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