Giant nonlinear Kerr effects

Abstract

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Nonlinear magneto-optics of freestanding Fe monolayers from first principles

“…RESULTS Fig. 1 shows the spectral dependence of the imaginary part of the four independent tensor elements of the nonlinear susceptibility χ (2) ijk obtained from a Fe(001) monolayer with out of plane magnetization (M z) derived from a fcc lattice. The in-plane lattice constant is varied from 2.4Å to 2.76Å (Cu has a=2.56Å), simulating different substrates .…”

“…1 it is clear that the contribution of the χ (2) zzz and χ (2) xxz elements can be neglected because of their magnitude. Thus the nonlinear Kerr angle is directly proportional to the ratio of the χ (2) xyz and the χ (2) zxx elements weighted by the transmission and Fresnel coefficients (in the numerical calculation, however all tensorelements are included). Though the spectral dependence of latter is rather weak in this energy range compared to the tensor elements, a clear relation between the spectral dependence of the Kerr angle and the tensor elements is not obvious.…”

“…Since the two dimensional unit cell of the (001) surface is a square lattice, the x and y direction are equivalent for out-of-plane magnetization, and thus χ (2) zxx = χ (2) zyy . For in-plane magnetization the x and y directions are no longer equivalent and thus χ (2) zxx = χ (2) zyy . The effect of this symmetry breaking on the nonmagnetic tensor elements is shown in Fig.…”

“…The nonlinear magneto-optical Kerr-effect (NOLIMOKE) combines the surface and interface sensitivity of second harmonic generation (SHG) with the sensitivity on magnetic ordering, which is much stronger here than in linear optics [1,2]. The existence and the detectability of the nonlinear magneto-optical effect was shown independently in 1989 by Pan, Wei and Shen [3] and Hübner and Bennemann [4].…”

“…The existence and the detectability of the nonlinear magneto-optical effect was shown independently in 1989 by Pan, Wei and Shen [3] and Hübner and Bennemann [4]. Whereas the former work was based on a group theoretical classification of the nonlinear susceptibility tensor χ (2) ijk , the latter used an electronic structure calculation to predict the nonlinear Kerr-effect. During the last years significant improvements have been made.…”