Green functions in graphene monolayer with Coulomb interactions taken into account

M. V. Ulybyshev; M. A. Zubkov

doi:10.1016/j.ssc.2012.12.030

Green functions in graphene monolayer with Coulomb interactions taken into account

M. V. Ulybyshev
, M. A. Zubkov

פרסום מחקרי: פרסום בכתב עת › מאמר › ביקורת עמיתים

3 ציטוטים ‏(Scopus)

תקציר

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.

שפה מקורית	אנגלית
עמודים (מ-עד)	55-59
מספר עמודים	5
כתב עת	Solid State Communications
כרך	159
מזהי עצם דיגיטלי (DOIs)	https://doi.org/10.1016/j.ssc.2012.12.030
סטטוס פרסום	פורסם - אפר׳ 2013
פורסם באופן חיצוני	כן

גישה למסמך

10.1016/j.ssc.2012.12.030

קבצים וקישורים אחרים

Link to publication in Scopus

פורמט ציטוט ביבליוגרפי

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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 = "10.1016/j.ssc.2012.12.030",

language = "אנגלית",

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 - https://www.scopus.com/pages/publications/84875430791

U2 - 10.1016/j.ssc.2012.12.030

DO - 10.1016/j.ssc.2012.12.030

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AN - SCOPUS:84875430791

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

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