The purpose of this thesis is to study various electronic properties of graphene multilayers and graphite thin films. A Fortran program was developed to calculate the electronic band structure in the tight-binding approximation of graphene multilayers. The results were studied as a function of the number of graphene layers. The code accounts for band crossing, and allows tracking of each valence and conduction band. In addition, the density of states is calculated numerically using an analytic continuation technique. A subroutine determining the Fermi energy at a given density of electrons was written to calculate the Fermi energy and density of states at the Fermi level as a function of the number of layers. We then consider the band structure of graphite in the effective mass approximation. In the present work we calculate the density of states at the Fermi energy as the number of filled sub-bands increases. We show that the density of states oscillates as a function of graphite thickness. We use this to determine how the quantum size effect affects the critical temperature of a proximity system as the graphite film thickness is increased. We obtain an oscillatory function of the thickness and drive an analytic expression for the oscillation intervals. Recent experimental results are discussed in the light of the theory.
|School:||California State University, Long Beach|
|School Location:||United States -- California|
|Source:||MAI 50/03M, Masters Abstracts International|
|Subjects:||Condensed matter physics|
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