Phys. Rev. Lett. 82, 1253–1256 (1999)Hall Resistivity and Dephasing in the Quantum Hall InsulatorReceived 6 August 1998; published in the issue dated 8 February 1999 The long-standing problem of the Hall resistivity ρxy 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 ρxy scales with the longitudinal resistivity ρxx, and they both diverge exponentially with the dephasing length. In the Ohmic limit (where the dephasing length is shorter than the Hall puddle size), ρxy remains quantized and independent of ρxx. This suggests a new experimental probe for dephasing processes. © 1999 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.82.1253
DOI:
10.1103/PhysRevLett.82.1253
PACS:
73.40.Hm, 72.20.My
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