Suppression of carrier induced ferromagnetism by composition and spin fluctuations in diluted magnetic semiconductors

We suggest an approach to account for spatial (composition) and thermal fluctuations in "disordered" magnetic models (e.g. Heisenberg, Ising) with given spatial dependence of magnetic spin-spin interaction. Our approach is based on introduction of fluctuating molecular field (rather than mean field) acting between the spins. The distribution function of the above field is derived self-consistently. In general case this function is not Gaussian, latter asymptotics occurs only at sufficiently large spins (magnetic ions) concentrations $n_i$. Our approach permits to derive the equation for a critical temperature $T_c$ of ferromagnetic phase transition with respect to the above fluctuations. We apply our theory to the analysis of influence of composition fluctuations on $T_c$ in diluted magnetic semiconductors (DMS) with RKKY indirect spin-spin interaction.Comment: 6 pages, 2 figure

Reconstruction, rumpling, and Dirac states at the (001) surface of a topological crystalline insulator Pb1-xSnxSe

Equilibrium atomic configuration and electronic structure of the (001) surface of IV-VI semiconductors PbTe, PbSe, SnTe and SnSe, is studied using the density functional theory (DFT) methods. At surfaces of all those compounds, the displacements of ions from their perfect lattice sites reveal two features characteristic of the rock salt crystals. First, the ionic displacements occur only along the direction perpendicular to the surface, and they exhibit the rumpling effect, i.e., the vertical shifts of cations and anions differ. Second, the interlayer spacing of the first few monolayers at the surface oscillates. Our results are in good agreement with the previous X-ray experimental data and theoretical results where available. They also are consistent with the presence of two {110} mirror planes at the (001) surface of the rock salt. One the other hand, experiments preformed for the topological Pb$_{1-x}$Sn$_x$ Se alloy indicate breaking of the mirror symmetry due to a large 0.3 {\AA} relative displacement of the cation and anion sublattices at the surface, which induces the opening of the gap of the Dirac cones. Our results for Pb$_{1-x}$Sn$_x$Se including the simulated STM images, are in contradiction with these findings, since surface reconstructions with broken symmetry are never the ground state configurations. The impact of the theoretically determined surface configurations and of the chemical disorder on the surface states is analyzed.Comment: 9 pages, 11 figure

Assessing the Continuum of Care Pathway for Maternal Health in South Asia and Sub-Saharan Africa

We assess how countries in regions of the world where maternal mortality is highest - South Asia and Sub-Saharan Africa - are performing with regards to providing women with vital elements of the continuum of care