Figure 1

SHG spectra of CdTe at different magnetic fields for $T=4.5\mathrm{K}$. The upper inset shows the integrated SHG intensity of the strongest feature $X$ vs magnetic field. The solid line is a $H^2$ fit to the data. The lower inset gives the Landau-level fan diagram of the SHG peak positions: circles are experimental data with intensities given by the symbol sizes. Solid lines give calculated optical transition energies between electron and hole Landau-levels. $m_e=0.096m_0$ and $m_{hh}=0.674m_0$ were used as electron and heavy-hole effective masses [17, 18]. The dashed line gives the literature data for the diamagnetic shift of the $1s$ exciton. The polar inset shows rotational anisotropies measured in geometries $\mathbf{E}(2\omega )\Vert \mathbf{E}(\omega )$ (light shaded area and open circles) and $\mathbf{E}(2\omega )\perp \mathbf{E}(\omega )$ (dark shaded area and closed circles). Circles are experimental data and shaded areas give simulation results.Reuse & Permissions

Figure 2

(a) SHG spectra of ${\mathrm{Cd}}_{0.84}{\mathrm{Mn}}_{0.16}\mathrm{Te}$ measured in external magnetic field for $\mathbf{k}(\omega )\Vert \mathbf{z}$ and $\mathbf{H}\Vert \mathbf{x}$ and for two polarization combinations. The integrated SHG intensity vs magnetic field is given in the inset, the solid line is a fit to the data with the Brillouin function of Eq. (4). The rotational anisotropies were measured in geometries $\mathbf{E}(2\omega )\Vert \mathbf{E}(\omega )$ (light shaded area and open circles) and $\mathbf{E}(2\omega )\perp \mathbf{E}(\omega )$ (dark shaded area and closed circles). (b) Peak positions of the SHG lines vs magnetic field. Circles are experimental data with relative intensities given by the symbol sizes. Lines give the energies of optical transitions calculated according to Eqs. (2, 4) with $S_0=0.8$ and $T_0=6.5\mathrm{K}$. A scheme of optical transitions is given at the right side.Reuse & Permissions

Figure 3

MFISH peak energies in ${\mathrm{Cd}}_{0.84}{\mathrm{Mn}}_{0.16}\mathrm{Te}$ vs temperature at $H=7\mathrm{T}$. Circles are experimental data with intensities given by the symbol sizes. Solid lines are calculations accounting for the temperature dependencies of the giant Zeeman splitting and of the band gap [16]. The upper inset confirms that the spin splitting $\Delta E_{\mathrm{GZ}}$ (open circles) can be well described by the modified Brillouin function (solid line). The temperature dependence of the linewidth for peak 1 is shown in this inset by closed circles; the dashed line is a guide for the eye. The lower inset illustrates that MFISH signal is detectable at room temperature.Reuse & Permissions

Figure 4

Integrated SHG intensity as a function of the giant Zeeman splitting $\Delta E_{\mathrm{GZ}}$, which is controlled either by the magnetic field at a fixed temperature (open circles) or by the temperature at a fixed magnetic field (closed circles). The line is a linear interpolation of experimental data.Reuse & Permissions