Abstract
Abstract In this report, temporal behavior of the spin components of the π − electron in silicene is investigated. We assume that the silicene sheet is under the effect of the perpendicular magnetic field, which leads to the appearance of the Landau levels. Choosing a concrete initial state and using block-diagonal form of the Hamiltonian then by considering the time evolution operator, the state at time t is yield. The expectation values of the spin components with respect to the state at time t lead to the dynamical spin polarization. We show that the spin is plane-polarized and it presents the oscillatory behavior in general. Furthermore, we show that the temporal behavior of the spin polarization is dependent to the magnetic field, energy states and buckling parameter. In the low regime for magnetic field, quantum phase transition is seen. It is appeared by collapse and revival patterns in spin polarization.
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