Theoretical study of the density of states and thermal properties of Cd1-xMnxTe quantum wire under the combined effects of the applied magnetic field, spin orbit coupling and exchange effects

This study investigates the electronic, thermal, and magnetocaloric properties of the diluted magnetic semiconductor Cd_1-xMn_xTe in quantum wire (QW) geometry. We solve the Hamiltonian for an electron confined in a cylindrical quantum wire under an external magnetic field, incorporating the Rashba spin–orbit interaction (SOI) and exchange interactions. The resulting energy dispersion relations are used to calculate the electronic structure, Landau levels and the density of states (DOS). Our analysis shows that the DOS is strongly influenced by the combined effects of spin splitting, Rashba SOI, exchange interaction, and magnetic field strength. By tuning these parameters, the DOS pattern can be optimized for specific spintronic applications. The magnetocaloric effect (MCE) is explored, revealing a pronounced MCE behavior in the low-temperature regime (T < 70 K). The results demonstrate that the magnetic and thermodynamic properties of Cd_1-xMn_xTe quantum wires can be precisely modulated by adjusting the SOI strength, exchange interaction, temperature, and wire confinement. This tunability highlights the potential of this material for low-temperature spintronic applications, magnetic refrigeration technologies.