Thermodynamic properties of a Gaussian quantum ring in the presence of a molecular ion

In this study, the findings of research conducted into the thermodynamic properties of a molecular complex ion in a 2D quantum ring characterized by Gaussian-type potentials are presented. The Schrödinger equation for a singly ionized double donor complex was solved by a two-dimensional diagonalization method. The results obtained show that at the internuclear distance, where there is coupling between the Coulomb centers such that the electron is shared by both impurity atoms, the mean energy and entropy of the system are minimal. A further finding is that in the regime where the distance between impurity atoms is comparable to the inner radius of the quantum ring, the heat capacity of the system undergoes significant changes with temperature.