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arXiv · 0906.2483

Many-body instability of Coulomb interacting bilayer graphene: RG approach

Oskar Vafek·Kun Yang
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Abstract

Low-energy electronic structure of (unbiased) bilayer graphene is made of two Fermi points with quadratic dispersions, if trigonal-warping and other high order contributions are ignored. We show that as a result of this qualitative difference from single-layer graphene, short-range (or screened Coulomb) interactions are marginally relevant. We use renormalization group to study their effects on low-energy properties of the system, and show that the two quadratic Fermi points spontaneously split into four Dirac points, at zero temperature. This results in a nematic state that spontaneously breaks the six-fold lattice rotation symmetry (combined with layer permutation) down to a two-fold one, with a finite transition temperature. Critical properties of the transition and effects of trigonal warping are also discussed.

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Oskar Vafek, Kun Yang. 2009-06-13. Many-body instability of Coulomb interacting bilayer graphene: RG approach. https://doi.org/10.1103/physrevb.81.041401

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