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Carrier mediated ferromagnetism on the surface of a topological insulator

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Abstract

We study the effect of magnetic doping at the surface of a three dimensional topological insulator (TI) on emergence of ferromagnetic ordering at the TI-surface assuming the exchange coupling between the Dirac fermions and the dilute magnetic ions. We show that this coupling results in an uniaxial magnetic anisotropy with out-of-plane magnetization direction. It is found that the system under consideration is unstable with respect to a spontaneous uniform magnetization along the easy axis, which is accompanied by opening a gap in a spectrum of the Dirac surface states. In the framework of a mean-field approach, we study the possibility of ferromagnetic order on the magnetically doped surface of TI at different temperatures and positions of the chemical potential.

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References

  1. M. Z. Hasan and C. L. Kane, Rev. Mod. Phys. 82, 3045 (2010).

    Article  ADS  Google Scholar 

  2. G. E. Volovik, JETP Lett. 91, 55 (2010).

    Article  ADS  Google Scholar 

  3. L. Fu and C. L. Kane, Phys. Rev. Lett. 102, 216403 (2009).

    Article  ADS  Google Scholar 

  4. A. R. Akhmerov, J. Nilsson, and C. W. J. Beenakker, Phys. Rev. Lett. 102, 216404 (2009).

    Article  ADS  Google Scholar 

  5. V. A. Volkov and T. N. Pinsker, Sov. Phys. Solid State 23, 1022 (1981).

    Google Scholar 

  6. B. A. Volkov and O. A. Pankratov, JETP Lett. 42, 178 (1985).

    ADS  Google Scholar 

  7. M. König, S. Wiedmann, C. Brüne, et al., Science 318, 766 (2007).

    Article  ADS  Google Scholar 

  8. H. Zhang, C. X. Liu, X. L. Qi, et al., Nature Phys. 5, 438 (2009).

    Article  ADS  Google Scholar 

  9. S. V. Eremeev, Yu. M. Koroteev, and E. V. Chulkov, JETP Lett. 91, 387 (2010).

    Article  ADS  Google Scholar 

  10. O. V. Yazyev, J. E. Moore, and S. G. Louie, Phys. Rev. Lett. 105, 266806 (2010).

    Article  ADS  Google Scholar 

  11. B. Yan, C. X. Liu, H. J. Zhang, et al., Europhys. Lett. 90, 37002 (2010).

    Article  ADS  Google Scholar 

  12. S. V. Eremeev, Yu. M. Koroteev, and E. V. Chulkov, JETP Lett. 91, 594 (2010).

    Article  ADS  Google Scholar 

  13. H. Lin, R. S. Markiewicz, L. A. Wray, et al., Phys. Rev. Lett. 105, 036404 (2010).

    Article  ADS  Google Scholar 

  14. S. V. Eremeev, G. Bihlmayer, M. Vergniory, et al., Phys. Rev. B 83, 205129 (2011).

    Article  ADS  Google Scholar 

  15. K. Kuroda, M. Arita, K. Miyamoto, et al., Phys. Rev. Lett. 105, 076802 (2010).

    Article  ADS  Google Scholar 

  16. K. Kuroda, M. Ye, A. Kimura, et al., Phys. Rev. Lett. 105, 146801 (2010).

    Article  ADS  Google Scholar 

  17. W.-K. Tse and A. H. MacDonald, Phys. Rev. Lett. 105, 057401 (2010).

    Article  ADS  Google Scholar 

  18. T. Yokoyama and S. Murakami, Phys. Rev. B 83, 161407 (2011); T. Yokoyama, Y. Tanaka, and N. Nagaosa, Phys. Rev. B 81, 121401 (2010); T. Yokoyama, J. Zang, and N. Nagaosa, Phys. Rev. B 81, 241410 (2010).

    Article  ADS  Google Scholar 

  19. Q. Li, P. Ghost, J. D. Sau, et al., Phys. Rev. B 83, 085110 (2011).

    Article  ADS  Google Scholar 

  20. I. Garate and M. Franz, Phys. Rev. Lett. 104, 146802 (2010).

    Article  ADS  Google Scholar 

  21. O. A. Pankratov, Phys. Lett. A 121, 360 (1987).

    Article  ADS  Google Scholar 

  22. R. R. Biswas and A. V. Balatsky, Phys. Rev. B 81, 233405 (2010).

    Article  ADS  Google Scholar 

  23. Q. Liu, C.-X. Liu, C. Xu, et al., Phys. Rev. Lett. 102, 156603 (2009).

    Article  ADS  Google Scholar 

  24. D. A. Abanin and D. A. Pesin, Phys. Rev. Lett. 106, 136802 (2011).

    Article  ADS  Google Scholar 

  25. J. Gao, W. Chen, X. C. Xie, and F. Zhang, Phys. Rev. B 80, 241302 (2009).

    Article  ADS  Google Scholar 

  26. F. Ye, G. H. Ding, H. Zhai and Z. B. Su, Eur. Phys. Lett. 90, 47001 (2010).

    Article  ADS  Google Scholar 

  27. J.-J. Zhu, D.-X. Yao, S.-C. Zhang, and K. Chang, Phys. Rev. Lett. 106, 097201 (2011).

    Article  ADS  Google Scholar 

  28. J. Choi, S. Choi, J. Choi, et al., Phys. Status Solidi B 241, 1541 (2004).

    Article  ADS  Google Scholar 

  29. Y. S. Hor, P. Roushan, H. Beidenkopf, et al., Phys. Rev. B 81, 195203 (2010).

    Article  ADS  Google Scholar 

  30. Y. L. Chen, J.-H. Chu, J. G. Analytis, et al., Science 329, 659 (2010).

    Article  ADS  Google Scholar 

  31. V. A. Kulbachinskii, A. Yu. Kaminskii, K. Kindo, et al., Physica B 311, 292 (2002).

    Article  ADS  Google Scholar 

  32. R. Yu, W. Zhang, H.-J. Zhang, et al., Science 329, 61 (2010).

    Article  ADS  Google Scholar 

  33. Y. Okada, C. Dhital, W. Zhou, et al., Phys. Rev. Lett. 106, 206805 (2011).

    Article  ADS  Google Scholar 

  34. L. A. Wray, S.-Y. Xu, Y. Xia, et al., Nature Phys. 7, 32 (2011).

    Article  ADS  Google Scholar 

  35. Z.-H. Pan, D. R. Gardner, S. Chu, et al., condmat/1104.0966v1.

  36. M. R. Scholz, J. Sánchez-Barrigal, D. Marchenko, et al., cond-mat/1108.1037v1.

  37. T. Jungwirth, J. Sinova, J. Mašek, et al., Rev. Mod. Phys. 78, 809 (2006).

    Article  ADS  Google Scholar 

  38. J.-H. Jiang and S. Wu, Phys. Rev. B 83, 205124 (2011).

    Article  ADS  Google Scholar 

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Correspondence to V. N. Men’shov.

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Men’shov, V.N., Tugushev, V.V. & Chulkov, E.V. Carrier mediated ferromagnetism on the surface of a topological insulator. Jetp Lett. 94, 629–634 (2011). https://doi.org/10.1134/S0021364011200100

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  • DOI: https://doi.org/10.1134/S0021364011200100

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