Fluctuating Hall resistance defeats the quantized Hall insulator
Philipp Cain, Rudolf A. Roemer
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 RH approx. h/e2 is observed up to RL ~25 h/e2 when studying the most probable value of the distribution function P(RH). Upon further increasing RL ->∞ the Hall insulator with diverging Hall resistance RH RLkappa is seen. The crossover between these two regimes depends on the precise nature of the averaging procedure.
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