Spectral Properties of the Chalker-Coddington Network

Abstract

We numerically investigate the spectral statistics of pseudo-energies for the unitary network operator U of the Chalker--Coddington network. The shape of the level spacing distribution as well the scaling of its moments is compared to known results for quantum Hall systems. We also discuss the influence of multifractality on the tail of the spacing distribution.

JPSJ-style, 7 pages, 4 Postscript figures, to be published in J. Phys. Soc. Jpn

References in corpus (2)

• Spatial and Spectral Multifractality of the Local Density of States at the Mobility Edge
• Novel Scaling Relation of the Energy Spacing Distribution in Quantum-Hall Systems

Cited by in corpus (10)

• On Renyi entropies characterizing the shape and the extension of the phase space representation of quantum wave functions in disordered systems
• A metallic phase in quantum Hall systems
• Renormalization group approach to energy level statistics at the integer quantum Hall transition
• One-parameter Superscaling at the Metal-Insulator Transition in Three Dimensions
• Modeling Disordered Quantum Systems with Dynamical Networks
• The Influence of Percolation in the generalized Chalker-Coddington Model
• Real-space renormalization-group approach to the integer quantum Hall effect
• Possible existence of a band of extended states induced by inter-Landau-band mixing in quantum Hall system
• Spectral Properties of Three Dimensional Layered Quantum Hall Systems
• Complexity of two-level systems