Physics – Condensed Matter – Statistical Mechanics
Scientific paper
1998-10-23
J.Phys.A32:3865-3874,1999
Physics
Condensed Matter
Statistical Mechanics
10 pages, 1 EPS figure included
Scientific paper
10.1088/0305-4470/32/21/301
Using the renormalisation group (RG) we study two dimensional electromagnetic coulomb gas and extended Sine-Gordon theories invariant under the modular group SL(2,Z). The flow diagram is established from the scaling equations, and we derive the critical behaviour at the various transition points of the diagram. Following proposal for a SL(2,Z) duality between different quantum Hall fluids, we discuss the analogy between this flow and the global quantum Hall phase diagram.
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