Abstract
The discovery of the quantum Hall (QH) effect led to the realization of a topological electronic state with dissipationless currents circulating in one direction along the edge of a two-dimensional electron layer under a strong magnetic field1,2. The quantum anomalous Hall (QAH) effect shares a similar physical phenomenon to that of the QH effect, whereas its physical origin relies on the intrinsic spin–orbit coupling and ferromagnetism3,4,5,6,7,8,9,10,11,12,13,14,15,16. Here, we report the experimental observation of the QAH state in V-doped (Bi,Sb)2Te3 films with the zero-field longitudinal resistance down to 0.00013 ± 0.00007h/e2 (~3.35 ± 1.76 Ω), Hall conductance reaching 0.9998 ± 0.0006e2/h and the Hall angle becoming as high as 89.993° ± 0.004° at T = 25 mK. A further advantage of this system comes from the fact that it is a hard ferromagnet with a large coercive field (Hc > 1.0 T) and a relative high Curie temperature. This realization of a robust QAH state in hard ferromagnetic topological insulators (FMTIs) is a major step towards dissipationless electronic applications in the absence of external fields.
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References
Klitzing, K. v., Dorda, G. & Pepper, M. New method for high-accuracy determination of the fine-structure constant based on quantized Hall resistance. Phys. Rev. Lett. 45, 494–467 (1980).
Beenakker, C. W. J. & van Houten, H. Quantum transport in semiconductor nanostructures. Solid State Phys. 44, 1–228 (1991).
Haldane, F. D. M. Model for a quantum Hall effect without Landau levels: Condensed-matter realization of the ‘parity anomaly’. Phys. Rev. Lett. 61, 2015–2018 (1988).
Onoda, M. & Nagaosa, N. Quantized anomalous Hall effect in two-dimensional ferromagnets: Quantum Hall effect in metals. Phys. Rev. Lett. 90, 206601 (2003).
Liu, C. X. et al. Quantum anomalous Hall effect in Hg1−yMnyTe quantum wells. Phys. Rev. Lett. 101, 146802 (2008).
Qiao, Z. H. et al. Quantum anomalous Hall effect in graphene proximity coupled to an antiferromagnetic insulator. Phys. Rev. Lett. 112, 116404 (2014).
Qiao, Z. H. et al. Quantum anomalous Hall effect in graphene from Rashba and exchange effects. Phys. Rev. B 82, 161414(R) (2010).
Zhang, H. B. et al. Electrically tunable quantum anomalous Hall effect in graphene decorated by 5d transition-metal adatoms. Phys. Rev. Lett. 108, 056802 (2012).
Ezawa, M. Valley-polarized metals and quantum anomalous Hall effect in silicene. Phys. Rev. Lett. 109, 055502 (2012).
Nomura, K. et al. Surface-quantized anomalous Hall current and the magnetoelectric effect in magnetically disordered topological insulators. Phys. Rev. Lett. 106, 166802 (2011).
Garrity, K. F. & Vanderbilt, D. Chern insulators from heavy atoms on magnetic substrates. Phys. Rev. Lett. 110, 116802 (2013).
Yu, R. et al. Quantized anomalous Hall effect in magnetic topological insulators. Science 329, 61–64 (2010).
Qi, X. L., Hughes, T. L. & Zhang, S. C. Topological field theory of time-reversal invariant insulators. Phys. Rev. B 78, 195424 (2008).
Chang, C. Z. et al. Experimental observation of the quantum anomalous Hall effect in a magnetic topological insulator. Science 340, 167–170 (2013).
Kou, X. et al. Scale-invariant quantum anomalous Hall effect in magnetic topological insulators beyond two-dimensional limit. Phys. Rev. Lett. 113, 137201 (2014).
Checkelsky, J. G. et al. Trajectory of the anomalous Hall effect toward the quantized state in a ferromagnetic topological insulator. Nature Phys. 10, 731–736 (2014).
Chien, Y. J. Transition Metal-Doped Sb 2 Te 3 and Bi 2 Te 3 Diluted Magnetic Semiconductors PhD dissertation, Univ. Michigan (2007)
Dyck, J. S. et al. Diluted magnetic semiconductors based on Sb2−xVxTe3 (0.01 ≤ x ≤ 0.03). Phys. Rev. B 65, 115212 (2002).
Hor, Y. S. et al. Development of ferromagnetism in the doped topological insulator Bi2−xMnxTe3 . Phys. Rev. B 81, 195203 (2010).
Zhang, J. et al. Band structure engineering in (Bi1−xSbx)2Te3 ternary topological insulators. Nature Commun. 2, 574 (2011).
Chang, C. Z. et al. Thin films of magnetically doped topological insulator with carrier-independent long-range ferromagnetic order. Adv. Mater. 25, 1065–1070 (2013).
Arrott, A. Criterion for ferromagnetism from observations of magnetic isotherms. Phys. Rev. B 108, 1394–1396 (1957).
He, K. et al. Quantum anomalous Hall effect. Natl Sci. Rev. 1, 39–49 (2014).
Nagaosa, N. et al. Anomalous Hall effect. Rev. Mod. Phys. 82, 1539–1592 (2010).
Coey, J. M. D. Magnetism and Magnetic Materials (Cambridge Univ. Press, 2009).
Livingston, J. D. A review of coercivity mechanisms. J. Appl. Phys. 52, 2544–2548 (1981).
Coey, J. M. D. et al. Donor impurity band exchange in dilute ferromagnetic oxides. Nature Mater. 4, 173–179 (2005).
Acknowledgements
We are grateful to P. Wei, J. Liu, L. Fu, N. Samarth, J. Jain, G. Csathy and Z. Fang for helpful discussions, and F. Katmis, W. J. Fang, C. Settens and J. Kong for technical support in characterizing the samples. This research is supported by grants from NSF (DMR-1207469), NSF (DMR-0907007), NSF(ECCS-1402738), ONR (N00014-13-1-0301), NSF (DMR-0820404, DMR-1420620, Penn State MRSEC), NSF (DMR-1103159), DOE (DE-AC02-76SF00515), DARPA (N66001-11-1-4105) and the STC Center for Integrated Quantum Materials under NSF grant DMR-1231319.
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C-Z.C., M.H.W.C. and J.S.M. conceived and designed the research. C-Z.C. grew the material with the help of J.S.M. C-Z.C. performed characterization studies of the samples with the help of B.A.A. and D.H. W.Z. made the devices and performed the transport measurements with the help of C-Z.C., D.Y.K. and M.H.W.C. C.L., H.Z. and S-C.Z. provided theoretical support. C-Z.C., C.L. and M.H.W.C. analysed the data and wrote the manuscript with contributions from all authors.
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Chang, CZ., Zhao, W., Kim, D. et al. High-precision realization of robust quantum anomalous Hall state in a hard ferromagnetic topological insulator. Nature Mater 14, 473–477 (2015). https://doi.org/10.1038/nmat4204
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DOI: https://doi.org/10.1038/nmat4204
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