Topological defects on thermodynamic functions of combined potentials under AB flux field

Topological defect influence on molecular potential models has been significantly proven to shape the behaviour and interactions of different constituent quantum systems. Based on this fact, we employ the Nikiforov–Uvarov functional analysis method to solve the Schrödinger equation with modified Kratzer plus generalized Morse potential, embedded with Aharonov–Bohm flux field and point-like global monopole defect. Rotation-vibrational energies of the combined potential have been presented numerically and graphically for various quantum states, flux field, and topological defect values. Ro-vibrational energies of carbon monoxide have been presented for modified Kratzer potential, as a special consideration. In addition, vibrational energy expression of the combined molecular potential considered is used to obtain some thermodynamic functions using arbitrary values, using Poisson summation formula. Graphical studies of these thermodynamic functions show high dependence on temperature, flux field, and topological defect parameters considered. Conventional results of this study in Minkowski space are realized as the topological defect parameter approaches unity, and their special cases agree with available results in literature. The result in this study also point relatively to some physical phenomena in chemical and molecular physics.