An explicit expression of reflection magnetic circular dichroism (RMCD) has been derived, taking into account the interference effect that arises from multiple internal reflections in an air/Ga1-xMnxAs/GaAs dielectr...An explicit expression of reflection magnetic circular dichroism (RMCD) has been derived, taking into account the interference effect that arises from multiple internal reflections in an air/Ga1-xMnxAs/GaAs dielectric layered system. It unambiguously shows that the RMCD signal is composed by three terms. In addition to the conventional term, which is sufficient in the absence of interference, an oscillatory term is required. Both of them are related to the imaginary part εxy of the off-diagonal element of the dielectric tensor. One also becomes aware that in this case RMCD is not actually determined only by the imaginary part εxy of the off-diagonal element of the dielectric tensor, as has been widely accepted. In fact, the real part εxy of the off-diagonal element will substantially mix into the measured RMCD results by another oscillatory cos θ form. It can even reverse the sign of RMCD, when the Gal_xMnxAs layer becomes thicker. The main aspects of these predictions were used to reasonably explain the RMCD results measured in three different types of samples. Our work will bring about a reconsideration of how to correctly explain RMCD results.展开更多
基金supported by the National Basic Research Program of China(Grant No.2011CB932901)
文摘An explicit expression of reflection magnetic circular dichroism (RMCD) has been derived, taking into account the interference effect that arises from multiple internal reflections in an air/Ga1-xMnxAs/GaAs dielectric layered system. It unambiguously shows that the RMCD signal is composed by three terms. In addition to the conventional term, which is sufficient in the absence of interference, an oscillatory term is required. Both of them are related to the imaginary part εxy of the off-diagonal element of the dielectric tensor. One also becomes aware that in this case RMCD is not actually determined only by the imaginary part εxy of the off-diagonal element of the dielectric tensor, as has been widely accepted. In fact, the real part εxy of the off-diagonal element will substantially mix into the measured RMCD results by another oscillatory cos θ form. It can even reverse the sign of RMCD, when the Gal_xMnxAs layer becomes thicker. The main aspects of these predictions were used to reasonably explain the RMCD results measured in three different types of samples. Our work will bring about a reconsideration of how to correctly explain RMCD results.