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Plateaux Transitions in the Pairing Model:Topology and Selection Rule

arXiv:cond-mat/9907001 · doi:10.1103/PhysRevB.62.99

Abstract

Based on the two-dimensional lattice fermion model, we discuss transitions between different pairing states. Each phase is labeled by an integer which is a topological invariant and characterized by vortices of the Bloch wavefunction. The transitions between phases with different integers obey a selection rule. Basic properties of the edge states are revealed. They reflect the topological character of the bulk. Transitions driven by randomness are also discussed numerically.

8 pages with 2 postscript figures, RevTeX