Kekulé valence bond order in an extended Hubbard model on the honeycomb lattice with possible applications to twisted bilayer graphene
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PhysRevB.98.121406.pdf
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Author(s) • •
Xu, Xiao Yan
Law, K. T.
Lee, Patrick A
Date Issued
September 2018
Journal
Physical Review B
Publisher
American Physical Society
Citation
Xu, Xiao Yan et al. "Kekulé valence bond order in an extended Hubbard model on the honeycomb lattice with possible applications to twisted bilayer graphene." Physical Review B 98, 12 (September 2018): 121406(R) © 2018 American Physical Society
Version
Final published version
Abstract
Using large-scale quantum Monte Carlo simulations, we exactly solve a model of fermions hopping on the honeycomb lattice with cluster charge interactions, which has been proposed as an effective model with possible application to twisted bilayer graphene near half-filling. We find an interaction driven semimetal to insulator transition to an insulating phase consisting of a valence bond solid with Kekulé pattern. Finite size scaling reveals that the phase transition of the semimetal to Kekulé valence bond solid phase is continuous and belongs to chiral XY universality class.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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DOI of Published Version
https://doi.org/10.1103/PhysRevB.98.121406