Award Date

1-1-1993

Degree Type

Thesis

Degree Name

Master of Science (MS)

Department

Physics

First Committee Member

Changfeng Chen

Number of Pages

69

Abstract

This thesis addresses the question of a strongly interacting many-body problem: the Hubbard model on one- and two-dimensional lattices. The technique employed is the small-cluster method wherein the full many-body Hamiltonian for finite clusters with periodic boundary conditions (PBC's) is solved exactly. We first apply this technique to an extended one-dimensional chain and a two-dimensional square-lattice Hubbard model. We then construct a two-dimensional overlayer/substrate Hubbard model with first- and second-nearest-neighbor hopping, on-site and nearest-neighbor interactions, and overlayer-site orbital energy. The ground-state properties are investigated and discussed in a many-body picture.

Keywords

Dimensional; Electron; Interacting; Low; Study; System; Theoretical

Controlled Subject

Nuclear physics

File Format

pdf

File Size

1556.48 KB

Degree Grantor

University of Nevada, Las Vegas

Language

English

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