Regensburg 2004 – scientific programme

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HL: Halbleiterphysik

HL 22: Transport im hohen Magnetfeld/Quanten-Hall-Effekt

HL 22.2: Talk

Tuesday, March 9, 2004, 15:30–15:45, H14

Renormalizing into the mesoscopic quantum Hall insulator — •Philipp Cain¹, Rudolf A. Römer², and Michael Schreiber¹ — ¹Institut für Physik, Technische Universität, D-09107 Chemnitz — ²Department of Physics, University of Warwick, Coventry CV4 7AL, UK

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, both the Hall insulator with diverging Hall resistance R_H and the quantized Hall insulator with R_H≈ h/e² can be observed depending on the precise nature of the averaging procedure.