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Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase

Published 28 September 2007 Published under licence by IOP Publishing Ltd
, , Focus on Spintronics in Reduced Dimensions Citation Shuichi Murakami 2007 New J. Phys. 9 356 DOI 10.1088/1367-2630/9/9/356

This article is corrected by 2008 New J. Phys. 10 029802

1367-2630/9/9/356

Abstract

Phase transitions between the quantum spin Hall (QSH) and the insulator phases in three dimensions (3D) are studied. We find that in inversion-asymmetric systems there appears a gapless phase between the QSH and insulator phases in 3D which is in contrast with the 2D case. Existence of this gapless phase stems from a topological nature of gapless points (diabolical points) in 3D, but not in 2D.

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