Plateaux Transitions in the Pairing Model:Topology and Selection Rule

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

References in corpus (2)

• Superconducting ``metals'' and ``insulators''
• Transitions from the Quantum Hall State to the Anderson Insulator: Fa te of Delocalized States

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