Euler-Heisenberg effective action and magnetoelectric effect in multilayer graphene

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

doi: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

19 Scopus citations

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

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10.1016/j.aop.2012.12.010

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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). ",

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doi = "10.1016/j.aop.2012.12.010",

language = "אנגלית",

volume = "331",

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journal = "Annals of Physics",

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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

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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

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Keywords

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