Renormalization of modular invariant Coulomb gas and sine-Gordon theories, and the quantum Hall flow diagram

1998/10/23 by David Carpentier · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Quantum and electron transport phenomena #Topological Materials and Phenomena #cond-mat.mes-hall #cond-mat.stat-mech

paper · pdf · doi:10.1088/0305-4470/32/21/301

published as J.Phys.A32:3865-3874,1999 · 10 pages, 1 EPS figure included

arxiv created 1998/10/23 · openalex publication_date 1999/01/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

Using the renormalization group (RG) we study two-dimensional electromagnetic Coulomb gas and extended sine-Gordon theories invariant under the modular group SL (2, ). The flow diagram is established from the scaling equations, and we derive the critical behaviour at the various transition points of the diagram. Following the proposal for a SL (2, ) duality between different quantum Hall fluids, we discuss the analogy between this flow and the global quantum Hall phase diagram.

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