Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2008-05-27
Phys. Rev. B 78, 115301 (2008)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
12 pages, 13 figures, selected for an Editors' Suggestion in PRB
Scientific paper
10.1103/PhysRevB.78.115301
Static disorder in a noninteracting gas of electrons confined to two dimensions can drive a continuous quantum (Anderson) transition between a metallic and an insulating state when time-reversal symmetry is preserved but spin-rotation symmetry is broken. The critical exponent $\nu$ that characterizes the diverging localization length and the bulk multifractal scaling exponents that characterize the amplitudes of the critical wave functions at the metal-insulator transition do not depend on the topological nature of the insulating state, i.e., whether it is topologically trivial (ordinary insulator) or nontrivial (a $Z_2$ insulator supporting a quantum spin Hall effect). This is not true of the boundary multifractal scaling exponents which we show (numerically) to depend on whether the insulating state is topologically trivial or not.
Furusaki Akira
Mudry Christopher
Obuse Hideaki
Ryu Shinsei
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