An explicit formula for the Berezin star product

We prove an explicit formula of the Berezin star product on Kaehler manifolds. The formula is expressed as a summation over certain strongly connected digraphs. The proof relies on a combinatorial interpretation of Englis' work on the asymptotic expansion of the Laplace integral.Comment: 19 pages, to appear in Lett. Math. Phy

Influence of nonlocal electrodynamics on the anisotropic vortex pinning in YNi2B2CYNi_2B_2C

We have studied the pinning force density Fp of YNi_2B_2C superconductors for various field orientations. We observe anisotropies both between the c-axis and the basal plane and within the plane, that cannot be explained by usual mass anisotropy. For magnetic field $H \parallel c$, the reorientation structural transition in the vortex lattice due to nonlocality, which occurs at a field $H_1 \sim 1kOe$, manifests itself as a kink in Fp(H). When $H \bot c$, Fp is much larger and has a quite different H dependence, indicating that other pinning mechanisms are present. In this case the signature of nonlocal effects is the presence of a fourfold periodicity of Fp within the basal plane.Comment: 4 pages, 3 figure

Gymnosperms from the Early Cretaceous Crato Formation (Brazil). II. Cheirolepidiaceae

Conifers are common in the Early Cretaceous Crato flora. Sterile foliage shoots of several morphotypes occur. Good preservation of several of these specimens allows detailed morphological and anatomical studies. Based on these characters, two taxa of Cheirolepidiaceae, Tomaxellia biforme and Frenelopsis sp., are identified. The palaeogeographic distribution of the genus Tomaxellia currently extends from southern South America northwards to the palaeoequatorial region. The morphological and anatomical characters of both taxa might be interpreted as adaptations to a warm and temporarily dry palaeoclimate, however their habitat can not be reconstructed yet, due to scarcity of the remains. Koniferen stellen eine wesentliche Komponente der unterkretazischen Crato-Flora dar. Es kommen sterile beblätterte Zweige verschiedener Morphotypen vor. Die gute Erhaltung einiger dieser Fossilreste lässt detaillierte morphologisch-anatomische Untersuchungen zu. Auf der Basis solcher Merkmale wurden zwei Taxa der Cheirolepidiaceae, Tomaxellia biforme und Frenelopsis sp., identifiziert. Das Areal der Gattung Tomaxellia wird damit vom südlichen Südamerika nordwärts, in die paläoäquatoriale Region erweitert. Morphologische und anatomische Merkmale beider Taxa können als Anpassungserscheinungen an ein warmes und periodisch trockenes Paläoklima interpretiert werden. Auf Grund des seltenen Vorkommens solcher Fossilreste können noch keine Angaben zu ihrem ehemaligen Habitat gemacht werden. doi:10.1002/mmng.200600009</a

From dispersionless to soliton systems via Weyl-Moyal like deformations

The formalism of quantization deformation is reviewed and the Weyl-Moyal like deformation is applied to systematic construction of the field and lattice integrable soliton systems from Poisson algebras of dispersionless systems.Comment: 26 page

A study of the superconducting gap in RNi2_2B2_2C (R = Y, Lu) single crystals by inelastic light scattering

Superconductivity-induced changes in the electronic Raman scattering response were observed for the RNi$_2$B$_2$C (R = Y, Lu) system in different scattering geometries. In the superconducting state, 2$\Delta$-like peaks were observed in A$_{1g}$, B$_{1g}$, and B$_{2g}$ spectra from single crystals. The peaks in A$_{1g}$ and B$_{2g}$ symmetries are significantly sharper and stronger than the peak in B$_{1g}$ symmetry. The temperature dependence of the frequencies of the 2$\Delta$-like peaks shows typical BCS-type behavior, but the apparent values of the $2\Delta$ gap are strongly anisotropic for both systems. In addition, for both YNi$_2$B$_2$C and LuNi$_2$B$_2$C systems, there exists reproducible scattering strength below the $2\Delta$ gap which is roughly linear to the frequency in B$_{1g}$ and B$_{2g}$ symmetries. This discovery of scattering below the gap in non-magnetic borocarbide superconductors, which are thought to be conventional BCS-type superconductors, is a challenge for current understanding of superconductivity in this system.Comment: Added text, changed a figure, and added references. Will appear in Phys. Rev.

Four-fold basal plane anisotropy of the nonlocal magnetization of YNi2B2C

Studies of single crystal YNi2B2C have revealed a four-fold anisotropy of the equilibrium magnetization in the square crystallographic basal plane. This pi/2 periodicity occurs deep in the superconductive mixed state. In this crystal symmetry, an ordinary superconductive mass anisotropy (as in usual London theory) allows only a constant, isotropic response. In contrast, the experimental results are well described by generalized London theory incorporating non-local electrodynamics, as needed for this clean, intermediate-k superconductor.Comment: 4 pages, 4 figure

Equilibrium basal-plane magnetization of superconductive YNi(2)B(2)C - the influence of non-local electrodynamics

For a single crystal of YNi(2)B(2)C superconductor, the equilibrium magnetization M in the square basal plane has been studied experimentally as a function of temperature and magnetic field. While the magnetization M(H) deviates from conventional London predictions, a recent extension of London theory (to include effects of non-local electrodynamics) describes the experiments accurately. The resulting superconductive parameters are well behaved. These results are compared with corresponding findings for the case with M perpendicular to the basal plane.Comment: 7 pages, 5 Postscript Figures, 2 table