Abstract
The vortex correlation along the c axis in high quality single crystals of ${\mathrm{YBa}}_{2}{\mathrm{Cu}}_{4}{\mathrm{O}}_{8}$ has been investigated as a function of temperature T in different magnetic fields, using the flux transformer configuration. A simultaneous sharp drop associated with the vortex lattice melting is observed in both the primary and secondary voltages ${(V}_{\mathrm{top}}$ and ${V}_{\mathrm{bot}}).$ Just above the melting temperature, the vortices form three-dimensional line liquid with the correlation length along the c direction ${L}_{c}<~t,$ the sample thickness. The temperature where a resistive peak in ${R}_{\mathrm{bot}}$ develops corresponds to the decoupling temperature ${T}_{d}$ at which the vortices lose their correlation along the c direction and they dissolve into the two-dimensional pancake vortices. The $H\ensuremath{-}T$ phase diagram for the ${\mathrm{YBa}}_{2}{\mathrm{Cu}}_{4}{\mathrm{O}}_{8}$ single crystal is obtained.
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