Localization of the Hall resistivity at high magnetic fields: Absence of the quantized Hall insulator

U. Zülicke, Efrat Shimshoni

Research output: Contribution to journalConference articlepeer-review

3 Scopus citations


We present a real-space renormalization-group study of 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.

Original languageEnglish
Pages (from-to)674-677
Number of pages4
JournalPhysica E: Low-Dimensional Systems and Nanostructures
Issue number1-4
StatePublished - Jan 2002
Externally publishedYes
Event14th International Conference on the - Prague, Czech Republic
Duration: 30 Jul 20013 Aug 2001

Bibliographical note

Funding Information:
We thank A. Auerbach, O. Entin-Wohlmann, F. Evers, Y. Gefen, B. Huckestein, A. MacKinnon, A. Mirlin, L. Pryadko, B. Shapiro, D. Sheng, S. Sondhi, and I. Zharekeshev for useful discussions. This work was supported by the DIP project of the German Ministry for Education and Research (BMBF), Grant No. 96–00294 from the United States–Israel Binational Science Foundation (BSF), and the Aspen Center for Physics. U.Z. thanks the Institute of Theoretical Physics at the Technion for hospitality during two visits when part of this research was performed.


  • 2D localization
  • Quantized Hall insulator
  • Real-space renormalization grop


Dive into the research topics of 'Localization of the Hall resistivity at high magnetic fields: Absence of the quantized Hall insulator'. Together they form a unique fingerprint.

Cite this