Invariant Physical Properties in High Temperature Superconductivity

Applying our recently proposed slave-boson theory (Lee and Salk in Phys. Rev. B 64:052501, 2001; Phys. Rev. B 71:134518, 2005) of the t−J Hamiltonian which reproduces the dome-shaped phase diagram and consistently fits other physical properties including optical conductivity involved with charge dynamics, we study the magnetic susceptibility by resorting to a computed phase diagram. Specifically, we discuss the predicted invariant physical properties of both the magnetic susceptibility and the phase diagram.