  In this research work, the Hellmann potential is studied in the presence of
external magnetic and AB-flux fields. We solve the Schrodinger in the presence
of these fields and the potential via the functional analysis approach (FAA).
The energy equation and wave function of the system are obtained in closed
form. The effect of the fields on the energy spectra of the system examined in
details. It is found that the AB field performs better than the magnetic in its
ability to remove degeneracy. Furthermore, the magnetization and magnetic
susceptibility of the system was discussed at zero and finite temperatures. We
evaluate the partition function and use it to evaluate other thermodynamic
properties of the system such as magnetic susceptibility, Helmholtz free
energy,entropy, internal energy and specific heat. A comparative analysis of
the magnetic susceptibility of the system at zero and finite temperature shows
a similarity in the behavior of the system. A straight forward extension of our
results to three dimension shows that the present result is consistent with
what is obtains in literature.
