Yangian and Topological Basis Expressions of Two Types of XXZ Spin Chains

Abstract

We construct a set of orthogonal topological basis states, based on which Temperley-Lieb algebra (TLA) generators Uij can be reduced into four subspaces. According to the relations between the XXZ model and TLA generators Uij, two types of eigenstates of the XXZ model can be expressed by a topological basis. We also analyze the Yangian realizations of XXZ model systems and illustrate them with figures.