Journal
LOCALISATION 2011: PROCEEDINGS OF THE SATELLITE CONFERENCE OF LT 26
Volume 11, Issue -, Pages 114-119Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S2010194512005995
Keywords
quantum spin Hall transition; critical exponent; network model
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Funding
- Grants-in-Aid for Scientific Research [23540376, 11J03743] Funding Source: KAKEN
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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 +/- 0.02 that is consistent with that for topologically trivial symplectic systems.
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