Topological Insulation And Bi2Se3 a Three-Dimensional Topological Insulator

International Journal of Mathematics Trends and Technology (IJMTT)
© 2021 by IJMTT Journal
Volume-67 Issue-4
Year of Publication : 2021
Authors : Abdul Qauom Shadab


MLA Style: Abdul Qauom Shadab  "Topological Insulation And Bi2Se3 a Three-Dimensional Topological Insulator" International Journal of Mathematics Trends and Technology 67.4 (2021):10-19. 

APA Style: Abdul Qauom Shadab(2021). Topological Insulation And Bi2Se3 a Three-Dimensional Topological Insulator International Journal of Mathematics Trends and Technology, 10-19.

Topological insulators are materials that in bulk mode have band gap such as an ordinary insulator but can protect the conduction mode at the edge or surface, i.e. apart from a simple and insulated metal. These materials are insulator in their bulk modes but are metal at the surface. Topological insulators are developed in two and three dimensions. Recently, compounds of the Bi2Se3 have attracted a huge attention because of existence of a Dirac cone in their surface state, having a suitable bandgap (0.3 eV), and easy santhesis. In this research, we investigate the properties of this material using density functional theory. The main focus is on bulk calculations and surface properties. The band structure of this material is studied in bulk mode without any consideration of spin - orbit interaction. Then a surface of this material is considered and its band structure and density of states are studied. The results show that the surface of this material has a Dirac cone


[1] Moore, J. E.,The birth of topological insulators, Nature, 464(7286) (2010) 194.
[2] Bernevig, B. A., Hughes, T. L., and Zhang, S.-C., Quantum spin Hall effect and topological phase transition in HgTe quantum wells, Science, 314(5806) (2006) 1757-1761.
[3] König, M. et al., The quantum spin Hall effect: theory and experiment, Journal of the Physical Society of Japan, 77(3) (2008) 031007.
[4] Hasan, M. Z. and Kane, C. L., Colloquium: topological insulators, Reviews of modern physics, 82(4) (2010) 3045.
[5] Gehring, P. et al., A natural topological insulator, Nano letters,13(3) (2013) 1179-1184.
[6] Hasan, M. Z. and Kane, C. L., Colloquium: Topological insulators, Reviews of Modern Physics, 82(4) (2010) 3045-3067.
[7] Kane, C. L., Condensed matter: An insulator with a twist, Nature Physics, 4(5) (2008) 348.
[8] Liu, Z., Liu, C.-X., Wu, Y.-S., Duan, W.-H., Liu, F., and Wu, J., Stable nontrivial Z 2 topology in ultrathin Bi (111) films: a first-principles study, Physical review letters, 107(13) (2011) 136805.
[9] Fu, L., Kane, C. L., and Mele, E. J., Topological insulators in three dimensions, Physical review letters, 98(10) (2007) 106803.
[10] Lin, H., Markiewicz, R. S., Wray, L. A., Fu, L., Hasan, M. Z., and Bansil, A., Single-Dirac-Cone topological surface states on pseudo-IV-VI-semimetal/semiconductors: Thallium-based III-V-VI2 Ternary Chalcogenides, arXiv preprint arXiv:1003.2615, (2010).
[11] Maciejko, J., Liu, C., Oreg, Y., Qi, X.-L., Wu, C., and Zhang, S.-C., Kondo effect in the helical edge liquid of the quantum spin Hall state, Physical review letters, 102(25) (2009) 256803.
[12] Pertsova, A. and Canali, C. M., Probing the wavefunction of the surface states in Bi2Se3 topological insulator: a realistic tight-binding approach, New Journal of Physics, 16(6) (2014) 063022.
[13] Zhang, W., Yu, R., Zhang, H.-J., Dai, X., and Fang, Z., First-principles studies of the three-dimensional strong topological insulators Bi2Te3, Bi2Se3 and Sb2Te3, New Journal of Physics, 12(6) (2010) 065013.
[14] Hixson, R. S. and Fritz, J. N., Shock compression of tungsten and molybdenum, Journal of Applied Physics,71(4) (1992) 1721-1728.

Keywords : Density Function Theory; B2Se3;Topological Insulator, Band Structure, Dirac Cone, Metal