Many-body instability of Coulomb interacting bilayer graphene: Renormalization group approach

By O. Vafek, Kun Yang. 2009

151 citations recorded by the source corpus.

Low-energy electronic structure of (unbiased and undoped) bilayer graphene consists of two Fermi points with quadratic dispersions if trigonal warping is ignored. We show that short-range (or screened Coulomb) interactions are marginally relevant and use renormalization group to study their effects on low-energy properties of the system. We find that the two quadratic Fermi points spontaneously split into four Dirac points. This results in a nematic state that spontaneously breaks the sixfold lattice rotation symmetry (combined with layer permutation) down to a twofold one, with a finite transition temperature. Critical properties of the transition and effects of trigonal warping are also discussed.

Subfields: Atomic and Molecular Physics, and Optics, Materials Chemistry

View Paper: https://www.semanticscholar.org/paper/4981a9ef78250a3c793f36f603f9790383509ac5

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

1. Franco Nori
2. A. Rozhkov
3. A. Rakhmanov
4. A. O. Sboychakov
5. M. Koshino
6. E. McCann
7. Wenzhong Bao
8. C. N. Lau

In Materials Chemistry

1. Franco Nori
2. A. Rozhkov
3. A. O. Sboychakov
4. A. Rakhmanov
5. M. Koshino
6. E. McCann
7. C. N. Lau
8. Wenzhong Bao

Citations in the corpus

• The Hubbard Model (2021, methodology): “equations have similar form as in one dimension(4) (53, 54).”
• Stacking-dependent band gap and quantum transport in trilayer graphene (2011, background): “For instance, a band gap may occur if spatial inversion symmetry is broken by strain or an external electric field, or if electronic interactions cause spontaneous symmetry breaking such as those predicte”
• Electronic properties of graphene-based bilayer systems (2015, methodology): “mentioned as a possibility in Refs. [289,290]. 10.2.4. Nematic phase A completely dierent way to eliminate the nite density of states at the Fermi energy was proposed by O. Vafek and K. Yang in Ref. [309]. This paper used a perturbative renormalization group approach, which was applied to a two-band”
• Chiral superconductivity from repulsive interactions in doped graphene (2011, background): “Introduction to Unconventional Superconductivity, Gordon and Breach Science Publishers, (1998), p69 [34] Vafek, O.”