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

Abstract

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.

4 pages, one citation corrected

References in corpus (3)

• Exact expectation values of local fields in quantum sine-Gordon model
• Characterization of Quantum Chaos by the Autocorrelation Function of Spectral Determinants
• Exploring Level Statistics from Quantum Chaos to Localization with the Autocorrelation Function of Spectral Determinants

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• Generalized surface multifractality in 2D disordered systems
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• Boundary multifractality in the spin quantum Hall symmetry class with interaction
• Instanton analysis for the spin quantum Hall symmetry class: Non-perturbative corrections to physical observables and generalized multifractal spectrum
• Extreme-Value Criticality and Gain Decomposition at the Integer Quantum Hall Transition