Misc,

Quantum spin Hall effect in 2D topological insulators

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(2011)cite arxiv:1107.3378 Comment: 11 pages, 5 figures, submitted to Proceedings of the SPIE Spintronics IV conference (21-25 August 2011, San Diego, USA), minor corrections of the previous version.

Abstract

The original motivation of great interest to topological insulators was the hope to observe the quantum spin Hall effect. Therefore if a material is in the topological insulator state they frequently call it the quantum spin Hall state. However, despite impressive experimental results confirming the existence of the quantum spin Hall state, the quantum spin Hall effect has not yet been detected. After a short overview of what was originally suggested as the quantum spin Hall effect (quantum spin conductance determined by the topological Chern number) the paper analyzes the crucial role of the boundary condition on the observation of the effect and finally discusses whether and how the quantum spin Hall effect could be observed.

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