Abstract
A thermodynamic study of a many-particle two-level system with the SU(2) ⊗ SU(2)-symmetry interaction in the particle–particle and particle–hole channels is carried out. Using the symmetry of the system, its free energy and phase diagram are calculated. It is demonstrated that the superconducting (particle–particle) and excitonic (particle–hole) condensates are both formed in the considered system which undergoes two phase transitions. The calculated phase diagram represents qualitatively the phase diagram typical for materials with the high-temperature superconducting properties, including the existence of two phase transitions, the first and second order phase transitions, triple and tricritical points.
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