Thermodynamic limit and boundary energy of the spin-1 Heisenberg chain with non-diagonal boundary fields

TL;DR

This paper investigates the thermodynamic limit and boundary energy of the spin-1 Heisenberg chain with non-diagonal boundary fields, using density matrix renormalization group and Bethe ansatz methods, with implications for high spin models.

Contribution

It introduces a method to calculate boundary energy in the thermodynamic limit for the spin-1 Heisenberg chain with non-diagonal boundary fields, extending to high spin models.

Findings

Finite size scaling of the inhomogeneous term analyzed

Boundary energy derived from Bethe ansatz equations

Results applicable to SU(2) symmetric high spin models

Abstract

The thermodynamic limit and boundary energy of the isotropic spin-1 Heisenberg chain with non-diagonal boundary fields are studied. The finite size scaling properties of the inhomogeneous term in the $ T-Q $ relation at the ground state are calculated by the density matrix renormalization group. Based on our findings, the boundary energy of the system in the thermodynamic limit can be obtained from Bethe ansatz equations of a related model with parallel boundary fields. These results can be generalized to the $SU(2)$ symmetric high spin Heisenberg model directly.