Effects of electron-phonon coupling and Rashba spin-orbit interaction on thermodynamic and magnetic properties of quantum dots

The thermodynamic and magnetic properties of quantum-dot structures subjected to an applied magnetic field were studied, including the longitudinal optical-phonon interaction and the Rashba spin-orbit effect. The Schrodinger equation was solved to determine the energy levels. The partition function was evaluated by summing the accessible energy levels and was then utilized to calculate the thermomagnetic functions. In this paper, we present magnetic properties by considering three interacting polarons. Our results indicated that at B = 0T , the susceptibility exhibits diamagnetic behavior for all values of the Rashba spin-orbit parameter. However, the magnetic susceptibility increases with an applied magnetic field, and the system exhibits paramagnetic behavior under moderate magnetic fields. However, in situations with and without the polaron effect, the susceptibility is saturated at 0(meV/T-2) under large magnetic fields. In this study, we showed that the Rashba spin-orbit interaction (SOI) strengthens the cutoff magnetic field B-c (the B value at which the magnetic nature of the dot changes from diamagnetic to paramagnetic). Rashba SOIs reduce the mean energy of the system, including polaronic interactions. Under the polaron effect, the heat capacity curve shifts to lower temperatures. A quantitative description of the magnetocaloric effect (Delta S) as a function of the Wigner and Rashba spin-orbit parameters is presented.