Electron pairing in small Hubbard Clusters.
POSTER
Abstract
Exact thermal studies of 4-site Hubbard Nanoclusters are carried out using the analytical eigenvalues. Electron pairing is seen when the on-site Coulomb interaction is smaller than a critical value Uc(T) in the repulsive Hubbard clusters which also show spin pairing at a lower temperature. Specific heat and probability calculations provide strong support for the existence of competing (paired and unpaired) phases near optimal doping. Attractive 4-site Hubbard model can be mapped on to the repulsive model and these studies can be used to understand ferroelectricity in certain metal clusters.