Fluctuating Hall resistance defeats the quantized Hall insulator

Details Fluctuating Hall resistance defeats the quantized Hall insulator Fluctuating Hall resistance defeats the quantized Hall insulator

2003-09-29

arxiv.org/abs/cond-mat/0309669v2

EuroPhys. Lett. 66, 104-110 (2004)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

major revision, discussion of averaging improved; 8 pages, 7 figures; accepted for publication in EPL

Scientific paper

10.1209/epl/i2003-10148-5

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 approx. 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 ->\infty the Hall insulator with diverging Hall resistance R_H \propto R_L^kappa is seen. The crossover between these two regimes depends on the precise nature of the averaging procedure.

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