We have measured the electrical resistivity of single crystal YbInCu4 under hydrostatic pressure up to 3.76 GPa and at temperature down to 33 mK. At ambient pressure, YbInCu4 undergoes a valence transition at about 40 K. The transition temperature Tv decreases linearly with increasing pressure: dTv/dP = -19.5 K/GPa below 1 GPa. Above 3 GPa, a hysteresis due to valence transition disappears and the transition could not be confirmed clearly. The resistivity of YbInCu4 at low temperature varies as \rho (T) = \rho 0 + A T2. The resistivity coefficient A and the residual resistivity \rho 0 increase gradually with the increasing pressure. These values increase rapidly just before a transition disappears and take maximum around 3.5 GPa. We observed a 'filamentary'-superconductivity above 0.74 GPa and below \sim 1.2 K.
PACS numbers: 72.15.Eb, 74.62.Fj, 75.30.Kz
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