Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
1999-04-28
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
25 pages, minor changes in data discussion, Section V on connection with staircase model is expanded References added. Interpr
Scientific paper
10.1103/PhysRevB.61.10917
A model consisting of a single massless scalar field with a topological coupling to a pure gauge field is defined and studied. It possesses an SL(2,Z) symmetry as a consequence of the gauge invariance. We propose that by adding impurities the model can be used to describe transitions between Quantum Hall plateaux. This leads to a correlation length exponent of 20/9, in excellent agreement with the most recent experimental measurements.
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