Work

Fluctuating Hall resistance defeats the quantized Hall insulator

Year: 2004
Type: article
Abstract: 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.
Language: English
Open Access status: bronze
OpenAlex ID: W2073010306
FWCI: 0.614
Cites: 47
Cited by: 9
Related to: 10