Fluctuating Hall resistance defeats the quantized Hall insulator

dc.creatorCain, Philipp
dc.creatorRoemer, Rudolf A.
dc.date2003-09-29
dc.date2004-02-04
dc.date.accessioned2026-07-25T15:21:50Z
dc.descriptionUsing 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.
dc.descriptionmajor revision, discussion of averaging improved; 8 pages, 7 figures; accepted for publication in EPL
dc.identifierhttps://arxiv.org/abs/cond-mat/0309669
dc.identifierhttp://arxiv.org/abs/cond-mat/0309669
dc.identifierEuroPhys. Lett. 66, 104-110 (2004)
dc.identifierdoi:10.1209/epl/i2003-10148-5
dc.identifier.urihttps://dspace.dare.co.zw/handle/123456789/33234
dc.subjectMesoscale and Nanoscale Physics
dc.subjectDisordered Systems and Neural Networks
dc.titleFluctuating Hall resistance defeats the quantized Hall insulator
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