Electron States and Quasienergy Spectrum of the Graphene Exposed to the Electromagnetic Wave

Authors	S.V. Kryuchkov¹^,² , E.I. Kukhar’¹ , O.S. Nikitina¹
Affiliations	¹ Volgograd State Socio-Pedagogical University, Physical Laboratory of Low-Dimensional Systems, V.I. Lenin Avenue, 27, Volgograd 400005 Russia ² Volgograd State Technical University, V.I. Lenin Avenue, 28, Volgograd 400005 Russia
Е-mail	svkruchkov@yandex.ru, eikuhar@yandex.ru, lga52007@rambler.ru
Issue	Volume 5, Year 2013, Number 3
Dates	Received 03 April 2013; revised manuscript received 01 July 2013; published online 12 July 2013
Citation	S.V. Kryuchkov, E.I. Kukhar’, O.S. Nikitina, J. Nano- Electron. Phys. 5 No 3, 03005 (2013)
DOI
PACS Number(s)	72.80.Vp, 73.50.Fq, 73.50.Mx
Keywords	Graphene (23) , Dirac equation (2) , Quasienergy, Parametric resonance.
Annotation	The effective spectrum and wave functions of electron states in graphene under the electromagnetic wave with circular polarization are found. The band gap in the graphene spectrum induced by the electromagnetic wave is calculated. Occurrence of such gap is shown to have the nature of the parametric resonance. The effective energy of the electron state in graphene is proved to be the energy averaged over the period of the electromagnetic wave.
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