Surface energy of the one-dimensional supersymmetric $t-J$ model with general integrable boundary terms in the antiferromagnetic sector

Abstract

In this paper, we study the surface energy of the one-dimensional supersymmetric $t-J$ model with unparallel boundary magnetic fields, which is a typical $U(1)$-symmetry broken quantum integrable strongly correlated electron system. It is shown that at the ground state, the contribution of inhomogeneous term in the Bethe ansatz solution of eigenvalues of transfer matrix satisfies the finite size scaling law $L^{\beta }$ where $\beta <0$. Based on it, the physical quantities of the system in the thermodynamic limit are calculated. We obtain the patterns of Bethe roots and the analytical expressions of density of states, ground state energy and surface energy. We also find that there exist the stable boundary bound states if the boundary fields satisfy some constraints.

11 pages, 9 figures

References in corpus (4)

• Thermodynamics and Crossover Phenomena in the Correlation Lengths of the One-Dimensional t-J Model
• Spectrum of the supersymmetric t-J model with non-diagonal open boundaries
• The nested Algebraic Bethe Ansatz for the supersymmetric t-J and Tensor Networks
• T-W relation and free energy of the Heisenberg chain at a finite temperature