Hall Resistivity and Dephasing in the Quantum Hall Insulator

1998/08/31 by Leonid P. Pryadko, Assa Auerbach · 2 citations
Physics and Astronomy · #Magnetic properties of thin films #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #cond-mat.dis-nn #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevlett.82.1253

published as Phys. Rev. Lett. 82, 1253-6 (1999) · RevTeX, 4 pages, 3 figures included with epsf.sty

arxiv created 1998/11/25 · openalex publication_date 1999/02/08 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The long-standing problem of the Hall resistivity \ensuremathρ_xy in the Hall insulator phase is addressed using four-lead Chalker-Coddington networks. Electron interaction effects are introduced via a finite dephasing length. In the quantum coherent regime, we find that \ensuremathρ_xy scales with the longitudinal resistivity \ensuremathρ_xx, and they both diverge exponentially with the dephasing length. In the Ohmic limit (where the dephasing length is shorter than the Hall puddle size), \ensuremathρ_xy remains quantized and independent of \ensuremathρ_xx. This suggests a new experimental probe for dephasing processes.

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