Fluctuating Hall resistance defeats the quantized Hall insulator

P. Cain; R. A. Römer

doi:10.1209/epl/i2003-10148-5

All issues

Volume 66 / No 1 (April 2004)

Europhys. Lett., 66 1 (2004) 104-110

Abstract

Issue		Europhys. Lett. Volume 66, Number 1, April 2004


Page(s)		104 - 110
Section		Condensed matter: electronic structure, electrical, magnetic, and optical properties
DOI		https://doi.org/10.1209/epl/i2003-10148-5
Published online		01 March 2004

Europhys. Lett., 66 (1), pp. 104-110 (2004)

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: 30 January 2004

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 $R_{\ab{H}}\approx h/e^2$ 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.

PACS: 73.43.-f – Quantum Hall effects / 73.43.Nq – Quantum phase transitions / 64.60.Ak – Renormalization-group, fractal, and percolation studies of phase transitions

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