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Temperature vs. chemical-potential phase diagrams of an SO(5) model forhigh-(T_c) cuprates are calculated by Monte Carlo simulation. There is abicritical point where the second-order antiferromagnetism (AF) andsuperconductivity transition lines merge tangentially into a first-order line,and the SO(5) symmetry is achieved. In an external magnetic field, the AFordering is first order in the region where the first-order melting line offlux lattice joins in. There is a tricritical point on the AF transition linefrom which the AF ordering becomes second order.Comment: 6 pages, 5 postscript figures, RevTe

Phase Diagram of a Superconducting and Antiferromagnetic System with SO(5) Symmetry