We investigate the thermodynamic limit and exact surface energy of the isotropic spin-1 Heisenberg chain with integrable generic open boundary conditions by a novel Bethe ansatz method. We obtain the homogeneous (or two-term) Bethe ansatz like equations for the zero roots of the transfer matrix. Based on the patterns of the zero roots, we analytical calculate the densities of zero roots and the surface energies of the model in all regimes of the boundary parameters.
Funding
We acknowledge the financial support from National Key R D Program of China (Grant No. 2021YFA1402104), Australian Research Council Discovery Project DP190101529 and Future Fellowship FT180100099, China Postdoctoral Science Foundation Fellowship 2020M680724, National Natural Science Foundation of China (Grant Nos. 12074410, 12247103, 12247179, 11934015 and 11975183), the Major Basic Research Program of Natural Science of Shaanxi Province (Grant Nos. 2021JCW-19 and 2017ZDJC-32), and the Strategic Priority Research Program of the Chinese Academy of Sciences (Grant No. XDB33000000).
History
Publication Date
2024-07-12
Journal
Journal of Physics A: Mathematical and Theoretical