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

Shuichi Murakami

doi:10.1088/1367-2630/9/9/356

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arXiv · 0710.0930

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

Shuichi Murakami

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Abstract

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

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Shuichi Murakami. 2007-10-04. Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase. https://doi.org/10.1088/1367-2630%2F9%2F9%2F356

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