Spin-1/2 XYZ model revisit: general solutions via off-diagonal Bethe ansatz

TL;DR

This paper provides a comprehensive solution to the spin-1/2 XYZ model with various boundary conditions using the off-diagonal Bethe ansatz, deriving exact spectra and unified Bethe ansatz equations for all lattice sizes.

Contribution

It introduces a unified approach to solve the XYZ model with both boundary conditions and all lattice sizes using inhomogeneous T-Q relations.

Findings

Exact spectra for the XYZ model derived

Unified Bethe ansatz equations established

Applicable to both even and odd lattice sizes

Abstract

The spin-1/2 XYZ model with both periodic and anti-periodic boundary conditions is studied via the off-diagonal Bethe ansatz method. The exact spectra of the Hamiltonians and the Bethe ansatz equations are derived by constructing the inhomogeneous T-Q relations, which allow us to treat both the even N (the number of lattice sites) and odd N cases simultaneously in an unified approach.