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Particles 2019, 2(2), 208-230; https://doi.org/10.3390/particles2020015

Nonperturbative Kinetic Description of Electron-Hole Excitations in Graphene in a Time Dependent Electric Field of Arbitrary Polarization

1
Saratov State University, Saratov 410026, Russia
2
Department of Physics, Tomsk State University, Tomsk 634050, Russia
3
Institute of Theoretical Physics, University of Wrocław, 50-204 Wrocław, Poland
4
Bogoliubov Laboratory for Theoretical Physics, JINR Dubna, Dubna 141980, Russia
5
Peoples’ Friendship University of Russia (RUDN University), Moscow 117198, Russia
6
Russian-Armenian University, Yerevan 0051, Armenia
*
Author to whom correspondence should be addressed.
Received: 16 December 2018 / Revised: 31 March 2019 / Accepted: 9 April 2019 / Published: 16 April 2019
(This article belongs to the Special Issue Nonequilibrium Phenomena in Strongly Correlated Systems)
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Abstract

On the basis of the well-known kinetic description of e e + vacuum pair creation in strong electromagnetic fields in D = 3 + 1 QED we construct a nonperturbative kinetic approach to electron-hole excitations in graphene under the action of strong, time-dependent electric fields. We start from the simplest model of low-energy excitations around the Dirac points in the Brillouin zone. The corresponding kinetic equations are analyzed by nonperturbative analytical and numerical methods that allow to avoid difficulties characteristic for the perturbation theory. We consider different models for external fields acting in both, one and two dimensions. In the latter case we discuss the nonlinear interaction of the orthogonal currents in graphene which plays the role of an active nonlinear medium. In particular, this allows to govern the current in one direction by means of the electric field acting in the orthogonal direction. Investigating the polarization current we detected the existence of high frequency damped oscillations in a constant external electric field. When the electric field is abruptly turned off residual inertial oscillations of the polarization current are obtained. Further nonlinear effects are discussed. View Full-Text
Keywords: graphene; dynamic critical phenomena; high-field and nonlinear effects graphene; dynamic critical phenomena; high-field and nonlinear effects
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Smolyansky, S.A.; Panferov, A.D.; Blaschke, D.B.; Gevorgyan, N.T. Nonperturbative Kinetic Description of Electron-Hole Excitations in Graphene in a Time Dependent Electric Field of Arbitrary Polarization. Particles 2019, 2, 208-230.

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