: https://www.semanticscholar.org/paper/7728621ef273bde862f9c7811e7782793cb65955
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Atomic and Molecular Physics, and Optics
In Condensed Matter Physics
In Materials Chemistry
Citations in the corpus
- Chemical Aspects of the Candidate Antiferromagnetic Topological Insulator MnBi2Te4 (2018, background): “A magnetic topological insulator (TI) with large spin-orbit coupling could exhibit quantized resistance and, concurrently, one non-dissipative spin-polarized channel along the edges at room temperature (RT) without an external magnetic field.([5]) The QAHE was realized first in 2013 in a thin film o”
- Colloquium : Quantum anomalous Hall effect (2022, background): “…developments in the theory of the QAH effect, and the work responsible for the effect’s first experimental realization in magnetically doped TIs have both been discussed in a number of review papers (Chang and Li, 2016; He et al., 2018; Liu et al., 2016a; Tokura et al., 2019; Weng et al., 2015).”
- Evidence for Topological Edge States in a Large Energy Gap near the Step Edges on the Surface of ZrTe 5 (2016, methodology): “To largely reproduce the realistic (010) surface of the sample, we build a slabmodel with 9 unit cell thick along the b axis [29,30].”