564 research outputs found

    Magnetic Properties of the low dimensional spin system (VO)2_2P2_2O7_{7}: ESR and susceptibility

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    Experimental results on magnetic resonance (ESR) and magnetic susceptibility are given for single crystalline (VO)2_2P2_2O7_{7}. The crystal growth procedure is briefly discussed. The susceptibility is interpreted numerically using a model with alternating spin chains. We determine JJ=51 K and ή\delta=0.2. Furthermore we find a spin gap of ≈6\approx 6meV from our ESR measurements. Using elastic constants no indication of a phase transition forcing the dimerization is seen below 300 K.Comment: 7 pages, REVTEX, 7 figure

    Boogene Anthroponosien

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    Anisotropic Exchange in LiCuVO4_4 probed by ESR

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    We investigated the paramagnetic resonance in single crystals of LiCuVO4_4 with special attention to the angular variation of the absorption spectrum. To explain the large resonance linewidth of the order of 1 kOe, we analyzed the anisotropic exchange interaction in the chains of edge-sharing CuO6_6 octahedra, taking into account the ring-exchange geometry of the nearest-neighbor coupling via two symmetric rectangular Cu-O bonds. The exchange parameters, which can be estimated from theoretical considerations, nicely agree with the parameters obtained from the angular dependence of the linewidth. The anisotropy of this magnetic ring exchange is found to be much larger than it is usually expected from conventional estimations which neglect the bonding geometry. Hence, the data yield the evidence that in copper oxides with edge-sharing structures the role of the orbital degrees of freedom is strongly enhanced. These findings establish LiCuVO4_4 as one-dimensional compound at high temperatures. PACS: 76.30.-v, 76.30.Fc, 75.30.EtComment: 18 pages, 6 figure

    A generalized framework towards structural mechanics of three-layered composite structures

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    Three-layered composite structures find a broad application. Increasingly, composites are being used whose layer thicknesses and material properties diverge strongly. In the perspective of structural mechanics, classical approaches to analysis fail at such extraordinary composites. Therefore, emphasis of the present approach is on arbitrary transverse shear rigidities and structural thicknesses of the individual layers. Therewith we employ a layer-wise approach for multiple (quasi-) homogeneous layers. Every layer is considered separately whereby this disquisition is based on the direct approach for deformable directed surfaces. We limit our considerations to geometrical and physical linearity. In this simple and familiar setting we furnish a layer-wise theory by introducing constraints at interfaces to couple the layers. Hereby we restrict our concern to surfaces where all material points per surface are coplanar and all surfaces are plane parallel. Closed-form solutions of the governing equations enforce a narrow frame since they are strongly restrictive in the context of available boundary conditions. Thus a computational solution approach is introduced using the finite element method. In order to determine the required spatially approximated equation of motion, the principle of virtual work is exploited. The discretization is realized via quadrilateral elements with quadratic shape functions. Hereby we introduce an approach where nine degrees of freedom per node are used. In combination with the numerical solution approach, this layer-wise theory has emerged as a powerful tool to analyze composite structures. In present treatise, we would like to clarify the broad scope of this approach

    Spin correlations and Dzyaloshinskii-Moriya interaction in Cs2_2CuCl4_4

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    We report on electron spin resonance (ESR) studies of the spin relaxation in Cs2_2CuCl4_4. The main source of the ESR linewidth at temperatures T≀150T \leq 150 K is attributed to the uniform Dzyaloshinskii-Moriya interaction. The vector components of the Dzyaloshinskii-Moriya interaction are determined from the angular dependence of the ESR spectra using a high-temperature approximation. Both the angular and temperature dependence of the ESR linewidth have been analyzed using a self-consistent quantum-mechanical approach. In addition analytical expressions based on a quasi-classical picture for spin fluctuations are derived, which show good agreement with the quantum-approach for temperatures T≄2J/kB≈15T \geq 2J/k_{\rm B} \approx 15 K. A small modulation of the ESR linewidth observed in the acac-plane is attributed to the anisotropic Zeeman interaction, which reflects the two magnetically nonequivalent Cu positions

    On the Kernel of Z2s\mathbb{Z}_{2^s}-Linear Hadamard Codes

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    The Z2s\mathbb{Z}_{2^s}-additive codes are subgroups of Z2sn\mathbb{Z}^n_{2^s}, and can be seen as a generalization of linear codes over Z2\mathbb{Z}_2 and Z4\mathbb{Z}_4. A Z2s\mathbb{Z}_{2^s}-linear Hadamard code is a binary Hadamard code which is the Gray map image of a Z2s\mathbb{Z}_{2^s}-additive code. It is known that the dimension of the kernel can be used to give a complete classification of the Z4\mathbb{Z}_4-linear Hadamard codes. In this paper, the kernel of Z2s\mathbb{Z}_{2^s}-linear Hadamard codes and its dimension are established for s>2s > 2. Moreover, we prove that this invariant only provides a complete classification for some values of tt and ss. The exact amount of nonequivalent such codes are given up to t=11t=11 for any s≄2s\geq 2, by using also the rank and, in some cases, further computations
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