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We present spatial and dynamic information on the s=1/2 distorted kagomeantiferromagnet volborthite, Cu3V2O7(OD)2.2D2O, obtained by polarized andinelastic neutron scattering. The instantaneous structure factor, S(Q), isdominated by nearest neighbor pair correlations, with short range order at wavevectors Q1=0.65(3) {\AA}^-1 and Q2=1.15(5) {\AA}^-1 emerging below 5 K. Theexcitation spectrum, S(Q,{\omega}), reveals two steep branches dispersing fromQ1 and Q2, and a flat mode at {\omega}=5.0(2) meV. The results allow us toidentify the cross-over at T*=1 K in 51V NMR and specific heat measurements asthe build-up of correlations at Q_1. We compare our data to theoretical modelsproposed for volborthite, and demonstrate that the excitation spectrum can beexplained by spin-wave-like excitations with anisotropic exchange parameters,as also suggested by recent local density calculations.

Pair Correlations, Short Range Order and Dispersive Excitations in the Quasi-Kagome Quantum Magnet Volborthite