Interaction-Induced Dirac Fermions from Quadratic Band Touching in Bilayer Graphene

Sumiran Pujari, Thomas C. Lang, Ganpathy Murthy, Ribhu K. Kaul

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53 Scopus citations


We revisit the effect of local interactions on the quadratic band touching (QBT) of the Bernal honeycomb bilayer model using renormalization group (RG) arguments and quantum Monte Carlo (QMC) simulations. We present a RG argument which predicts, contrary to previous studies, that weak interactions do not flow to strong coupling even if the free dispersion has a QBT. Instead, they generate a linear term in the dispersion, which causes the interactions to flow back to weak coupling. Consistent with this RG scenario, in unbiased QMC simulations of the Hubbard model we find compelling evidence that antiferromagnetism turns on at a finite U/t despite the U=0 hopping problem having a QBT. The onset of antiferromagnetism takes place at a continuous transition which is consistent with (2+1)D Gross-Neveu criticality. We conclude that generically in models of bilayer graphene, even if the free dispersion has a QBT, small local interactions generate a Dirac phase with no symmetry breaking and that there is a finite-coupling transition out of this phase to a symmetry-broken state.

Original languageEnglish
Article number086404
JournalPhysical Review Letters
Issue number8
StatePublished - Aug 19 2016

Bibliographical note

Publisher Copyright:
© 2016 American Physical Society.

ASJC Scopus subject areas

  • General Physics and Astronomy


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