publication . Article . Preprint . 1998

RENORMALIZATION OF MODULAR INVARIANT COULOMB GAS AND SINE-GORDON THEORIES,AND THE QUANTUM HALL FLOW DIAGRAM

Carpentier, David;
Open Access English
  • Published: 23 Oct 1998
  • Publisher: HAL CCSD
  • Country: France
Abstract
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.
Subjects
free text keywords: [PHYS.COND.CM-SM]Physics [physics]/Condensed Matter [cond-mat]/Statistical Mechanics [cond-mat.stat-mech], [PHYS.COND.CM-MSQHE]Physics [physics]/Condensed Matter [cond-mat]/Mesoscopic Systems and Quantum Hall Effect [cond-mat.mes-hall], Condensed Matter - Statistical Mechanics, Condensed Matter - Mesoscale and Nanoscale Physics, Mathematical Physics, General Physics and Astronomy, Statistical and Nonlinear Physics, Renormalization group, Duality (optimization), Renormalization, Quantum mechanics, Physics, Invariant (mathematics), Coulomb, Quantum Hall effect, Quantum spin Hall effect, Diagram
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publication . Article . Preprint . 1998

RENORMALIZATION OF MODULAR INVARIANT COULOMB GAS AND SINE-GORDON THEORIES,AND THE QUANTUM HALL FLOW DIAGRAM

Carpentier, David;