Date of Award
University or Center
Atlanta University (AU)
School of Arts and Sciences
Nonperturbative solutions to the Hubbard model are found by using the functional derivative method. A system of closed equations is obtained for the Green's functions of the Hubbard model. Exact expressions for the self-energy are derived which involve only first order functional derivatives. A scheme is proposed for systematically calculating self-energy corrections. We apply the solution to finite rings of two and four lattice sites and compare to the results of numerical calculations on these systems.
Thomas, Lori Ann, "Nonperturbative solutions to the Hubbard Model" (1987). ETD Collection for AUC Robert W. Woodruff Library. 1179.