Spectral Properties of the Chalker-Coddington Network
Marcus Metzler (Toho University), Imre Varga (University of, Cologne)
TL;DR
This paper numerically studies the spectral statistics of the Chalker-Coddington network, comparing level spacing distributions and moments to quantum Hall systems, and explores the impact of multifractality on spectral tails.
Contribution
It provides a detailed numerical analysis of spectral properties of the Chalker-Coddington network, highlighting similarities and differences with quantum Hall systems and examining multifractality effects.
Findings
Level spacing distribution resembles that of quantum Hall systems
Scaling of moments aligns with known quantum Hall results
Multifractality influences the tail behavior of the spacing distribution
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.
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