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Z2 invariant protected bound states in topological insulators
Wen-Yu Shan, Jie Lu, Hai-Zhou Lu +1
We present an exact solution of a modifed Dirac equation for topological insulator in the presence of a hole or vacancy to demonstrate that vacancies may induce bound states in the…
Topological insulator and the Dirac equation
Shun-Qing Shen, Wen-Yu Shan, Hai-Zhou Lu
We present a general description of topological insulators from the point of view of Dirac equations. The Z_{2} index for the Dirac equation is always zero, and thus the Dirac equa…
Surface and Edge States in Topological Semi-metals
Rui-Lin Chu, Wen-Yu Shan, Jie Lu +1
We study the topologically non-trivial semi-metals by means of the 6-band Kane model. Existence of surface states is explicitly demonstrated by calculating the LDOS on the material…
Effective continuous model for surface states and thin films of three dimensional topological insulators
Wen-Yu Shan, Hai-Zhou Lu, Shun-Qing Shen
Two-dimensional effective continuous models are derived for the surface states and thin films of the three-dimensional topological insulator (3DTI). Starting from an effective mode…