One-dimensional Hard-core Potentials Bariev Model The Thermodynamic Properties And Boundary Effects

Among the models of highly correlated electrons systems ,Bariev model is typical after Hirsch and t-J model.And the boundary effects have great significamce in the study of one-dimensional integral system. In this thesis,we study the one-dimensional Bariev model with hard-core under open boundary conditions.Firstly,using the eigenvalue of Hamiltonian and Bethe ansatz equations,we derive the thermodynamics Bethe ansatz equations(TBAE) based on the string hypothesis for both a repulsive and an attractive interaction.Then these equations are discussed in several limiting cases,such as the ground state,high temperature limit and weak and strong coupling.Finally, the contribution of the boundary fields to both the magnetic susceptibility and specific heat are obtained, and their exact expressions are analytically derived.