Effect of temperature on the spin polarization of the π−electrons in silicene

The behavior of the $\pi -$electronic spin states in silicene in the presence of the thermal photons is investigated. The photons are in thermal equilibrium with the environment at a temperature $T$, as a heat reservoir. The system is described by a density operator which results from the related time-dependent Schrodinger equation. Our calculations are based on the time-dependent perturbation theory to the second-order of correction. The spin polarization as a function of the controlling parameter is obtained by tracing over the product of the density operator and the spin components. Our calculations show that the amplitude of the spin polarization depends on the temperature and field frequency. The variation in mean photon number at high and low temperature regimes provides a fundamental perspective for studying the temperature behavior of spin polarization. The overall temporal behavior of spin polarization and its dependence on controlling parameters is analyzed.