Frequency splitting of intervalley phonons in graphene

Details Frequency splitting of intervalley phonons in graphene Frequency splitting of intervalley phonons in graphene

2010-12-14

arxiv.org/abs/1012.3162v1

EPL 95, 36003 (2011)

Physics

Condensed Matter

Materials Science

5 pages, 1 figure

Scientific paper

10.1209/0295-5075/95/36003

We study the thermal distribution of intervalley phonons in a graphene sheet. These phonons have two components with the same frequency. The degeneracy of the two modes is preserved by weak electron-phonon coupling. A sufficiently strong electron-phonon coupling, however, can result in a splitting into an optical and an acoustic phonon branch, which creates a fluctuating gap in the electronic spectrum. We describe these effects by treating the phonon distribution within a saddle-point approximation. Fluctuations around the saddle point indicate a Berezinskii-Kosterlitz-Thouless transition of the acoustic branch. This transition might be observable in the polarization of Raman scattered light.

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