Transitions Between Hall Plateaus and the Dimerization Transition of a Hubbard Chain

Physics – Condensed Matter

Scientific paper

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Scientific paper

We show that the plateau transitions in the quantum Hall effect is the same
as the dimerization transition of a half-filled, one dimensional, $U(2n)$
Hubbard model at $n=0$. We address the properties of the latter by a
combination of perturbative renormalization group and Monte Carlo simulations.
Results on both critical and off-critical properties are presented.

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