Abstract We study discrete magnetic random Schrödinger operators on the square and honeycomb lattice. For non-random operator hexagonal lattice with any rational flux, we show that middle two dispersion surfaces exhibit Dirac cones. then derive an asymptotic expansion for density of states oscillations arbitrary flux. This allows us, as a corollary, to rigorously quantum Hall effect conclude dy...

The cluster representation matrices have already been successfully used to enumerate close-packed vacancy clusters in all single-lattice crystals [I, 2]. Point defect clusters in double-lattice crystals may have identical geometry but are distinct due to unique atomic postions enclosing them. The method of representation matrices is extended to make it applicable to represent and enumerate ...

The present study used a hydrothermal technique to synthesize undoped and Mn 2+ doped CdS/Zn 3 (PO 4 ) 2 semiconducting nanocomposite materials. Powder X-ray diffraction, scanning electron microscopy, UV-Vis diffuse reflectance spectrometer, Fourier transform- Infrared Spectroscopy-FT-IR, and photoluminescence techniques were employed to study structural, optical, and luminescence propertie...

We investigate the vacuum polarization effects associated with a charged massless spin1/2 field in a higher-dimensional space-time, induced by a composite topological defect. The defect is constituted by a global monopole living on a three-brane and two-dimensional conical space transverse to the latter. In addition, we assume the presence of an extra magnetic flux along the core of the conical...

Micro- and nanocubes of carbon have been synthesized by laser ablation in liquid. The morphology and structure analyses indicated that these micro- and nanocubes are single crystals with a body-centered cubic structure with a lattice constant of 5.46 angstroms, which is so-called C 8-like structure, and they have a slightly truncated shape bounded mainly by (200) facets. A blue-purple luminesce...

In this paper, the buckling of non-homogeneous isotropic truncated conical shells under uniform lateral pressure and resting on a Winkler foundation is investigated. The basic relations and governing equations have been obtained for non-homogeneous truncated conical shells. The critical uniform lateral pressures of non-homogeneous isotropic truncated conical shells with or without a Winkler fou...