Strongly Correlated Electron Systems in The Half Filled Band of The Hubbard Model

Abstract

Strong correlation of interacting electrons has been widely studied under the single band Hubbard model with the aid of several techniques. These numerous studies have been carried out at different band filling. In this work, the ground state properties in the half filled band in one dimension are studied employing a simplified modification of the Lanczos technique with particular interest in the energies and the wave functions. Several interaction strengths are considered both in the positive u limit and negative u limit and the interesting case of no interaction.