Akademik Veri Yönetim Sistemi
ACTA PHYSICA POLONICA B, cilt.49, sa.10, ss.1823-1834, 2018 (SCI-Expanded)
A metric is introduced on the three-dimensional space of two long-range sublattice order parameters and a short-range order parameter describing the Ising antiferromagnets in the Bethe approximation. The Riemannian geometry associated with this metric is investigated analytically. In terms of the equilibrium order parameters, thermodynamic curvature scalar (R) is derived and its temperature (T) dependence near the Neel transition temperature (T-N) is analysed. A divergence to infinity is observed for the curvature on both sides of the Neel temperature (R. oc) which can be scaled as R similar to epsilon(lambda) for T < T-N, and R similar to (-epsilon)(lambda)' for T > T-N, with lambda = lambda' = -2 and epsilon = 1 - T/T-N. These observations fit well with those in the calculations of thermodynamic curvature in other spin models such as the spherical model and the ferromagnetic Ising model.