2003/09/30 by Philipp Cain, Rudolf A. Römer, Rudolf A. Roemer · 1 citation
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum many-body systems #cond-mat.dis-nn #cond-mat.mes-hall
paper · pdf · doi:10.1209/epl/i2003-10148-5
published as EuroPhys. Lett. 66, 104-110 (2004) · major revision, discussion of averaging improved; 8 pages, 7 figures; accepted for publication in EPL
arxiv created 2004/02/04 · openalex publication_date 2004/04/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
Using the Chalker-Coddington network model as a drastically simplified, but universal model of integer quantum Hall physics, we investigate the plateau-to-insulator transition at strong magnetic field by means of a real-space renormalization approach. Our results suggest that for a fully quantum coherent situation, the quantized Hall insulator with R H ≈ h / e 2 is observed up to R L ∼ 25 h / e 2 when studying the most probable value of the distribution function P ( R H ). Upon further increasing R L → ∞ , the Hall insulator with diverging Hall resistance R H ∝ R L κ is seen. The crossover between these two regimes depends on the precise nature of the averaging procedure.