Europhys. Lett.
Volume 66, Number 1, April 2004
Page(s) 104 - 110
Section Condensed matter: electronic structure, electrical, magnetic, and optical properties
Published online 01 March 2004
Europhys. Lett., 66 (1) , pp. 104-110 (2004)
DOI: 10.1209/epl/i2003-10148-5

Fluctuating Hall resistance defeats the quantized Hall insulator

P. 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 $R_{\ab{H}}\approx h/e^2$ is observed up to $R_{\ab{L}}\sim 25 h/e^2$ when studying the most probable value of the distribution function $P(R_{\ab{H}})$. Upon further increasing $R_{\ab{L}}\rightarrow\infty$, the Hall insulator with diverging Hall resistance $R_{\ab{H}}\propto
R_{\ab{L}}^{\kappa}$ 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