Phase Diagram of a Superconducting and Antiferromagnetic System with SO(5) Symmetry
Abstract
Temperature vs. chemical-potential phase diagrams of an SO(5) model for high-(Tc) cuprates are calculated by Monte Carlo simulation. There is a bicritical point where the second-order antiferromagnetism (AF) and superconductivity transition lines merge tangentially into a first-order line, and the SO(5) symmetry is achieved. In an external magnetic field, the AF ordering is first order in the region where the first-order melting line of flux lattice joins in. There is a tricritical point on the AF transition line from which the AF ordering becomes second order.
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