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Bound states induced by a ferromagnetic delta-layer inserted into a three-dimensional topological insulator

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Abstract

We report on theoretical study of the bound electron states induced by a ferromagnetic delta-layer embedded into a narrow-band-gap semiconductor of the Bi2Se3-type which is a three-dimensional topological insulator with large spin-orbit coupling. We make use of an effective Hamiltonian taking into account the inverted band structure of the semiconductor host at the Γ point and describe the properties of the in-gap bound states: energy spectrum, characteristic length and spin polarization. We highlight a role of these states for a magnetic proximity effect in digital magnetic heterostructures based on the Bi2Se3-type semiconductors.

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References

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

    Article  ADS  Google Scholar 

  2. X.-L. Qi and S.-C. Zhang, Rev. Mod. Phys. 83, 1057 (2011).

    Article  ADS  Google Scholar 

  3. X.-L. Qi, T. L. Hughes, and S.-C. Zhang, Phys. Rev. B 78, 195424 (2008).

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  6. T. Fujita, M. B. A. Jalil, and S. G. Tan, Appl. Phys. Express 4, 094201 (2011).

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  9. I. Vobornik, U. Manju, J. Fujii, et al., Nano Lett. 11, 4079 (2011).

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  11. K. Kawakami, E. Johnston-Halperin, L. F. Chen, et al., Appl. Phys. Lett. 77, 2379 (2000).

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  13. Z. Zhou, Y.-J. Chien, and C. Uher, Phys. Rev. B 74, 224418 (2006).

    Article  ADS  Google Scholar 

  14. Z. Zhou, Y.-J. Chien, and C. Uher, Appl. Phys. Lett. 87, 112503 (2005).

    Article  ADS  Google Scholar 

  15. Z. Salman, E. Pomjakushina, V. Pomjakushin, et al., arXiv: 1203.4850, cond-mat (2012).

  16. H. Zhang, C.-X. Liu, X.-L. Qi, et al., Nature Phys. 5, 438 (2009); C.-X. Liu, X.-L. Qi, H. Zhang, et al., Phys. Rev. B 82, 045122 (2010).

    Article  ADS  Google Scholar 

  17. S. Caprara, V. V. Tugushev, P. M. Echenique, and E. V. Chulkov, Eur. Phys. Lett. 85, 27006 (2009); S. Caprara, V. V. Tugushev, and E. V. Chulkov, Phys. Rev. B 84, 085311 (2011).

    Article  ADS  Google Scholar 

  18. V. N. Men’shov, V. V. Tugushev, S. Caprara, et al., Phys. Rev. B 80, 035315 (2009); V. N. Men’shov, V. V. Tugushev, P. M. Echenique, et al., Phys. Rev. B 78, 024438 (2008).

    Article  ADS  Google Scholar 

  19. W.-Y. Shan, H.-Z. Lu, and S.-Q. Shen, New J. Phys. 12, 043048 (2010).

    Article  ADS  Google Scholar 

  20. B. Zhou, H.-Z. Lu, R.-L. Chu, et al., Phys. Rev. Lett. 101, 246807 (2008).

    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. Bound states induced by a ferromagnetic delta-layer inserted into a three-dimensional topological insulator. Jetp Lett. 96, 445–451 (2012). https://doi.org/10.1134/S0021364012190113

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  • DOI: https://doi.org/10.1134/S0021364012190113

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