Quantum Breakdown of the Quantized Hall Insulator
Mesoscale and Nanoscale Physics
2009-11-07 v1
Abstract
We present an analytical scaling theory for localization in a two-dimensional hierarchical network model that is designed to represent phase-coherent electron transport in the quantum-Hall regime. Scaling expressions for both the longitudinal and Hall resistivities are derived. In agreement with recent numerical studies, we find that the Hall resistivity is quantized in the metallic phase but diverges in the insulating phase. This suggests that the characteristics of a quantized Hall insulator can occur only in the presence of a strong dephasing mechanism.
Cite
@article{arxiv.cond-mat/0101443,
title = {Quantum Breakdown of the Quantized Hall Insulator},
author = {U. Zuelicke and Efrat Shimshoni},
journal= {arXiv preprint arXiv:cond-mat/0101443},
year = {2009}
}
Comments
4 pages, 1 figure embedded in text