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It is proved that the ground state under the supreme single-siteapproximation (S^3A), the dynamical mean-field theory (DMFT), or the dynamicalcoherent potential approximation (DCPA) is the normal Fermi liquid in thepresence of an infinitesimally weak hybridization with an electron reservoir,except for the just half filling of electrons and the infinite on-siterepulsion. In the strong-coupling regime, in particular, the Fermi liquid isstabilized under S^3A, DMFT, or DCPA by the Kondo effect, which stabilizes alocal singlet on each unit cell, and is further stabilized beyond it by theFock-type term of the superexchange interaction or a resonating valence bond(RVB) mechanism, which stabilizes a local singlet on each pair of nearestneighbors. The Fermi liquid is a relevant normal state to study possiblelower-temperature phases or the true ground state. It is proposed that theFermi liquid stabilized by the Kondo effect and the RVB mechanism is the normalstate of cuprate high-temperature superconductors.

Fermi liquid in the Hubbard Model with an electron reservoir: Normal state of cuprate superconductors