Power law Kohn anomaly in undoped graphene induced by Coulomb interactions

Details Power law Kohn anomaly in undoped graphene induced by Coulomb interactions Power law Kohn anomaly in undoped graphene induced by Coulomb interactions

2011-09-29

arxiv.org/abs/1109.6375v2

Physics

Condensed Matter

Strongly Correlated Electrons

Some sections enlarged, new plot added

Scientific paper

10.1103/PhysRevB.85.085441

Phonon dispersions generically display non-analytic points, known as Kohn anomalies, due to electron-phonon interactions. We analyze this phenomenon for a zone boundary phonon in undoped graphene. When electron-electron interactions with coupling constant $\beta$ are taken into account, one observes behavior demonstrating that the electrons are in a critical phase: the phonon dispersion and lifetime develop power law behavior with $\beta$ dependent exponents. The observation of this signature would allow experimental access to the critical properties of the electron state, and would provide a measure of its proximity to an excitonic insulating phase.

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