Abstract
We develop the theory describing the topological electronic states on the surface of a gapless strained semiconductor arisen from the mixing of conduction and valence bands. It follows from the present theory that the strain-induced band gap in the Brillouin zone center of the semiconductor results in the surface electronic states with the Dirac linear dispersion characteristic for topologically protected states. The structure of these surface electronic states is studied analytically near their Dirac point within the formalism based on the Luttinger Hamiltonian. The results bring attention to the rich surface physics relevant for topological systems.
Similar content being viewed by others
REFERENCES
M. Z. Hasan and C. L. Kane, Rev. Mod. Phys. 82, 3045 (2010).
C. L. Kane and E. J. Mele, Phys. Rev. Lett. 95, 146802 (2005).
L. Fu and C. L. Kane, Phys. Rev. B 76, 045302 (2007).
L. Fu, C. L. Kane, and E. J. Mele, Phys. Rev. Lett. 98, 106803 (2007).
J. E. Moore and L. Balents, Phys. Rev. B 75, 121306(R) (2007).
R. Roy, Phys. Rev. B 79, 195322 (2009).
Y. Xia, D. Qian, D. Hsieh, L. Wray, A. Pal, H. Lin, A. Bansil, D. Grauer, Y. S. Hor, R. J. Cava, and M. Z. Hasan, Nat. Phys. 5, 398 (2009).
H. Zhang, C.-X. Liu, X.-L. Qi, X. Dai, Z. Fang, and S.-C. Zhang, Nat. Phys. 5, 438 (2009).
Y. L. Chen, J. G. Analytis, J.-H. Chu, Z. K. Liu, S.-K. Mo, X. L. Qi, H. J. Zhang, D. H. Lu, X. Dai, Z. Fang, S. C. Zhang, I. R. Fisher, Z. Hussain, and Z.-X. Shen, Science (Washington, DC, U. S.) 325, 178 (2009).
D. Yudin, O. V. Kibis, and I. V. Shelykh, New J. Phys. 18, 103014 (2016).
M. Hasan, D. Yudin, I. V. Iorsh, O. Eriksson, and I. A. Shelykh, Phys. Rev. B 96, 205127 (2017).
A. A. Pervishko, D. Yudin, and I. A. Shelykh, Phys. Rev. B 97, 075420 (2018).
V. K. Kozin, I. V. Iorsh, O. V. Kibis, and I. A. Shelykh, Phys. Rev. B 97, 035416 (2018).
O. Kyriienko, O. V. Kibis, and I. A. Shelykh, Phys. Rev. B 99, 115411 (2019).
O. V. Kibis, O. Kyriienko, and I. A. Shelykh, New. J. Phys. 21, 043016 (2019).
X. Dai, T. L. Hughes, X.-L. Qi, Z. Fang, and S.-C. Zhang, Phys. Rev. B 77, 125319 (2008).
C. Brüne, C. X. Liu, E. G. Novik, E. M. Hankiewicz, H. Buhmann, Y. L. Chen, X. L. Qi, Z. X. Shen, S. C. Zhang, and L. W. Molenkamp, Phys. Rev. Lett. 106, 126803 (2011).
J. Ruan, S.-K. Jian, H. Yao, H. Zhang, S.-C. Zhang, and D. Xing, Nat. Commun. 7, 11136 (2016).
G. L. Bir and G. E. Pikus, Symmetry and Strain-Induced Effects in Semiconductors (Wiley, New York, 1974).
Funding
The work was partially supported by Russian Foundation for Basic Research (project 17-02-00053), Rannis project 163082-051, Ministry of Science and High Education of Russian Federation (projects 3.8051.2017/8.9, 3.4573.2017/6.7, 3.2614.2017/4.6, 14.Y26.31.0015), and the Government of the Russian Federation through the ITMO Fellowship and Professorship Program.
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
There is no conflict of interest.
Rights and permissions
About this article
Cite this article
Kibis, O.V., Kyriienko, O. & Shelykh, I.A. Topological Electronic States on the Surface of a Strained Gapless Semiconductor. Semiconductors 53, 1867–1869 (2019). https://doi.org/10.1134/S1063782619140100
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063782619140100