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On the Electron-Phonon Interactions in Graphene

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Low-Dimensional Functional Materials

Abstract

Chiral polaron formation arising from the electron-E2g phonon coupling and the mini band gap formation due to electron-A1g phonon coupling are investigated in pristine graphene. We present an analytical method to calculate the ground-state of the electron-phonon system within the framework of the Lee-Low-Pines theory. We show that the degenerate band structure of the graphene promotes the chiral polaron formation. Within our theoretical analysis, we also show that the interaction of charge carriers with the highest frequency zone-boundary phonon mode with A1g -symmetry induces a mini band gap at the corners of the two-dimensional Brillouin zone of the graphene.

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Authors and Affiliations

  1. Faculty of Sciences, Department of Physics, Ankara University, 06100, Tandoğan, Ankara, Turkey

    Bekir Kandemir

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  1. Bekir Kandemir
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Correspondence to Bekir Kandemir .

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Editors and Affiliations

  1. , Institut für Theoretische Physik IV, Heinrich-Heine-Universität, Universitätsstrasse 1, Düsseldorf, 40225, Germany

    Reinhold Egger

  2. Laboratory for Advanced Studies, Department of Energy, Turin Polytechnic University in Tashkent, Niyazov St. 17, Tashkent, 100174, Uzbekistan

    Davron Matrasulov

  3. , Department of Physics, National University of Uzbekistan, Niyazov St. 17, Tashkent, 100174, Uzbekistan

    Khamdam Rakhimov

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Kandemir, B. (2013). On the Electron-Phonon Interactions in Graphene. In: Egger, R., Matrasulov, D., Rakhimov, K. (eds) Low-Dimensional Functional Materials. NATO Science for Peace and Security Series B: Physics and Biophysics. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-6618-1_6

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