Monte Carlo Simulation of Interacting Electron Models
by a New Determinant Approach
by Mucheng Zhang
(Under the direction of Robert W. Robinson and Heinz-Bernd Schüttler)
Abstract
This work discusses the calculation of determinants and Monte
Carlo simulation of Hubbard models by a new determinant approach which is
derived from a Feynman diagram expansion for the single particle Green's
function of the Hubbard model. We developed a determinant formalism for the
extended Hubbard model and a Monte Carlo summation
algorithm to evaluate the relevant diagram determinant sums.
Index words: Monte Carlo Simulation, Hubbard Model, Feynman diagram, Determinant