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

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Vafek, Oskar, Yang, Kun·2010·Physical Review B

Abstract

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.

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Metadata

Authors
Vafek, O., & Yang, K.
Venue
Physical Review B
Published
2010-01-04
Volume
81
Issue
4
ISSN
  • 1098-0121 (ISSN-L)
  • 1550-235X
OpenAlex
W1520383466
Cited by
271
References
3
FWCI
18.69
Type
journal article
Language
en
Open access
green

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CoChat. (2026). Citation check: Many-body instability of Coulomb interacting bilayer graphene: Renormalization group approach. https://app.cochat.ai/papers/10.1103/physrevb.81.041401
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Vafek, O., & Yang, K. (2010). Many-body instability of Coulomb interacting bilayer graphene: Renormalization group approach. Physical Review B. https://doi.org/10.1103/physrevb.81.041401

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