Green functions in graphene monolayer with Coulomb interactions taken into account

M. V. Ulybyshev; M. A. Zubkov

doi:https://doi.org/10.1016/j.ssc.2012.12.030

Green functions in graphene monolayer with Coulomb interactions taken into account

Research output: Contribution to journal › Article › peer-review

Abstract

We consider the low energy effective field model of graphene monolayer. Coulomb interactions are taken into account. The model is simulated numerically using the lattice discretization with staggered fermions. The two point fermionic Green functions are calculated. We find that in the insulator phase these Green functions almost do not depend on energy. This indicates that the effective field model (in its insulator phase) does not correspond to the real graphene.

Original language	English
Pages (from-to)	55-59
Number of pages	5
Journal	Solid State Communications
Volume	159
DOIs	https://doi.org/10.1016/j.ssc.2012.12.030
State	Published - Apr 2013
Externally published	Yes

Keywords

A. Graphene
D. Insulator-semi-metal phase transition
D. Lattice simulations

All Science Journal Classification (ASJC) codes

General Chemistry
Condensed Matter Physics
Materials Chemistry

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https://doi.org/10.1016/j.ssc.2012.12.030

Cite this

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title = "Green functions in graphene monolayer with Coulomb interactions taken into account",

abstract = "We consider the low energy effective field model of graphene monolayer. Coulomb interactions are taken into account. The model is simulated numerically using the lattice discretization with staggered fermions. The two point fermionic Green functions are calculated. We find that in the insulator phase these Green functions almost do not depend on energy. This indicates that the effective field model (in its insulator phase) does not correspond to the real graphene.",

keywords = "A. Graphene, D. Insulator-semi-metal phase transition, D. Lattice simulations",

author = "Ulybyshev, {M. V.} and Zubkov, {M. A.}",

note = "Funding Information: The authors kindly acknowledge comments of M.I. Katsnelson, and a private communication with G.E. Volovik, as well as the discussions with the members of the lattice ITEP group M.I. Polikarpov, P.V. Buividovich, V.I. Zakharov, O.V. Pavlovsky. The numerical simulations have been performed using the facilities of the supercomputer centers of Moscow University, Kurchatov Institute, and ITEP. This work was partly supported by RFBR Grant 11-02-01227 and by the Russian Ministry of Science and Education (program “Human Capital” and the contract no. 07.514.12.4028 ).",

year = "2013",

month = apr,

doi = "https://doi.org/10.1016/j.ssc.2012.12.030",

language = "الإنجليزيّة",

volume = "159",

pages = "55--59",

journal = "Solid State Communications",

issn = "0038-1098",

publisher = "Elsevier Ltd.",

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TY - JOUR

T1 - Green functions in graphene monolayer with Coulomb interactions taken into account

AU - Ulybyshev, M. V.

AU - Zubkov, M. A.

N1 - Funding Information: The authors kindly acknowledge comments of M.I. Katsnelson, and a private communication with G.E. Volovik, as well as the discussions with the members of the lattice ITEP group M.I. Polikarpov, P.V. Buividovich, V.I. Zakharov, O.V. Pavlovsky. The numerical simulations have been performed using the facilities of the supercomputer centers of Moscow University, Kurchatov Institute, and ITEP. This work was partly supported by RFBR Grant 11-02-01227 and by the Russian Ministry of Science and Education (program “Human Capital” and the contract no. 07.514.12.4028 ).

PY - 2013/4

Y1 - 2013/4

N2 - We consider the low energy effective field model of graphene monolayer. Coulomb interactions are taken into account. The model is simulated numerically using the lattice discretization with staggered fermions. The two point fermionic Green functions are calculated. We find that in the insulator phase these Green functions almost do not depend on energy. This indicates that the effective field model (in its insulator phase) does not correspond to the real graphene.

AB - We consider the low energy effective field model of graphene monolayer. Coulomb interactions are taken into account. The model is simulated numerically using the lattice discretization with staggered fermions. The two point fermionic Green functions are calculated. We find that in the insulator phase these Green functions almost do not depend on energy. This indicates that the effective field model (in its insulator phase) does not correspond to the real graphene.

KW - A. Graphene

KW - D. Insulator-semi-metal phase transition

KW - D. Lattice simulations

UR - http://www.scopus.com/inward/record.url?scp=84875430791&partnerID=8YFLogxK

U2 - https://doi.org/10.1016/j.ssc.2012.12.030

DO - https://doi.org/10.1016/j.ssc.2012.12.030

M3 - مقالة

SN - 0038-1098

VL - 159

SP - 55

EP - 59

JO - Solid State Communications

JF - Solid State Communications

ER -

Green functions in graphene monolayer with Coulomb interactions taken into account

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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