Anyon Chains with Pairing Terms

Abstract

In this paper we introduce a one-dimensional model of $su(2{)}_k$ anyons in which the number of anyons can fluctuate by means of a pairing term. The model can be tuned to a point at which one can determine the exact zero-energy ground states, in close analogy to the spin-1 AKLT model. We also determine the points at which the model is integrable and determine the behavior of the model at these integrable points.

30 pages

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