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

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

2005-07-18

arxiv.org/abs/cond-mat/0507412v1

Pis'ma v ZhETF v.87, pp. 252-256 (2008)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 2 figures, REVTeX

Scientific paper

We report the results of a microscopic theory, based on the topological concept of a $\theta$ 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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