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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