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VOLUME 87 | ISSUE 4 | PAGE 252
Non-Fermi liquid criticality and super universality in the quantum Hall regime
A. M. M. Pruisken, I. S. Burmistrov^{\triangle,\square}
Institute for Theoretical Physics, University of Amsterdam, 1018XE Amsterdam, The Netherlands
^{\triangle}L.D. Landau Institute for Theoretical Physics, 117940 Moscow, Russia
^{\square}Department of Theoretical Physics, Moscow Institute of Physics and Technology, 141700 Moscow, Russia


PACS: 71.10.Pm, 72.10.-d, 73.43.-f
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 important 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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