Thermo-magnetic properties of the screened Kratzer potential with spatially varying mass under the influence of Aharanov-Bohm(AB) and position-dependent magnetic fields

In this study, the solution of the position-dependent mass Schro?dinger equation (PDMSE) for the screened Kratzer potential with the Aharanov-Bohm and position-dependent external magnetic fields are investigated using asymptotic iteration method. The energy eigenvalues and the corresponding eigenfunctions are obtained in closed form. We evaluated the partition function of the system and calculated the thermodynamic properties of the system such as Helmholtz free energy, entropy, internal energy, specific heat and the magnetization and magnetic susceptibility of the system at zero and finite temperatures.