Information about the Integer Quantum Hall Transition Extracted from the Autocorrelation Function of Spectral Determinants

Alexei Tsvelik (University of Oxford); Dresden); Stefan Kettemann (MPIPKS

Information about the Integer Quantum Hall Transition Extracted from the Autocorrelation Function of Spectral Determinants

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arxiv cond-mat/9809012 v3 pith:2MOM4WTJ submitted 1998-09-01 cond-mat.mes-hall

Stefan Kettemann (MPIPKS , Dresden) , Alexei Tsvelik (University of Oxford) This is my paper · ORCID

classification cond-mat.mes-hall

keywords autocorrelationcriticaldeterminantsfunctionhallspectralconductancededuce

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The Autocorrelation function of spectral determinants (ASD) is used to probe the sensitivity of a two-dimensional disordered electron gas to the system's size L. For weak magnetic fields ASD is shown to depend only trivially on L, which is a strong indication that all states are localized. From nontrivial dependence of ASD on L for infinite L at a Hall conductance of 1/2 e^2/h we deduce the existence of critical wave functions at this point, as long as the disorder strength does not exceed a critical value.

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Extreme-Value Criticality and Gain Decomposition at the Integer Quantum Hall Transition
cond-mat.dis-nn 2026-03 conditional novelty 6.5 of 10

Raw maximal amplitudes at the open IQH transition factor as gain times intrinsic extreme, with parabolic extreme-moment scaling driven largely by near-log-normal gain.

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