Anyon Chains with Pairing Terms

TL;DR

This paper introduces a one-dimensional $su(2)_k$ anyon model with pairing terms, analyzing its ground states and integrability, revealing new insights into anyon chain behaviors and exact solutions.

Contribution

It presents a novel $su(2)_k$ anyon chain model with pairing terms, identifying exact ground states and integrable points, advancing understanding of anyonic systems.

Findings

Exact zero-energy ground states identified.

Integrable points of the model determined.

Behavior at integrable points analyzed.

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.