Generalized Heisenberg Model

TL;DR

This paper studies a generalized XXZ spin chain model with arbitrary spins and specific boundary conditions, deriving conditions for functional relation truncation that enable spectrum calculation.

Contribution

It introduces new truncation conditions for the functional fusion relations in the generalized XXZ model with arbitrary spins and boundary conditions.

Findings

Derived conditions for truncation of fusion relations.

Established a closed system of equations for energy spectrum.

Provided a method to compute the spectrum explicitly.

Abstract

We consider the XXZ model for a chain of particles whose spins are arbitrary with the anisotropy parameter equal to the root of minus one and generalized periodic boundary conditions. The conditions for the truncation of the functional fusion relations of the transfer matrices are obtained. The truncation results in a closed system of equations whose solution allows obtaining the energy spectrum.