Functional relations from the Yang-Baxter algebra: Eigenvalues of the XXZ model with non-diagonal twisted and open boundary conditions

TL;DR

This paper develops a functional method based on the Yang-Baxter algebra to derive eigenvalues of the XXZ model with complex boundary conditions, advancing the understanding of exactly solvable quantum spin chains.

Contribution

It introduces a novel functional approach to solve the XXZ model with non-diagonal boundary conditions, extending previous methods to more general boundary parameters.

Findings

Eigenvalues derived for the XXZ model with non-diagonal boundaries

Method applicable for general anisotropy and boundary parameters

Enhances solvability of complex boundary quantum models

Abstract

In this work we consider a functional method in the theory of exactly solvable models based on the Yang-Baxter algebra. Using this method we derive the eigenvalues of the XXZ model with non-diagonal twisted and open boundary conditions for general values of the anisotropy and boundary parameters.