Finite-Temperature Constraint-Pairing Mean Field Theory

Recently Tsuchimochi and Scuseria have developed a constrained-pairing mean-field theory (CPMFT), based on the Hartree-Fock-Bogoliubov theory. Application to molecular systems shows that CPMFT can accurately describe the binding energy curve in the dissociation of molecules, where electron correlation is strong. However, because CPMFT is a zero-temperature theory, it is not suitable for the description of high-temperature superconductivity and normal state of high-temperature superconductors. Here a finite-temperature generalization is formulated for the thermodynamic state of quantum many-body systems.