Master of Science (MS)
First Committee Member
Number of Pages
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.
Dimensional; Electron; Interacting; Low; Study; System; Theoretical
University of Nevada, Las Vegas
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Zheng, Jianzhong, "Theoretical study of interacting low dimensional electron systems" (1993). UNLV Retrospective Theses & Dissertations. 276.