Electronic structure of bilayer graphene : a real-space Green’s function study

In this paper, a real-space analytical expression for the free Green’s function (propagator) of bilayer graphene is derived based on the effective-mass approximation. Green’s function displays highly spatial anisotropy with threefold rotational symmetry. The calculated...

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Main Authors: Wang, Z. F., Li, Qunxiang, Su, Haibin, Wang, Xiaoping, Shi, Q. W., Chen, Jie, Yang, Jinlong, Hou, J. G.
Other Authors: School of Materials Science & Engineering
Format: Article
Language:English
Published: 2011
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Online Access:https://hdl.handle.net/10356/92051
http://hdl.handle.net/10220/6915
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-920512023-07-14T15:57:43Z Electronic structure of bilayer graphene : a real-space Green’s function study Wang, Z. F. Li, Qunxiang Su, Haibin Wang, Xiaoping Shi, Q. W. Chen, Jie Yang, Jinlong Hou, J. G. School of Materials Science & Engineering DRNTU::Engineering::Materials::Nanostructured materials In this paper, a real-space analytical expression for the free Green’s function (propagator) of bilayer graphene is derived based on the effective-mass approximation. Green’s function displays highly spatial anisotropy with threefold rotational symmetry. The calculated local density of states (LDOS) of a perfect bilayer graphene produces the main features of the observed scanning tunneling microscopy (STM) images of graphite at low bias voltage. Some predicted features of the LDOS can be verified by STM measurements. In addition, we also calculate the LDOS of bilayer graphene with vacancies by using the multiple-scattering theory (scatterings are localized around the vacancy of bilayer graphene). We observe that the interference patterns are determined mainly by the intrinsic properties of the propagator and the symmetry of the vacancies. Published version 2011-07-19T00:43:35Z 2019-12-06T18:16:31Z 2011-07-19T00:43:35Z 2019-12-06T18:16:31Z 2007 2007 Journal Article Wang, Z. F., Li, Q., Su, H., Wang, X., Shi, Q. W., Chen, J., et al. (2007). Electronic structure of bilayer graphene: a real-space Green’s function study. Physical Review B, 75. https://hdl.handle.net/10356/92051 http://hdl.handle.net/10220/6915 10.1103/PhysRevB.75.085424 en Physical review B © 2007 American Physical Society. This paper was published in Physical Review B and is made available as an electronic reprint (preprint) with permission of American Physical Society. The paper can be found at: [DOI: http://dx.doi.org/10.1103/PhysRevB.75.085424]. One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper is prohibited and is subject to penalties under law. 8 p. application/pdf
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic DRNTU::Engineering::Materials::Nanostructured materials
spellingShingle DRNTU::Engineering::Materials::Nanostructured materials
Wang, Z. F.
Li, Qunxiang
Su, Haibin
Wang, Xiaoping
Shi, Q. W.
Chen, Jie
Yang, Jinlong
Hou, J. G.
Electronic structure of bilayer graphene : a real-space Green’s function study
description In this paper, a real-space analytical expression for the free Green’s function (propagator) of bilayer graphene is derived based on the effective-mass approximation. Green’s function displays highly spatial anisotropy with threefold rotational symmetry. The calculated local density of states (LDOS) of a perfect bilayer graphene produces the main features of the observed scanning tunneling microscopy (STM) images of graphite at low bias voltage. Some predicted features of the LDOS can be verified by STM measurements. In addition, we also calculate the LDOS of bilayer graphene with vacancies by using the multiple-scattering theory (scatterings are localized around the vacancy of bilayer graphene). We observe that the interference patterns are determined mainly by the intrinsic properties of the propagator and the symmetry of the vacancies.
author2 School of Materials Science & Engineering
author_facet School of Materials Science & Engineering
Wang, Z. F.
Li, Qunxiang
Su, Haibin
Wang, Xiaoping
Shi, Q. W.
Chen, Jie
Yang, Jinlong
Hou, J. G.
format Article
author Wang, Z. F.
Li, Qunxiang
Su, Haibin
Wang, Xiaoping
Shi, Q. W.
Chen, Jie
Yang, Jinlong
Hou, J. G.
author_sort Wang, Z. F.
title Electronic structure of bilayer graphene : a real-space Green’s function study
title_short Electronic structure of bilayer graphene : a real-space Green’s function study
title_full Electronic structure of bilayer graphene : a real-space Green’s function study
title_fullStr Electronic structure of bilayer graphene : a real-space Green’s function study
title_full_unstemmed Electronic structure of bilayer graphene : a real-space Green’s function study
title_sort electronic structure of bilayer graphene : a real-space green’s function study
publishDate 2011
url https://hdl.handle.net/10356/92051
http://hdl.handle.net/10220/6915
_version_ 1773551331690151936