Ising instability of a Holstein phonon mode in graphene

Physics – Condensed Matter – Materials Science

Scientific paper

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5 pages, 2 figures

Scientific paper

10.1103/PhysRevB.84.073407

We study the thermal distribution of phonons in a graphene sheet. Due to the two electronic bands there are two out-of-plane phonon modes with respect to the two sublattices. One of these modes undergoes an Ising transition by spontaneously breaking the sublattice symmetry. We calculate the critical point, the renormalization of the phonon frequency and the average lattice distortion. This transition might be observable in Raman scattering and in transport properties.

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