Surface energy of the one-dimensional supersymmetric $t-J$ model with unparallel boundary fields

TL;DR

This paper analyzes the thermodynamic limit of a one-dimensional supersymmetric t-J model with unparallel boundary fields, revealing how the inhomogeneous term influences surface energy calculations and providing a method applicable to similar models.

Contribution

It demonstrates that the inhomogeneous term's contribution scales as L^{-1} and enables calculation of the surface energy, generalizable to other models with rational R-matrices.

Findings

Inhomogeneous term scales as L^{-1} at ground state

Surface energy can be calculated from this scaling

Method applicable to other rational R-matrix related models

Abstract

We investigate the thermodynamic limit of the exact solution, which is given by an inhomogeneous $T-Q$ relation, of the one-dimensional supersymmetric $t-J$ model with unparallel boundary magnetic fields. It is shown that the contribution of the inhomogeneous term at the ground state satisfies the $L^{-1}$ scaling law, where $L$ is the system-size. This fact enables us to calculate the surface (or boundary) energy of the system. The method used in this paper can be generalized to study the thermodynamic limit and surface energy of other models related to rational R-matrices.