We have studied the Hubbard model which is a model that is used to describe the physics of strongly correlated Fermions systems. Using the Hubbard model, we worked on some systems in one dimension (1-D) at half fillings. We employed the numerical exact diagonalization technique and found out that there was a transition from metallic state to a superconducting state as we move from the positive value of the On-site interaction strength to the negative value of the On-site interaction strength U.
Keywords: Hubbard model, exact diagonalization, superconducting state and interaction strength
Journal of the Nigerian Association of Mathematical Physics, Volume 19 (November, 2011), pp 571 – 574