Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2009-12-22
Phys. Rev. Lett. 107, 066402 (2011)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
4 pages, 4 figures
Scientific paper
10.1103/PhysRevLett.107.066402
We calculate numerically the localization length critical index within the Chalker-Coddington (CC) model for plateau-plateau transitions in the quantum Hall effect. Lyapunov exponents have been calculated with relative errors on the order $10^{-3}$. Such high precision was obtained by considering the distribution of Lyapunov exponents for large ensembles of relatively short chains and calculating the ensemble average values. We analyze thoroughly finite size effects and find the localization length critical index $\nu= 2.517\pm 0.018$.
Amado Mario
Dominguez-Adame Francisco
Malyshev Victor A.
Sedrakyan Ara
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