Title

Investigations of the quantum Hall effect in graphene

Date of Award

2007

Publication Type

Master Thesis

Department

Physics

Rights

info:eu-repo/semantics/openAccess

Creative Commons License

Creative Commons Attribution-Noncommercial-No Derivative Works 4.0 License
This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 4.0 License.

Abstract

The purpose of this thesis is to understand the quantum Hall effect in graphene. In particular, we investigate the occurrence of various crystalline phases in the first three Landau levels; we determine which crystalline structure is energetically favorable as the filling factor is varied. In this thesis, we begin with a review of the quantum Hall effect in the two-dimensional electron gas (2DEG); we review and discuss the Hartree-Fock method which has been successfully used to investigate various aspects of the quantum Hall effect in the 2DEG. We then utilize the Hartree-Fock method to investigate the quantum Hall effect in graphene and, in particular, the occurrence of crystalline phases in the first three Landau levels.

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