Abstract

Diluted magnetic semiconductors (DMS) continue to attract attention due to the central role of spin in their physical behavior. Among spin-related effects, Rashba spin-orbit interaction (RSO), which arises from structural inversion asymmetry and couples an electron's spin with its orbital momentum, can significantly affect thermo-magnetic properties and quantum transport. In this work, we investigate the impact of RSO on the thermodynamic and magnetic properties of GaMnAs cylindrical nanoshells by numerically solving the Schr & ouml;dinger equation and deriving relevant quantities using the Boltzmann-Gibbs statistical framework. Our results reveal that RSO and external magnetic fields have antagonist effects on spin-split energy levels: the magnetic field enhances confinement by shrinking electronic orbitals, whereas RSO tends to delocalize the wavefunction, reducing confinement energy. This competition modulates the system's thermodynamic and magnetic responses. Specifically, the heat capacity shows a pronounced peak at very low temperatures, consistent with the Schottky anomaly in low-dimensional systems. Furthermore, magnetic susceptibility exhibits strong dependence on both temperature and magnetic field, and a field- and temperature-induced phase transition from ferromagnetic to paramagnetic behavior is observed.