A conformal field theory description of magnetic flux fractionalization in Josephson junction ladders

Abstract

We show how the recently proposed effective theory for a Quantum Hall system at "paired states" filling v=1 (Mod. Phys. Lett. A 15 (2000) 1679; Nucl. Phys. B641 (2002) 547), the twisted model (TM), well adapts to describe the phenomenology of Josephson Junction ladders (JJL) in the presence of defects. In particular it is shown how naturally the phenomenon of flux fractionalization takes place in such a description and its relation with the discrete symmetries present in the TM. Furthermore we focus on closed geometries, which enable us to analyze the topological properties of the ground state of the system in relation to the presence of half flux quanta.

16 pages, 2 figure, Latex, revised version

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• Twisted Conformal Field Theories and Morita equivalence
• Paired quantum Hall states on noncommutative two-tori
• A general CFT model for antiferromagnetic spin-1/2 ladders with Mobius boundary conditions
• Dissipative quantum mechanics and Kondo-like impurities on noncommutative two-tori
• A new Rational Conformal Field Theory extension of the fully degenerate W_{1+\infty}^{(m)}