Kekulé valence bond order in an extended Hubbard model on the honeycomb lattice with possible applications to twisted bilayer graphene
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 X Y universality class.
- Publication:
-
Physical Review B
- Pub Date:
- September 2018
- DOI:
- 10.1103/PhysRevB.98.121406
- arXiv:
- arXiv:1805.00478
- Bibcode:
- 2018PhRvB..98l1406X
- Keywords:
-
- Condensed Matter - Strongly Correlated Electrons
- E-Print:
- 4+1 pages, 4 figures