  Former results for a Tight-Binding (TB) model of CuO planes in La2CuO4 are
reinterpreted here to underline their wider implications. It is noted that
physical systems being appropriately described by the TB model can exhibit the
main strongly correlated electron system (SCES) properties, when they are
solved in the HF approximation, by also allowing crystal symmetry breaking
effects and non-collinear spin orientations of the HF orbitals. It is argued
how a simple 2D square lattice system of Coulomb interacting electrons can
exhibit insulator gaps and pseudogap states, and quantum phase transitions as
illustrated by the mentioned former works. A discussion is also presented here
indicating the possibility of attaining room temperature superconductivity, by
means of a surface coating with water molecules of cleaved planes of graphite,
being orthogonal to its c-axis. The possibility that 2D arrays of quantum dots
can give rise to the same effect is also proposed to consideration. The
analysis also furnishes theoretical insight to solve the Mott-Slater debate, at
least for the La2CuO4 and TMO band structures. The idea is to apply a properly
non-collinear GW scheme to the electronic structure calculation of these
materials. The fact is that the GW approach can be viewed as a HF procedure in
which the screening polarization is also determined. This directly indicates
the possibility of predicting the assumed dielectric constant in the previous
works. Thus, the results seem to identify that the main correlation properties
in these materials are determined by screening. Finally, the conclusions also
seem to be of help for the description of the experimental observations of
metal-insulator transitions and Mott properties in atoms trapped in planar
photonic lattices.
