Fluctuating Hall resistance defeats the quantized Hall insulatorP. Cain1 and R. A. Römer2
1 Institut für Physik, Technische Universität Chemnitz - 09107 Chemnitz, Germany
2 Department of Physics and Centre for Scientific Computing, University of Warwick Coventry CV4 7AL, UK
(Received 6 October 2003; accepted in final form 30 January 2004)
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 is observed up to when studying the most probable value of the distribution function . Upon further increasing , the Hall insulator with diverging Hall resistance is seen. The crossover between these two regimes depends on the precise nature of the averaging procedure.
73.43.-f - Quantum Hall effects.
73.43.Nq - Quantum phase transitions.
64.60.Ak - Renormalization-group, fractal, and percolation studies of phase transitions.
© EDP Sciences 2004