863 research outputs found

    First evidence for charge ordering in NaV2_2O5_5 from Raman spectroscopy

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    We argue on the basis of symmetry selection rules and Raman scattering spectra that NaV2_2O5_5 undergoes a charge ordering phase transition at Tc_c=34 K. Such a transition is characterized by the redistribution of the charges at the phase transition and corresponds to the change of the vanadium ions, from uniform V4.5+^{4.5+} to two different V4+^{4+} and V5+^{5+} states. In the low temperature phase the V4+^{4+} ions are forming a "zig-zag" ladder structure along the {\bf b}-axis, consistent with the symmetry of the P2/b space group.Comment: to be published in solid state communication

    Renormalization-group approach to the stochastic Navier--Stokes equation: Two-loop approximation

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    The field theoretic renormalization group is applied to the stochastic Navier--Stokes equation that describes fully developed fluid turbulence. The complete two-loop calculation of the renormalization constant, the β\beta function, the fixed point and the ultraviolet correction exponent is performed. The Kolmogorov constant and the inertial-range skewness factor, derived to second order of the \eps expansion, are in a good agreement with the experiment. The possibility of the extrapolation of the \eps expansion beyond the threshold where the sweeping effects become important is demonstrated on the example of a Galilean-invariant quantity, the equal-time pair correlation function of the velocity field. The extension to the dd-dimensional case is briefly discussed.Comment: 20 pages, 3 figure

    On the stability problem in the O(N) nonlinear sigma model

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    The stability problem for the O(N) nonlinear sigma model in the 2+\epsilon dimensions is considered. We present the results of the 1/N^{2} order calculations of the critical exponents (in the 2<d<4 dimensions) of the composite operators relevant for this problem. The arguments in the favor of the scenario with the conventional fixed point are given.Comment: 9 pages, revtex, 1 Postscript figur
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