Quantum Breakdown of the Quantized Hall Insulator

Details Quantum Breakdown of the Quantized Hall Insulator Quantum Breakdown of the Quantized Hall Insulator

2001-01-29

arxiv.org/abs/cond-mat/0101443v1

Phys. Rev. B 63, 241301(R) (2001)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 1 figure embedded in text

Scientific paper

10.1103/PhysRevB.63.241301

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.

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