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Spring 2015

Polachic, Christopher J A

The conventional, single band Hubbard model captures the dynamics that arise in strongly correlated electron systems in the competition between electron transport and local Coulomb interactions. However, some of the important physics of real lattices is overlooked by its simplicity. The dynamic...

Fall 2016

Pavelich, Robert L

We present a method, intended primarily for pedagogical purposes, to extend the one-dimensional Kronig-Penney model (the standard starting point for solid-state physics) to the case of arbitrary potential shapes and to higher dimensions using matrix mechanics. We generate, either analytically or...

Fall 2009

Dogan, Fatih

In this thesis, we have analyzed one-dimensional fermion-spin interactions in the dilute limit. The two cases we analyze represent different paradigms. For the first part, we look at the existence of “spins” for all sites as an effective model to describe the rearrangement of core electrons...

Fall 2022

Thibault, John Anthony

Exchange bias and interfacial coupling effects in thin-film bilayers of magnetic materials were investigated during the period July, 2018, to Sep, 2021. Thin films of permalloy and cobalt oxide were deposited, in the form of micrometer size bilayer disks, on doubly-clamped nanomechanical...

Fall 2014

Othman, Anas A

We have studied some criteria for bound state energies in the non-relativistic regime by using the 3D Schrodinger equation. In relations with these criteria, we examined: The number of bound states, the critical conditions, eigenvalues, and infinite versus finite number of eigenvalues, and the...