Kekulé valence bond order in an extended Hubbard model on the honeycomb lattice with possible applications to twisted bilayer graphene
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 dri...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2018
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| Online Access: | http://hdl.handle.net/1721.1/117757 https://orcid.org/0000-0001-7809-8157 |
| _version_ | 1811082053074026496 |
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| author | Xu, Xiao Yan Law, K. T. Lee, Patrick A |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Xu, Xiao Yan Law, K. T. Lee, Patrick A |
| author_sort | Xu, Xiao Yan |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T11:56:41Z |
| format | Article |
| id | mit-1721.1/117757 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T11:56:41Z |
| publishDate | 2018 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/1177572022-10-01T07:10:30Z 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 Massachusetts Institute of Technology. Department of Physics Lee, Patrick A 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. United States. Department of Energy (Grant FG02-03ER46076) 2018-09-14T15:05:30Z 2018-09-14T15:05:30Z 2018-09 2018-05 2018-09-13T18:00:12Z Article http://purl.org/eprint/type/JournalArticle 2469-9950 2469-9969 http://hdl.handle.net/1721.1/117757 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 https://orcid.org/0000-0001-7809-8157 en http://dx.doi.org/10.1103/PhysRevB.98.121406 Physical Review B Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. American Physical Society application/pdf American Physical Society American Physical Society |
| spellingShingle | Xu, Xiao Yan Law, K. T. Lee, Patrick A Kekulé valence bond order in an extended Hubbard model on the honeycomb lattice with possible applications to twisted bilayer graphene |
| title | Kekulé valence bond order in an extended Hubbard model on the honeycomb lattice with possible applications to twisted bilayer graphene |
| title_full | Kekulé valence bond order in an extended Hubbard model on the honeycomb lattice with possible applications to twisted bilayer graphene |
| title_fullStr | Kekulé valence bond order in an extended Hubbard model on the honeycomb lattice with possible applications to twisted bilayer graphene |
| title_full_unstemmed | Kekulé valence bond order in an extended Hubbard model on the honeycomb lattice with possible applications to twisted bilayer graphene |
| title_short | Kekulé valence bond order in an extended Hubbard model on the honeycomb lattice with possible applications to twisted bilayer graphene |
| title_sort | kekule valence bond order in an extended hubbard model on the honeycomb lattice with possible applications to twisted bilayer graphene |
| url | http://hdl.handle.net/1721.1/117757 https://orcid.org/0000-0001-7809-8157 |
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