The effect of Dzyaloshinskii-Moriya interactions on the phase diagram and magnetic excitations of SrCu2(BO3)2

The orthogonal dimer structure in the SrCu2(BO3)2 spin-1/2 magnet provides a realization of the Shastry-Sutherland model. Using a dimer-product variational wave function, we map out the phase diagram of the Shastry-Sutherland model including anisotropies. Based on the variational solution, we construct a bond-wave approach to obtain the excitation spectra as a function of magnetic field. The characteristic features of the experimentally measured neutron and ESR spectra are reproduced, like the anisotropy induced zero field splittings and the persistent gap at higher fields.Comment: 20 pages,15 figure

Clipping polygon faces through a polyhedron of vision

A flight simulator combines flight data and polygon face terrain data to provide a CRT display at each window of the simulated aircraft. The data base specifies the relative position of each vertex of each polygon face therein. Only those terrain faces currently appearing within the pyramid of vision defined by the pilots eye and the edges of the pilots window need be displayed at any given time. As the orientation of the pyramid of vision changes in response to flight data, the displayed faces are correspondingly displaced, eventually moving out of the pyramid of vision. Faces which are currently not visible (outside the pyramid of vision) are clipped from the data flow. In addition, faces which are only partially outside of pyramid of vision are reconstructed to eliminate the outside portion. Window coordinates are generated defining the distance between each vertex and each of the boundary planes forming the pyramid of vision. The sign bit of each window coordinate indicates whether the vertex is on the pyramid of vision side of the associated boundary panel (positive), or on the other side thereof (negative). The set of sign bits accompanying each vertex constitute the outcode of that vertex. The outcodes (O.C.) are systematically processed and examined to determine which faces are completely inside the pyramid of vision (Case A--all signs positive), which faces are completely outside (Case C--All signs negative) and which faces must be reconstructed (Case B--both positive and negative signs)

Quantitative relations between biomass and organic/inorganic resuspended particulate matter

During a period of two years, organic and inorganic suspended particulate matter and phytoplankton biomass was frequently measured in Lake Erken, a moderately deep, eutrophic lake in south-eastern Sweden. Regression analyses of these data were used to differentiate and quantify newly produced planktonic particulate matter (zooplankton + phytoplankton + bacteria) and different types of resuspended particulate matter (organic, inorganic). Resuspended particulate matter was frequently dominant in the water column (yearly mean 59% of suspended particulate matter), and resuspended particulate organic matter ranged from 11 to 99% of suspended particulate organic matter (yearly mean: 40%). The high amount of resuspended particulate matter originates from erosion/transportation bottoms which are located at water depths above 16 m and which cover 93% of the lake area. Resuspended particulate matter was significantly related to diatom biomass but not to any other type of planktonic biomass. Consequently, the seasonal variations in the amount and distribution of diatoms can be explained by the hydrodynamic processes which affect the amount and distribution of resuspended particulate matter while seasonal variations in the amount and distribution of other planktonic biomass need further explanations, like active swimming, floating and grazing resistance

Orbital reconstruction in nonpolar tetravalent transition-metal oxide layers

A promising route to tailoring the electronic properties of quantum materials and devices rests on the idea of orbital engineering in multilayered oxide heterostructures. Here we show that the interplay of interlayer charge imbalance and ligand distortions provides a knob for tuning the sequence of electronic levels even in intrinsically stacked oxides. We resolve in this regard the $d$-level structure of layered Sr$_2$IrO$_4$ by electron spin resonance. While canonical ligand-field theory predicts $g_{\parallel}$-factors $\!<\!2$ for positive tetragonal distortions as present in Sr$_2$IrO$_4$, the experiment indicates $g_{\parallel}\!>\!2$. This implies that the iridium $d$ levels are inverted with respect to their normal ordering. State-of-the-art electronic-structure calculations confirm the level switching in Sr$_2$IrO$_4$, whereas we find them in Ba$_2$IrO$_4$ to be instead normally ordered. Given the nonpolar character of the metal-oxygen layers, our findings highlight the tetravalent transition-metal 214 oxides as ideal platforms to explore $d$-orbital reconstruction in the context of oxide electronics

Recent advances and novelties in the thin cell layer-based plant biotechnology: a mini-review

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