Basics of quantum field theory of electromagnetic interaction processes in single-layer graphene



          The content of this work is the study of electromagnetic interaction in single-layer graphene by means of the perturbation theory.
The interaction of electromagneticfield with Dirac fermions in single-layer graphene has a peculiarity: Dirac fermions in graphene interact not only with the electromagnetic wave propagating within the graphene sheet, but also with electromagnetic field propagating from a location outside the graphene sheet and illuminating this sheet.
The interaction Hamiltonian of the system comprising electromagnetic field and Dirac fermions fields contains the limits at graphene plane of electromagneticfield vector and scalar potentials which can be shortly called boundary electromagneticfield.
The study ofS-matrix requires knowing the limits at graphene plane of 2-point Green functions of electromagneticfield which also can be shortly called boundary 2-point Green functions of electromagneticfield.
As the first example of the application of perturbation theory, the second order terms in the perturbative expansions of boundary 2-point Green functions of electromagneticfield as well as of 2-point Green functions of Dirac fermionfields are explicitly derived. Further extension of the application of perturbation theory is also discussed.

Title: 


Basics of quantum field theory of electromagnetic interaction processes in single-layer graphene
Authors: Nguyen, Van Hieu
Keywords: Electromagnetic
Green function
Perturbation theory
Dirac fermion
graphene
Issue Date: 2016
Publisher: H. : ĐHQGHN
Citation: ISIKNOWLEDGE
Abstract: The content of this work is the study of electromagnetic interaction in single-layer graphene by means of the perturbation theory. The interaction of electromagneticfield with Dirac fermions in single-layer graphene has a peculiarity: Dirac fermions in graphene interact not only with the electromagnetic wave propagating within the graphene sheet, but also with electromagnetic field propagating from a location outside the graphene sheet and illuminating this sheet. The interaction Hamiltonian of the system comprising electromagnetic field and Dirac fermions fields contains the limits at graphene plane of electromagneticfield vector and scalar potentials which can be shortly called boundary electromagneticfield. The study ofS-matrix requires knowing the limits at graphene plane of 2-point Green functions of electromagneticfield which also can be shortly called boundary 2-point Green functions of electromagneticfield. As the first example of the application of perturbation theory, the second order terms in the perturbative expansions of boundary 2-point Green functions of electromagneticfield as well as of 2-point Green functions of Dirac fermionfields are explicitly derived. Further extension of the application of perturbation theory is also discussed.
Description: ADVANCES IN NATURAL SCIENCES-NANOSCIENCE AND NANOTECHNOLOGY Volume: 7 Issue: 3 ; 11 p. ; TNS06373
URI: http://repository.vnu.edu.vn/handle/VNU_123/26696
Appears in Collections:Bài báo của ĐHQGHN trong Web of Science


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