Magnetocaloric effects and thermal properties of selected diatomic molecules under external magnetic and Aharonov-Bohm flux fields using the Modified Mobius Square plus Modified Schioberg Potential

Abstract

In this work, we examine the impact of the Aharonov–Bohm (AB) flux field and magnetic field on the thermodynamic behavior and magnetic entropy of the diatomic molecules H₂, CO, HCl, and LiH within the framework of the Modified Möbius Square plus Modified Schiöberg potential model. Using the asymptotic iteration method (AIM), the Schrödinger equation incorporating magnetic and Aharonov–Bohm flux fields with the Modified Möbius Square plus Modified Schiöberg potential is analytically solved. Subsequently, the energy eigenvalue equation and corresponding wave functions are obtained. Analytical expressions for the thermo-magnetic quantities and magnetic entropy are derived based on the energy spectrum through the partition function formalism. The resulting thermodynamic behaviors are comprehensively investigated using graphical representations. Our findings suggest that the magnetic susceptibility of the diatomic molecules H₂, CO, HCl, and LiH exhibits a transition between paramagnetic and diamagnetic behavior under the influence of external magnetic and Aharonov–Bohm (AB) flux fields. Additionally, the interplay between the external magnetic field and the Aharonov–Bohm (AB) flux field results in the removal of degeneracy in the system’s energy spectrum. The outcomes of this work provide potential applications in several areas of physics: with special emphasis in chemical physics where the derived model may be extended to explore other diatomic molecular systems and quantum dot structures.