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

Shuichi Murakami
2007 New Journal of Physics  
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.
doi:10.1088/1367-2630/9/9/356 fatcat:xwzfqt337rej5o2ogi6hyyr63e