Two-point Green functions of free Dirac fermions in single-layer graphene ribbons with zigzag and armchair edges

Green function technique is a very efficient theoretical tool for the study of dynamical quantum processes in many-body systems. For the study of dynamical quantum processes in graphene ribbons it is necessary to know two-point Green functions of free Dirac fermions in these materials. The purpose of present work is to establish explicit expressions of two-point Green functions of free Dirac fermions in single-layer graphene ribbons with zigzag and armchair edges. By exactly solving the system of Dirac equations with appropriate boundary conditions on the edges of graphene ribbons we derive formulae determining wave functions of free Dirac fermions in above-mentioned materials. Then the quantum fields of free Dirac fermions are introduced, and explicit expressions of two-point Green functions of free Dirac fermions in single-layer graphene ribbons with zigzag and armchair edges are established.

Title: Two-point Green functions of free Dirac fermions in single-layer graphene ribbons with zigzag and armchair edges
Authors: Nguyen, V.H.
Nguyen, B.H.
Dinh, N.D.
Pham, N.A.H.
Ngo, V.T.
Keywords: Armchair, Graphene, Green function, Ribbon, Zigzag
Issue Date: 2016
Publisher: Institute of Physics Publishing
Citation: Scopus
Abstract: Green function technique is a very efficient theoretical tool for the study of dynamical quantum processes in many-body systems. For the study of dynamical quantum processes in graphene ribbons it is necessary to know two-point Green functions of free Dirac fermions in these materials. The purpose of present work is to establish explicit expressions of two-point Green functions of free Dirac fermions in single-layer graphene ribbons with zigzag and armchair edges. By exactly solving the system of Dirac equations with appropriate boundary conditions on the edges of graphene ribbons we derive formulae determining wave functions of free Dirac fermions in above-mentioned materials. Then the quantum fields of free Dirac fermions are introduced, and explicit expressions of two-point Green functions of free Dirac fermions in single-layer graphene ribbons with zigzag and armchair edges are established.
Description: Advances in Natural Sciences: Nanoscience and Nanotechnology Volume 7, Issue 4, December 2016, Article number 045004
URI: http://iopscience.iop.org/article/10.1088/2043-6262/7/4/045004/meta
http://repository.vnu.edu.vn/handle/VNU_123/34085
ISSN: 20436262
Appears in Collections:Bài báo của ĐHQGHN trong Scopus

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