Numerical Study of the Localization Length Critical Index in a Network Model of Plateau-Plateau Transitions in the Quantum Hall Effect

作者：Amado M^*; Malyshev A V; Sedrakyan A; Dominguez Adame F

来源：Physical Review Letters, 2011, 107(6): 066402.

DOI：10.1103/PhysRevLett.107.066402

We calculate numerically the localization length critical index within the Chalker-Coddington model of the plateau-plateau transitions in the quantum Hall effect. We report a finite-size scaling analysis using both the traditional power-law corrections to the scaling function and the inverse logarithmic ones, which provided a more stable fit resulting in the localization length critical index v = 2.616 +/- 0.014. We observe an increase of the critical exponent v with the system size, which is possibly the origin of discrepancies with early results obtained for smaller systems.

• 出版日期2011-8-3