Spectral Compressibility at the Metal-Insulator Transition of the Quantum Hall Effect

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 $\eta$ and the spectral compressibility $\chi$ at the mobility edge, $\chi =\eta /2d$, 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.

5 pages, RevTeX, 3 figures, Postscript, strongly revised version to be published in PRL

References in corpus (2)

• Spectral Rigidity and Eigenfunction Correlations at the Anderson Transition
• Spatial and Spectral Multifractality of the Local Density of States at the Mobility Edge

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