Abstract

A self-consistent second-order Green's function method has been developed to study a spin-1 Heisenberg antiferromagnetic chain. A new decoupling procedure has been used. The Haldane gap appears naturally in the analytical result of the excitation spectrum. Thermodynamic properties such as the internal energy and specific heat at the arbitrary temperature are obtained which were calculated numerically before. The results we get have been compared with the exact numerical results on the finite chain and have been found consistent with them.

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