Investigating the magneto-transport and thermal properties of 2D electron systems under the influence of the Aharonov–Bohm field and Eckart potential interaction

The Eckart potential is a well-known potential model with applications cutting across chemical physics and related areas. It is often used to evaluate quantum mechanical tunneling corrections in order to obtain chemical rate constants. To this end, this study focused on extensively examining the effects of perturbations on the magnetic and thermal properties of the Eckart potential. In the presence of magnetic and Aharonov–Bohm fields with Eckart potential, the Schrödinger equation is solved using the functional analysis approach (FAA). The energy equation and wave function are obtained analytically. The energy equation is used to derive expressions for the thermo-magnetic properties of the Eckart potential. An extensive analysis of the effect of these fields and potential parameters on the wave function is presented. In several configurations of the analysis, we observe that the system exhibits a diamagnetic behavior,and the specific heat capacity agree with the Dulong–Petit law. The results of this study are valuable in areas such as molecular physics and condensed matter physics, amongst others.