Thermodynamics of osp(1|2) Integrable Spin Chain: Finite Size Correction

Abstract

The thermodynamic Bethe ansatz (TBA) equation for an integrable spin chain related to the Lie superalgebra osp(1|2) is analyzed. The central charge determined by low temperature asymptotics of the specific heat can be expressed by the Rogers dilogarithmic function, and identified to be 1. Solving the TBA equation numerically, we evaluate the several thermodynamic quantities. The excited state TBA equation is also discussed. These results supplement our previous papers: [Mod. Phys. Lett. A 14 (1999) 2427; Int. J. Mod. Phys. A 15 (2000) 2329].