Figure 1

Energy contributions as a function of $\mathcal{M}$. (a) Upper panel: ${\mathcal{G}}_S(\mathcal{M})$ for two different temperatures. Middle panel: $\frac{\mathcal{E}(\mathcal{M})}{V}$ for $\delta =41\mathrm{m}\mathrm{e}\mathrm{V}$ and $\Omega =5\mathrm{m}\mathrm{e}\mathrm{V}$. Lower panel: $\mathcal{M}(T/T_c)$ for $\Omega =5\mathrm{m}\mathrm{e}\mathrm{V}$ and three different values of $\delta$. (b) Total Landau energy $\mathcal{G}(\mathcal{M})$ for the Mn, for a set of temperatures nearby $T_c$ for $\delta =41\mathrm{m}\mathrm{e}\mathrm{V}$ and $\Omega =5\mathrm{m}\mathrm{e}\mathrm{V}$.Reuse & Permissions

Figure 2

(a) Contour map for transition temperature as a function of the Rabi energy $\Omega$ and the detuning $\delta$, for (${\mathrm{Z}\mathrm{n}}_{0.99}{\mathrm{M}\mathrm{n}}_{0.01}$)S. White region: outside validity range of linear response. (b) $\mathcal{M}(\Omega ,\delta )$ at a fixed temperature, $k_{B}T=0.5\mathrm{\text{Kelvin}}$ for ${\mathrm{Z}\mathrm{n}}_{0.988}{\mathrm{M}\mathrm{n}}_{0.012}\mathrm{S}$. (c) Schematic ($k_{B}T$, $\delta /J_{\mathrm{m}\mathrm{a}\mathrm{x}}$) phase diagram, for fixed laser intensity. In the left region ($\delta <0$) [right region ($\delta >J_{\mathrm{m}\mathrm{a}\mathrm{x}}$)] the system is always absorbing (coherent). The red line in the coherent side signals the ferromagnetic instability described in this work. The red line in the absorbing part corresponds to photocarrier mediated ferromagnetism $T_c$ [6, 20]. The middle region shows a possible transition from a paramagnetic-coherent towards a ferromagnetic-absorbing phase.Reuse & Permissions