Spectral Compressibility at the Metal-Insulator Transition of the Quantum Hall Effect
Rochus Klesse, Marcus Metzler
Abstract
The spectral properties of a disordered electronic system at the metal-insulator transition point are investigated numerically. A recently derived relation between the anomalous diffusion exponent η and the spectral compressibility χ at the mobility edge, χ=η/2d, is confirmed for the integer quantum Hall delocalization transition. Our calculations are performed within the framework of an unitary network-model and represent a new method to investigate spectral properties of disordered systems.
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