The progress of quantum anomalous Hall effect in graphene and the state-of-art applications

Authors

  • Yiyang Gu

DOI:

https://doi.org/10.54097/hset.v5i.746

Keywords:

Quantum Hall effect, graphene, Quantum Anomalous Hall effect.

Abstract

Contemporarily, the researches of the quantum Hall effect (QAHE) leads an intensive potentiality of topological insulators and corresponding quantum computing. The QAHE was considered as the last member of the family of Hall effect. In this paper, the history and development of QAHE will be introduced, together with the theoretical prediction and experimental observations. The relative application of normal QAHE and high temperature QAHE are discussed for the potential guiding meaning. The reveal of experimental observed QAHE may shed a light on guiding further explorations of QAHE and the state-of-art applicetions (e.g., quantum com).

Downloads

Download data is not yet available.

References

B. I. Halperin, Quantized Hall conductance, current-carrying edge states, and the existence of extended states in a two-dimensional disordered potential[J], Physical Review B, 1982, 25(2185)

Nagaosa N, et al., Anomalous Hall effect[J], Reviews of Modern Physics, 2010, 82(1539)

Haldane F D M, Model for a Quantum Hall Effect without Landau Levels: Condensed-Matter Realization of the "Parity Anomaly"[J], Phys. Rev. Lett., 1988, 61 2015.

Klitzing K V, et al., New Method for High-Accuracy Determination of the Fine-Structure Constant Based on Quantized Hall Resistance[J], 1980 Phys. Rev. Lett. 45 494

Xiao-Liang Qi, et al., Topological field theory of time-reversal invariant insulators[J], 2008 Rev. Phys. B 195424.

Cui-Zu Chang and Mingda Li, Quantum anomalous Hall effect in time-reversal-symmetry breaking topological insulators[J], Phys. Condens. Matter, IOP Science, 2016, 28(123002)

Daniel E. Sheehy and Jörg Schmalian, Optical transparency of graphene as determined by the fine-structure constant[J], Phys. Rev. B, 2009, 80, 193411.

C. Li, et al., Proximity-Induced Superconductivity in Scalable Topological Insulator/Graphene/Gallium Heterostructure, arXiv:2205.02806 [cond-mat.mes-hall], 2022

H. Zhang, et al., Thermal and thermoelectric properties of an antiferromagnetic topological insulator MnBi_2 Te_4[J], arxiv: 2205.02262, 2022.

Chang C Z, Zhang J, Feng X, et al. Experimental observation of the quantum anomalous Hall effect in a magnetic topological insulator[J]. Science, 2013, 340(6129): 167-170.

Xiao-Liang Qi and Shou-Cheng Zhang, Topological insulators and superconductors[J], Rev. Mod. Phys. 83, 1057, 2011.

Chen Y J, Xu L X, Li J H, et al. Topological electronic structure and its temperature evolution in antiferromagnetic topological insulator MnBi 2 Te 4[J]. Physical Review X, 2019, 9(4): 041040.

S. Song et al., Designer magnetic topological graphene nanoribbons[J], arXiv:2204.12880 [cond-mat.mes-hall], 2022

Stormer H L, et al., The fractional quantum Hall effect[J], Rev. Mod. Phys. 71 S298, 1999.

Gao R, et al. Quantum anomalous Hall effect in Mn Bi 2 Te 4 van der Waals heterostructures[J]. Physical Review Materials, 2021, 5(11): 114201.

Downloads

Published

07-07-2022

How to Cite

Gu, Y. . (2022). The progress of quantum anomalous Hall effect in graphene and the state-of-art applications. Highlights in Science, Engineering and Technology, 5, 223-228. https://doi.org/10.54097/hset.v5i.746