Nature of Integer Quantum Hall Transitions
Mesoscale and Nanoscale Physics
2007-05-23 v1
Abstract
The mapping between the metal-insulator transition of the quantum Hall system and a superfluid-to-insulator transition is revisited based on a disordered anyon model. The one-parameter scaling of the superfluid-to-insulator transition is employed for the analysis of the scaling behavior of the integer quantum Hall transitions. The analysis reveals the direct transition from a quantum Hall plateau to the insulator in weak disorder limit, and a float-down transition for strong disorders. In either cases, the transition corresponds to a non-chirality superfluid-to-insulator transition, with the longitudinal and transverse quantum Hall conductivities following a semi-circle relation.
Cite
@article{arxiv.cond-mat/0208114,
title = {Nature of Integer Quantum Hall Transitions},
author = {Xiao-Qian Wang},
journal= {arXiv preprint arXiv:cond-mat/0208114},
year = {2007}
}