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Non-Fermi liquid criticality and super universality in the quantum Hall regime

A. M. M. Pruisken·I. S. Burmistrov
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Abstract

We report the results of a microscopic theory, based on the topological concept of a $θ$ vacuum, which show that the Coulomb potential, unlike any finite ranged interaction potential, renders the longstanding problem of the plateau transitions in the quantum Hall regime non-Fermi liquid like. Our present results, which are of outstanding significance for quantum phase transitions in general and composite fermion ideas in particular, provide a novel understanding of the critical exponent values that have recently been (re)taken from a series of state-of-the-art quantum Hall samples.

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A. M. M. Pruisken, I. S. Burmistrov. 2005-07-18. Non-Fermi liquid criticality and super universality in the quantum Hall regime. https://arxiv.org/abs/cond-mat/0507412

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