Energy spectrum and magnetic properties of the Tietz oscillator in external magnetic and Aharonov–Bohm flux fields

In this study, the radial Schrödinger equation is solved with the Tietz potential in the presence of external magnetic and Aharonov–Bohm (AB) flux fields. The supersymmetric quantum mechanics approach was used in the solution procedure to obtain an explicit formula for bound-state energy levels. With the aid of the expression for bound-state energies, analytical equations for magnetization and magnetic susceptibility at zero temperature were derived. The study reveals that an initial increase in radial quantum number leads to a sharp decrease in magnetic susceptibility and an increase in magnetization of the system. The results of numerical computations also reveal that in the absence of the external magnetic field and AB field, the energy spectrum of the system is degenerate. However, the degeneracy is partially removed if only the AB field is present and totally removed if the magnetic and AB fields are simultaneously turned on. The results obtained for the bound-state energy eigenvalues in the present study are in good agreement with the literature on the Tietz potential. (author)