A simple computational tool to investigate strongly correlated system

Most often, the mathematical and computational tools to investigate strongly correlated systems are complex, thereby making it difficult to following the research in this field of correlated electrons which represents the frontier of our understanding of the electronic and magnetic properties of solids. It is therefore necessary to develop a simplified computational tool for few particles to give useful insight into these strongly correlated systems. The purpose of this study is to extend our algorithmic formulation of a highly simplified correlated variational approach (HSCVA) for strongly correlated two electrons on many sites in all three dimensions to many electrons on many sites in all three dimensions within a t-U-V-J model. The parameter space for obtaining partial polarization, full polarization and mixed states which is a possible signature for superconductivity are delineated within this model. The implication for a number of strongly correlated materials is discussed.