Kazuto Ebihara, Keiji Yada, Ai Yamakage, Yukio Tanaka
Published 2011-11-15, updated 2012-01-09Version 2
Energy gap and wave function in thin films of topological insulator is studied, based on tight--binding model. It is revealed that thickness dependence of the magnitude of energy gap is composed of damping and oscillation. The damped behavior originates from the presence of gapless surface Dirac cone in the infinite thickness limit. On the other hand, the oscillatory behavior stems from electronic properties in the thin thickness limit.
Barrier and finite size effects on the extension of topological surface-states into magnetic insulators
Topological Band Systems and Finite Size Effects
Spin-directed network model for the surface states of weak three-dimensional $\mathbb{Z}^{\,}_{2}$ topological insulators
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