Euler-Heisenberg effective action and magnetoelectric effect in multilayer graphene

M. I. Katsnelson; G. E. Volovik; M. A. Zubkov

doi:https://doi.org/10.1016/j.aop.2012.12.010

Euler-Heisenberg effective action and magnetoelectric effect in multilayer graphene

M. I. Katsnelson, G. E. Volovik, M. A. Zubkov

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

Abstract

The low energy effective field model for the multilayer graphene (at ABC stacking) is considered. We calculate the effective action in the presence of constant external magnetic field B (normal to the graphene sheet). We also calculate the first two corrections to this effective action caused by the in-plane electric field E at E/B≪1 and discuss the magnetoelectric effect. In addition, we calculate the imaginary part of the effective action in the presence of constant electric field E and the lowest order correction to it due to the magnetic field (B/E≪1).

Original language	English
Pages (from-to)	160-187
Number of pages	28
Journal	Annals of Physics
Volume	331
DOIs	https://doi.org/10.1016/j.aop.2012.12.010
State	Published - Apr 2013
Externally published	Yes

Keywords

Anisotropic field theory
Dirac fermions
Graphene
Magnetoelectric effect
Schwinger effect
Zeta-function regularization

All Science Journal Classification (ASJC) codes

General Physics and Astronomy

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https://doi.org/10.1016/j.aop.2012.12.010

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@article{10aeba8d2d8241c2aaa4d634b91d523b,

title = "Euler-Heisenberg effective action and magnetoelectric effect in multilayer graphene",

abstract = "The low energy effective field model for the multilayer graphene (at ABC stacking) is considered. We calculate the effective action in the presence of constant external magnetic field B (normal to the graphene sheet). We also calculate the first two corrections to this effective action caused by the in-plane electric field E at E/B≪1 and discuss the magnetoelectric effect. In addition, we calculate the imaginary part of the effective action in the presence of constant electric field E and the lowest order correction to it due to the magnetic field (B/E≪1).",

keywords = "Anisotropic field theory, Dirac fermions, Graphene, Magnetoelectric effect, Schwinger effect, Zeta-function regularization",

author = "Katsnelson, {M. I.} and Volovik, {G. E.} and Zubkov, {M. A.}",

note = "Funding Information: This work was partly supported by RFBR grant 11-02-01227 , Grant for Leading Scientific Schools 6260.2010.2, the Federal Special-Purpose Programme {\textquoteleft}Cadres{\textquoteright} of the Russian Ministry of Science and Education, and Federal Special-Purpose Programme 07.514.12.4028. MIK acknowledges financial support by FOM (the Netherlands) . GEV acknowledges financial support of the Academy of Finland and its COE program, and the EU FP7 program (#228464 Microkelvin).",

year = "2013",

month = apr,

doi = "https://doi.org/10.1016/j.aop.2012.12.010",

language = "الإنجليزيّة",

volume = "331",

pages = "160--187",

journal = "Annals of Physics",

issn = "0003-4916",

publisher = "Academic Press Inc.",

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TY - JOUR

T1 - Euler-Heisenberg effective action and magnetoelectric effect in multilayer graphene

AU - Katsnelson, M. I.

AU - Volovik, G. E.

AU - Zubkov, M. A.

N1 - Funding Information: This work was partly supported by RFBR grant 11-02-01227 , Grant for Leading Scientific Schools 6260.2010.2, the Federal Special-Purpose Programme ‘Cadres’ of the Russian Ministry of Science and Education, and Federal Special-Purpose Programme 07.514.12.4028. MIK acknowledges financial support by FOM (the Netherlands) . GEV acknowledges financial support of the Academy of Finland and its COE program, and the EU FP7 program (#228464 Microkelvin).

PY - 2013/4

Y1 - 2013/4

N2 - The low energy effective field model for the multilayer graphene (at ABC stacking) is considered. We calculate the effective action in the presence of constant external magnetic field B (normal to the graphene sheet). We also calculate the first two corrections to this effective action caused by the in-plane electric field E at E/B≪1 and discuss the magnetoelectric effect. In addition, we calculate the imaginary part of the effective action in the presence of constant electric field E and the lowest order correction to it due to the magnetic field (B/E≪1).

AB - The low energy effective field model for the multilayer graphene (at ABC stacking) is considered. We calculate the effective action in the presence of constant external magnetic field B (normal to the graphene sheet). We also calculate the first two corrections to this effective action caused by the in-plane electric field E at E/B≪1 and discuss the magnetoelectric effect. In addition, we calculate the imaginary part of the effective action in the presence of constant electric field E and the lowest order correction to it due to the magnetic field (B/E≪1).

KW - Anisotropic field theory

KW - Dirac fermions

KW - Graphene

KW - Magnetoelectric effect

KW - Schwinger effect

KW - Zeta-function regularization

UR - http://www.scopus.com/inward/record.url?scp=84873187547&partnerID=8YFLogxK

U2 - https://doi.org/10.1016/j.aop.2012.12.010

DO - https://doi.org/10.1016/j.aop.2012.12.010

M3 - مقالة

SN - 0003-4916

VL - 331

SP - 160

EP - 187

JO - Annals of Physics

JF - Annals of Physics

ER -

Euler-Heisenberg effective action and magnetoelectric effect in multilayer graphene

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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