Symmetry based analysis of the Kohn anomaly and electron-phonon interaction in graphene and carbon nanotubes

Milosevic I, Kepcija N, Dobardzic E, Mohr M, Maultzsch J, Thomsen C, Damnjanovic M (2010)


Publication Status: Published

Publication Type: Journal article

Publication year: 2010

Journal

Publisher: AMER PHYSICAL SOC

Book Volume: 81

Journal Issue: 23

DOI: 10.1103/PhysRevB.81.233410

Abstract

Symmetry based analysis of the electron-phonon coupling in graphene and carbon nanotubes is performed and Kohn anomalies, their Brillouin-zone positions together with the complete set of good quantum numbers are predicted. Interestingly, graphene dynamical representation is found to contain only a small portion of quite a large set of inequivalent irreducible representations of the relevant full symmetry group. Besides, vanishing of the electron-phonon interaction for majority of the normal displacements is also shown to be a consequence of the symmetry. The results are further numerically confirmed within full and tight-binding density-functional calculations and force constants model and enhanced coupling to the Fermi level electrons of the Dirac point A(1g) mode with respect to the Gamma point E(2g) mode is confirmed. Finally, energy dispersion of the kink phonon spectrum is analytically evaluated and compared to the classical phonon spectrum.

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APA:

Milosevic, I., Kepcija, N., Dobardzic, E., Mohr, M., Maultzsch, J., Thomsen, C., & Damnjanovic, M. (2010). Symmetry based analysis of the Kohn anomaly and electron-phonon interaction in graphene and carbon nanotubes. Physical Review B, 81(23). https://dx.doi.org/10.1103/PhysRevB.81.233410

MLA:

Milosevic, Ivanka, et al. "Symmetry based analysis of the Kohn anomaly and electron-phonon interaction in graphene and carbon nanotubes." Physical Review B 81.23 (2010).

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