Abstract
Recently it was shown [I. A. Gruzberg, A. Klümper, W. Nuding and A. Sedrakyan, Phys. Rev. B 95, 125414 (2017)] that taking into account random positions of scattering nodes in the network model with phase disorder yields a localization length exponent for plateau transitions in the integer quantum Hall effect. This is in striking agreement with the experimental value of . Randomness of the network was modeled by replacing standard scattering nodes of a regular network by pure tunneling (respectively, reflection) with probability where the particular value was chosen. Here we investigate the role played by the strength of the geometric disorder, i.e., the value of . We consider random networks with arbitrary probability for extreme cases and show the presence of a line of critical points with varying localization length indices having a minimum located at .
- Received 6 July 2019
- Revised 19 September 2019
DOI:https://doi.org/10.1103/PhysRevB.100.140201
©2019 American Physical Society