Abstract
In this Introductory Tutorial, we first present a basic overview of optical processes and optical transitions in graphene and compare them to optical transitions in other material systems, such as semiconductor quantum wells. We discuss basic aspects of the bandstructure of graphene, both close to the Dirac point and away from that point. This is followed by a text-book level introduction to the tight-binding model and its application to graphene. Analytical expressions for the Bloch wave functions and the electronic bandstructure close to the Dirac point will be derived. The Bloch wave functions will then be used as an input to the calculation of optical matrix elements. The derivation of the interband polarization will be performed within the frame work of many-particle systems described in second quantization. Finally, the linear optical absorption spectrum of graphene will be derived, using a transfer matrix method for the approximate solution of Maxwell's equations.
Original language | English (US) |
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Title of host publication | Optical Properties of Graphene |
Publisher | World Scientific Publishing Co. Pte Ltd |
Pages | 3-40 |
Number of pages | 38 |
ISBN (Electronic) | 9789813148758 |
ISBN (Print) | 9789813148741 |
DOIs | |
State | Published - Jan 1 2017 |
ASJC Scopus subject areas
- General Physics and Astronomy
- General Materials Science