Abstract
The Dirac equation is a key to the door of topological insulators and superconductors. A quadratic correction to the equation makes it topologically distinct. The solution of the bound states near the boundary reflects the topology of the band structure of the system.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
P.A.M. Dirac, Proc. R. Soc. A 117, 610 (1928)
P.A.M. Dirac, Principles of Quantum Mechanics, 4th edn. (Clarendon, Oxford, 1982)
R. Jackiw, C. Rebbi, Phys. Rev. D 13, 3398 (1976)
S.Q. Shen, W.Y. Shan, H.Z. Lu. SPIN 1, 33 (2011)
B. Zhou, H.Z. Lu, R.L. Chu, S.Q. Shen, Q. Niu, Phys. Rev. Lett. 101, 246807 (2008)
D.J. Thouless, M. Kohmoto, M.P. Nightingale, M. den Nijs, Phys. Rev. Lett. 49, 405 (1982)
H.Z. Lu, W.Y. Shan, W. Yao, Q. Niu, S.Q. Shen, Phys. Rev. B 81, 115407 (2010)
W.Y. Shan, H.Z. Lu, S.Q. Shen, New J. Phys. 12, 043048 (2010)
Y. Hatsugai, Phys. Rev. Lett. 71, 3697 (1993)
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2012 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Shen, SQ. (2012). Starting from the Dirac Equation. In: Topological Insulators. Springer Series in Solid-State Sciences, vol 174. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-32858-9_2
Download citation
DOI: https://doi.org/10.1007/978-3-642-32858-9_2
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-32857-2
Online ISBN: 978-3-642-32858-9
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)