Correlation of Thermo-Magnetic Properties of Non-Interacting Two-Electron Parabolic Confined Quantum Dots under External Parameters

The main interest of this study is to investigate the correlation of thermo-magnetic properties with respect to each other on the basis of confinement potential strength, external magnetic field, and temperature dependence. Analytically calculated the bound state energy of the harmonic oscillatory potential using Nikiforov-Uvarov formalism and numerically calculated the characteristic function of the thermodynamic properties partition function, entropy, and free energy with statistical quantum mechanics extending into the harmonic oscillator potential: Many comprehensive studies from the theoretical point of view were conducted on magneto-thermodynamic properties, but all in all, they did not place emphasis on the functional dependence of the correlation between magneto-thermal properties and their impact on the behavior of a system. Therefore, the correlation of dependent functional characteristics was not investigated. We were inspired to solve the interrelation-dependent magnetic-thermal quantities dependent on the external magnetic field, confinement potential, and temperature. We divulged comprehensive information about the system to put together this guide for the analysis and interpretation of the interrelation. Taking into consideration free energy as a functional center of magnetic and thermodynamic properties, we calculated and graphically simulated the interrelation of free energy, magnetic susceptibility, and magnetization. The nonlinear correlation of free energy and susceptibility at sufficiently low confinement potential strength determines the minimum value of free energy and the maximum value of magnetic susceptibility exhibited. As confinement increases, magnetization linearly decreases. In cases of sufficiently high confinement potential and temperature, the shortest curve of magnetic response is displayed.