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The complex resistivity $\hat{\rho}(\omega)$ of the vortex lattice in anuntwinned crystal of 93-K $\rm YBa_2Cu_3O_7$ has been measured at frequencies$\omega/2\pi$ from 100 kHz to 20 MHz in a 2-Tesla field $\bf H\parallel c$,using a 4-probe RF transmission technique that enables continuous measurementsversus $\omega$ and temperature $T$. As $T$ is increased, the inductance ${\calL}_s(\omega) ={\rm Im} \hat{\rho}(\omega)/ \omega$ increases steeply to a cuspat the melting temperature $T_m$, and then undergoes a steep collapseconsistent with vanishing of the shear modulus $c_{66}$. We discuss in detailthe separation of the vortex-lattice inductance from the `volume' inductance,and other skin-depth effects. To analyze the spectra, we consider a weaklydisordered lattice with a low pin density. Close fits are obtained to$\rho_1(\omega)$ over 2 decades in $\omega$. Values of the pinning parameter$\kappa$ and shear modulus $c_{66}$ obtained show that $c_{66}$ collapses byover 4 decades at $T_m$, whereas $\kappa$ remains finite.Comment: 11 pages, 8 figures, Phys. Rev. B, in pres

physical review. b, condensed matter

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Collapse of the vortex-lattice inductance and shear modulus at the melting transition in untwinnedYBa2Cu3