Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2011-12-31
Physics
Condensed Matter
Disordered Systems and Neural Networks
5 pages, 4 figures, submitted to the proceedings of Localisation 2011
Scientific paper
We have estimated the critical exponent describing the divergence of the localization length at the metal-quantum spin Hall insulator transition. The critical exponent for the metal-ordinary insulator transition in quantum spin Hall systems is known to be consistent with that of topologically trivial symplectic systems. However, the precise estimation of the critical exponent for the metal-quantum spin Hall insulator transition proved to be problematic because of the existence, in this case, of edge states in the localized phase. We have overcome this difficulty by analyzing the second smallest positive Lyapunov exponent instead of the smallest positive Lyapunov exponent. We find a value for the critical exponent $\nu=2.73 \pm 0.02$ that is consistent with that for topologically trivial symplectic systems.
Kobayashi Koji
Ohtsuki Tomi
Slevin Keith
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