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Study of temperature Green’s functions of graphene-like systems in a half-space. / D’yakonov, I. A.; Komarova, M. V.; Nalimov, M. Yu.

In: Theoretical and Mathematical Physics(Russian Federation), Vol. 190, No. 3, 01.03.2017, p. 366-377.

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

Harvard

D’yakonov, IA, Komarova, MV & Nalimov, MY 2017, 'Study of temperature Green’s functions of graphene-like systems in a half-space', Theoretical and Mathematical Physics(Russian Federation), vol. 190, no. 3, pp. 366-377. https://doi.org/10.1134/S0040577917030060

APA

D’yakonov, I. A., Komarova, M. V., & Nalimov, M. Y. (2017). Study of temperature Green’s functions of graphene-like systems in a half-space. Theoretical and Mathematical Physics(Russian Federation), 190(3), 366-377. https://doi.org/10.1134/S0040577917030060

Vancouver

D’yakonov IA, Komarova MV, Nalimov MY. Study of temperature Green’s functions of graphene-like systems in a half-space. Theoretical and Mathematical Physics(Russian Federation). 2017 Mar 1;190(3):366-377. https://doi.org/10.1134/S0040577917030060

Author

D’yakonov, I. A. ; Komarova, M. V. ; Nalimov, M. Yu. / Study of temperature Green’s functions of graphene-like systems in a half-space. In: Theoretical and Mathematical Physics(Russian Federation). 2017 ; Vol. 190, No. 3. pp. 366-377.

BibTeX

@article{2b000e3a5d594fa6b0eab927a211c912,
title = "Study of temperature Green{\textquoteright}s functions of graphene-like systems in a half-space",
abstract = "We consider the formalism of temperature Green{\textquoteright}s functions to study the electronic properties of a semiinfinite two-dimensional graphene lattice at a given temperature. Under most general assumptions about the graphene boundary structure, we calculate the propagator in the corresponding diagram technique. The obtained propagator survives limit transitions between physically different states of the system boundary, i.e., a zig-zag edge and a boundary condition in the “infinite mass” approximation, and also correctly describes the problem where the electron–hole symmetry is violated because of the presence of an external potential applied to the graphene boundary. We illustrate the use of the propagator, its analytic properties, and specific features of calculating with it in the example of determining the dependence of the electron density on the distance to the system boundary.",
keywords = "boundary condition, graphene, quantum field perturbation theory, temperature Green{\textquoteright}s function",
author = "D{\textquoteright}yakonov, {I. A.} and Komarova, {M. V.} and Nalimov, {M. Yu}",
year = "2017",
month = mar,
day = "1",
doi = "10.1134/S0040577917030060",
language = "English",
volume = "190",
pages = "366--377",
journal = "Theoretical and Mathematical Physics (Russian Federation)",
issn = "0040-5779",
publisher = "Springer Nature",
number = "3",

}

RIS

TY - JOUR

T1 - Study of temperature Green’s functions of graphene-like systems in a half-space

AU - D’yakonov, I. A.

AU - Komarova, M. V.

AU - Nalimov, M. Yu

PY - 2017/3/1

Y1 - 2017/3/1

N2 - We consider the formalism of temperature Green’s functions to study the electronic properties of a semiinfinite two-dimensional graphene lattice at a given temperature. Under most general assumptions about the graphene boundary structure, we calculate the propagator in the corresponding diagram technique. The obtained propagator survives limit transitions between physically different states of the system boundary, i.e., a zig-zag edge and a boundary condition in the “infinite mass” approximation, and also correctly describes the problem where the electron–hole symmetry is violated because of the presence of an external potential applied to the graphene boundary. We illustrate the use of the propagator, its analytic properties, and specific features of calculating with it in the example of determining the dependence of the electron density on the distance to the system boundary.

AB - We consider the formalism of temperature Green’s functions to study the electronic properties of a semiinfinite two-dimensional graphene lattice at a given temperature. Under most general assumptions about the graphene boundary structure, we calculate the propagator in the corresponding diagram technique. The obtained propagator survives limit transitions between physically different states of the system boundary, i.e., a zig-zag edge and a boundary condition in the “infinite mass” approximation, and also correctly describes the problem where the electron–hole symmetry is violated because of the presence of an external potential applied to the graphene boundary. We illustrate the use of the propagator, its analytic properties, and specific features of calculating with it in the example of determining the dependence of the electron density on the distance to the system boundary.

KW - boundary condition

KW - graphene

KW - quantum field perturbation theory

KW - temperature Green’s function

UR - http://www.scopus.com/inward/record.url?scp=85016745013&partnerID=8YFLogxK

U2 - 10.1134/S0040577917030060

DO - 10.1134/S0040577917030060

M3 - Article

AN - SCOPUS:85016745013

VL - 190

SP - 366

EP - 377

JO - Theoretical and Mathematical Physics (Russian Federation)

JF - Theoretical and Mathematical Physics (Russian Federation)

SN - 0040-5779

IS - 3

ER -

ID: 37034666