Abstract
The axion insulator which may exhibit an exotic quantized magnetoelectric effect1,2,3,4,5,6 is one of the most interesting quantum phases predicted for the three-dimensional topological insulator (TI). The axion insulator state is expected to show up in magnetically doped TIs with magnetizations pointing inwards and outwards from the respective surfaces. Towards the realization of the axion insulator, we here engineered a TI heterostructure in which magnetic ions (Cr) are modulation-doped only in the vicinity of the top and bottom surfaces of the TI ((Bi,Sb)2Te3) film7. A separation layer between the two magnetic layers weakens interlayer coupling between them, enabling the magnetization reversal of individual layers. We demonstrate the realization of the axion insulator by observing a zero Hall plateau (ZHP) (where both the Hall and longitudinal conductivity become zero) in the electric transport properties, excluding the other possible origins for the ZHP8,9,10. The manifestation of the axion insulator can lead to a new stage of research on novel magnetoelectric responses in topological matter.
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References
Hasan, M. Z. & Kane, C. L. Colloquium: topological insulators. Rev. Mod. Phys. 82, 3045–3067 (2010).
Qi, X.-L. & Zhang, S.-C. Topological insulators and superconductors. Rev. Mod. Phys. 83, 1057–1110 (2011).
Qi, X.-L., Hughes, T. L. & Zhang, S.-C. Topological field theory of time-reversal invariant insulators. Phys. Rev. B 78, 195424 (2008).
Wilczek, F. Two applications of axion electrodynamics. Phys. Rev. Lett. 58, 1799–1802 (1987).
Essin, A. M., Moore, J. E. & Vanderbilt, D. Magnetoelectric polarizability and axion electrodynamics in crystalline insulators. Phys. Rev. Lett. 102, 146805 (2009).
Nomura, K. & Nagaosa, N. Surface-quantized anomalous Hall current and the magneto electric effect in magnetically disordered topological insulators. Phys. Rev. Lett. 106, 166802 (2011).
Mogi, M. et al. Magnetic modulation doping in topological insulators toward higher-temperature quantum anomalous Hall effect. Appl. Phys. Lett. 107, 182401 (2015).
Wang, J., Lian, B., Zhang, H. & Zhang, S.-C. Universal scaling of the quantum anomalous Hall plateau transition. Phys. Rev. B 89, 085106 (2014).
Feng, Y. et al. Observation of the zero Hall plateau in a quantum anomalous Hall insulator. Phys. Rev. Lett. 115, 126801 (2015).
Kou, X. et al. Metal-to-insulator switching in quantum anomalous Hall states. Nat. Commun. 6, 8474 (2015).
Brüne, C. et al. Quantum Hall effect from the topological surface states of strained bulk HgTe. Phys. Rev. Lett. 106, 126803 (2011).
Ren, Z. et al. Large bulk resistivity and surface quantum oscillations in the topological insulator Bi2Te2Se. Phys. Rev. B 82, 241306 (2010).
Zhang, J. et al. Band structure engineering in (Bi1−xSbx)2Te3 ternary topological insulators. Nat. Commun. 2, 574 (2011).
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).
Yu, R. et al. Quantized anomalous Hall effect in magnetic topological insulators. Science 329, 61–64 (2010).
Chang, C.-Z. et al. Experimental observation of the quantum anomalous Hall effect in a magnetic topological insulator. Science 340, 167–170 (2013).
Chang, C.-Z. et al. High-precision realization of robust quantum anomalous Hall state in a hard ferromagnetic topological insulator. Nat. Mater. 14, 473–477 (2015).
Morimoto, T., Furusaki, A. & Nagaosa, N. Topological magnetoelectric effects in thin films of topological insulators. Phys. Rev. B 92, 085113 (2015).
Wang, J., Lian, B., Qi, X.-L. & Zhang, S.-C. Quantized topological magnetoelectric effect of the zero-plateau quantum anomalous Hall state. Phys. Rev. B 92, 081107 (2015).
Fu, H.-H., Lu, J.-T. & Gao, J.-H. Finite-size effects in the quantum anomalous Hall system. Phys. Rev. B 89, 205431 (2014).
Morimoto, T., Furusaki, A. & Nagaosa, N. Charge and spin transport in edge channels of a ν = 0 quantum Hall system on the surface of topological insulators. Phys. Rev. Lett. 114, 146803 (2015).
Liu, C.-X. et al. Oscillatory crossover from two dimensional to three dimensional topological insulators. Phys. Rev. B 81, 041307(R) (2010).
Zhang, Y. et al. Crossover of the three-dimensional topological insulator Bi2Se3 to the two-dimensional limit. Nat. Phys. 6, 584–588 (2010).
Wang, J., Lian, B., Zhang, H. & Zhang, S.-C. Anomalous edge transport in the quantum anomalous Hall state. Phys. Rev. Lett. 111, 086803 (2013).
Kou, X. et al. Scale-invariant quantum anomalous Hall effect in magnetic topological insulators beyond the two-dimensional limit. Phys. Rev. Lett. 113, 137201 (2014).
Kandala, A., Richardella, A., Kempinger, S., Liu, C.-X. & Samarth, N. Giant anisotropic magnetoresistance in a quantum anomalous Hall insulator. Nat. Commun. 6, 7434 (2015).
Feng, X. et al. Thickness dependence of the quantum anomalous Hall effect in magnetic topological insulator films. Adv. Mater. 28, 6386–6390 (2016).
Checkelsky, J. G. et al. Trajectory of the anomalous Hall effect towards the quantized state in a ferromagnetic topological insulator. Nat. Phys. 10, 731–736 (2014).
Kivelson, S., Lee, D.-H. & Zhang, S.-C. Global phase diagram in the quantum Hall effect. Phys. Rev. B 46, 2223–2238 (1992).
Burgess, C. P., Dib, R. & Dolan, B. P. Derivation of the semicircle law from the law of corresponding states. Phys. Rev. B 62, 15359–15362 (2000).
Acknowledgements
We thank J. Wang, T. Morimoto and N. Nagaosa for fruitful discussions. We thank T. Yokouchi for experimental support. This research was supported by the Japan Society for the Promotion of Science through the Funding Program for World-Leading Innovative R & D on Science and Technology (FIRST Program) on ‘Quantum Science on Strong Correlation’ initiated by the Council for Science and Technology Policy, JSPS/MEXT Grant-in-Aid for Scientific Research (No. 24224009, 24226002, 15H05867), and CREST, JST.
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M.M. and R.Y. grew and characterized the samples. M.M. and M.Kawamura conducted the device fabrication. M.Kawamura, M.M., R.Y. and Y.K. performed transport measurements. N.S. and M.M. conducted magnetization measurements. M.M. and M.Kawamura analysed the data. A.T., K.S.T., M.Kawasaki and Y.T. contributed to discussion of the results and guided the project. Y.T. conceived and coordinated the project.
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Mogi, M., Kawamura, M., Yoshimi, R. et al. A magnetic heterostructure of topological insulators as a candidate for an axion insulator. Nature Mater 16, 516–521 (2017). https://doi.org/10.1038/nmat4855
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DOI: https://doi.org/10.1038/nmat4855
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