Abstract
The mixed state c-axis resistivity of ${\mathrm{YBa}}_{2}{\mathrm{Cu}}_{4}{\mathrm{O}}_{8}$ has been measured with the magnetic field applied parallel to the a, b, and c axes. For all orientations of the magnetic field, a ``kink'' is observed in the resistive transition, associated with the first-order melting of an anisotropic three-dimensional vortex lattice. While the melting lines for $H\ensuremath{\parallel}b$ and $H\ensuremath{\parallel}c$ obey the expected relation ${H}_{m}{=H}_{0}(1\ensuremath{-}{T/T}_{c}{)}^{n}$ with $n=1.5, {H}_{m}(T)$ for $H\ensuremath{\parallel}a$ follows a different T dependence with a lower exponent. This result is consistent with a reduction in the dimensionality of ${\mathrm{YBa}}_{2}{\mathrm{Cu}}_{4}{\mathrm{O}}_{8}$ in this field geometry, as observed in normal-state magnetoresistance measurements.
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