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

Stefan Kettemann·Alexei Tsvelik
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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.

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Stefan Kettemann, Alexei Tsvelik. 1998-10-19. Information about the Integer Quantum Hall Transition Extracted from the Autocorrelation Function of Spectral Determinants. https://doi.org/10.1103/physrevlett.82.3689

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