Introductory tutorial

Research output: Chapter in Book/Report/Conference proceedingChapter

1 Citation (Scopus)

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 languageEnglish (US)
Title of host publicationOptical Properties of Graphene
PublisherWorld Scientific Publishing Co. Pte. Ltd.
Pages3-40
Number of pages38
ISBN (Electronic)9789813148758
ISBN (Print)9789813148741
DOIs
StatePublished - Jan 1 2017

Fingerprint

Graphite
Graphene
graphene
Optical transitions
Wave functions
optical transition
wave functions
Transfer matrix method
Maxwell equations
Maxwell equation
matrix methods
Light absorption
Semiconductor quantum wells
optical spectrum
Absorption spectra
optical absorption
derivation
quantum wells
Polarization
absorption spectra

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Materials Science(all)

Cite this

Binder, R., & Kwong, N-H. (2017). Introductory tutorial. In Optical Properties of Graphene (pp. 3-40). World Scientific Publishing Co. Pte. Ltd.. https://doi.org/10.1142/9789813148758_0001

Introductory tutorial. / Binder, Rudolf; Kwong, Nai-Hang.

Optical Properties of Graphene. World Scientific Publishing Co. Pte. Ltd., 2017. p. 3-40.

Research output: Chapter in Book/Report/Conference proceedingChapter

Binder, R & Kwong, N-H 2017, Introductory tutorial. in Optical Properties of Graphene. World Scientific Publishing Co. Pte. Ltd., pp. 3-40. https://doi.org/10.1142/9789813148758_0001
Binder R, Kwong N-H. Introductory tutorial. In Optical Properties of Graphene. World Scientific Publishing Co. Pte. Ltd. 2017. p. 3-40 https://doi.org/10.1142/9789813148758_0001
Binder, Rudolf ; Kwong, Nai-Hang. / Introductory tutorial. Optical Properties of Graphene. World Scientific Publishing Co. Pte. Ltd., 2017. pp. 3-40
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