Abstract
Using Monte Carlo simulation we have computed the phase diagram of a superspin model of the SO(5) symmetry between antiferromagnetism (AF) and d-wave superconductivity (SC). A bicritical point is observed at a finite temperature where the second-order AF and SC transition lines merge tangentially into a first-order line in the temperature vs. doping rate phase diagram. In the regime of the doping rate where the SC is achieved at low temperatures, maximal AF correlation length is observed at a temperature above the SC transition point T c when AF coupling is much stronger than SC coupling. The relationship between this behavior and the spin-gap phenomenon is addressed.
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