We have performed magnetization measurements at high magnetic fields of up to 53 T on single crystals of a uranium heavy-fermion compound UZn grown by the Bridgman method. In the antiferromagnetic state below the N'{e}el temperature = 9.7 K, a metamagnetic transition is found at 32 T for the field along the [110] direction (-axis). The magnetic phase diagram for the field along the [110] direction is given. The magnetization curve shows a nonlinear increase at 35 T in the paramagnetic state above up to a characteristic temperature where the magnetic susceptibility or electrical resistivity shows a maximum value. This metamagnetic behavior of the magnetization at is discussed in comparison with the metamagnetic magnetism of the heavy-fermion superconductors UPt, URuSi, and UPdAl. We have also carried out high-pressure resistivity measurement on UZn using a diamond anvil cell up to 8.7 GPa. Noble gas argon was used as a pressure-transmitting medium to ensure a good hydrostatic environment. The N'{e}el temperature is almost pressure-independent up to 4.7 GPa and starts to increase in the higher-pressure region. The pressure dependences of the coefficient of the term in the electrical resistivity , the antiferromagnetic gap , and the characteristic temperature are discussed. It is found that the effect of pressure on the electronic states in UZn is weak compared with those in the other heavy fermion compounds.

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