Spin precession observation in quantum corrections to resistance of Si 0:7 Ge 0:3 =Si 0:2 Ge 0:8 heterostructure with 2DHG

Abstract The two-dimensional hole gas (2DHG) magnetoresistivity of a Si0:7Ge0:3=Si0:2Ge0:8 heterostructure in a wide range of temperatures T = 0:335-20 K and transport currents I = 100-50 A is measured. In the vicinity of zero magnetic ÿeld, a sharp and positive in sign feature on smooth negative magnetoresistance is observed at the lowest temperatures. The amplitude of this feature quickly fades with increasing temperature and transport current. For the analysis of the experimental data the theory of weak localization for 2DHG is applied. The values of so and tr obtained are used for the ÿrst time to deÿne zero magnetic ÿeld splitting in the hole energy spectrum for a Si0:7Ge0:3=Si0:2Ge0:8 heterostructure: = 2:97 meV.

Hybrid nanoparticles based on sulfides, oxides, and carbides

The methods for synthesis of hybrid nanoparticles based on sulfides, oxides, and carbides of heavy and transition metals were considered. The problem of the influence of the method of synthesis of the hybrid nanoparticles on their atomic structure, morphology of the nanomaterials, and functional properties was analyzed. The areas of practical use of the hybrid nanoparticles were proposed. © 2013 Springer Science+Business Media New York

Point sets on the sphere S2\mathbb{S}^2 with small spherical cap discrepancy

In this paper we study the geometric discrepancy of explicit constructions of uniformly distributed points on the two-dimensional unit sphere. We show that the spherical cap discrepancy of random point sets, of spherical digital nets and of spherical Fibonacci lattices converges with order $N^{-1/2}$. Such point sets are therefore useful for numerical integration and other computational simulations. The proof uses an area-preserving Lambert map. A detailed analysis of the level curves and sets of the pre-images of spherical caps under this map is given