Plateaux Transitions in the Pairing Model:Topology and Selection Rule

Y. Morita, Y. Hatsugai

Published 1999-07-01Version 1

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.