Persistent Current, Magnetic Susceptibility, and Thermal Properties for a Class of Yukawa Potential in the Presence of External Magnetic and Aharanov–Bohm Fields

Using the asymptotic iteration method, the class of Yukawa potential is investigated in the non-relativistic regime, taking into account the influence of magnetic and Aharanov–Bohm flux fields. The system’s energy equation and wave function are computed in compact form. The effect of the fields on the system’s energy spectra is studied in depth. The presence of external magnetic and Aharanov–Bohm fields eliminates degeneracy from the system’s energy spectrum. The partition function is determined using the energy equation, and it is then used to evaluate thermodynamic and magnetic properties of the system, such as persistent current and magnetic susceptibility.