Kekulé valence bond order in an extended Hubbard model on the honeycomb lattice with possible applications to twisted bilayer graphene

Xu, Xiao Yan; Law, K. T.; Lee, Patrick A.

doi:10.1103/physrevb.98.121406

Title: Kekulé valence bond order in an extended Hubbard model on the honeycomb lattice with possible applications to twisted bilayer graphene

Journal Article · Thu Sep 13 00:00:00 EDT 2018 · Physical Review B

DOI:https://doi.org/10.1103/physrevb.98.121406· OSTI ID:1777862

Xu, Xiao Yan ^[1]; Law, K. T. ^[1]; Lee, Patrick A. ^[2]

Hong Kong Univ. of Science and Technology (China)
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

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. Here, 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.

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Research Organization:: Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES); HKRGC

Grant/Contract Number:: FG02-03ER46076; C6026-16W; 16324216; 16307117; FG 02-03ER46076

OSTI ID:: 1777862

Alternate ID(s):: OSTI ID: 1470585

Journal Information:: Physical Review B, Vol. 98, Issue 12; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 113 works

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