Publication Date

2016

Document Type

Dissertation/Thesis

First Advisor

Winkler, Roland

Degree Name

M.S. (Master of Science)

Legacy Department

Department of Physics

LCSH

Graphene

Abstract

We study, analytically, the edge states in monolayer graphene. We use the Hamiltonian based on the nearest neighbour tight binding approximation. We proceed to Taylor expand the Hamiltonian about the time-reversal invariant M point. Working with this Hamiltonian, we demonstrate the presence of dispersionless edge states for graphene ribbons with zigzag edges. Taking a purely analytical approach to the problem avails us not only a better qualitative understanding, but also gives us a finer control over the system.

Comments

Advisors: Roland Winkler.||Committee members: Omar Chmaissem; Michel van Veenendaal.||Includes bibliographical references.||Includes illustrations.

Extent

43 pages

Language

eng

Publisher

Northern Illinois University

Rights Statement

In Copyright

Rights Statement 2

NIU theses are protected by copyright. They may be viewed from Huskie Commons for any purpose, but reproduction or distribution in any format is prohibited without the written permission of the authors.

Media Type

Text

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