Interacting Twisted Bilayer Graphene with Systematic Modeling of Structural Relaxation
Fuente:
arXiv
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866915297456291840 |
|---|---|
| author | Kong, Tianyu Watson, Alexander B. Luskin, Mitchell Stubbs, Kevin D. |
| author_facet | Kong, Tianyu Watson, Alexander B. Luskin, Mitchell Stubbs, Kevin D. |
| contents | Twisted bilayer graphene (TBG) has drawn significant interest due to recent experiments which show that TBG can exhibit strongly correlated behavior such as the superconducting and correlated insulator phases. Much of the theoretical work on TBG has been based on analysis of the Bistritzer-MacDonald model which includes a phenomenological parameter to account for lattice relaxation. In this work, we use a newly developed continuum model which systematically accounts for the effects of structural relaxation. In particular, we model structural relaxation by coupling linear elasticity to a stacking energy that penalizes disregistry. We compare the impact of the two relaxation models on the corresponding many-body model by defining an interacting model projected to the flat bands. We perform tests at charge neutrality at both the Hartree-Fock and Coupled Cluster Singles and Doubles (CCSD) level of theory and find the systematic relaxation model gives quantitative differences from the simplified relaxation model. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_03479 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Interacting Twisted Bilayer Graphene with Systematic Modeling of Structural Relaxation Kong, Tianyu Watson, Alexander B. Luskin, Mitchell Stubbs, Kevin D. Mathematical Physics Mesoscale and Nanoscale Physics Strongly Correlated Electrons Numerical Analysis Analysis of PDEs Twisted bilayer graphene (TBG) has drawn significant interest due to recent experiments which show that TBG can exhibit strongly correlated behavior such as the superconducting and correlated insulator phases. Much of the theoretical work on TBG has been based on analysis of the Bistritzer-MacDonald model which includes a phenomenological parameter to account for lattice relaxation. In this work, we use a newly developed continuum model which systematically accounts for the effects of structural relaxation. In particular, we model structural relaxation by coupling linear elasticity to a stacking energy that penalizes disregistry. We compare the impact of the two relaxation models on the corresponding many-body model by defining an interacting model projected to the flat bands. We perform tests at charge neutrality at both the Hartree-Fock and Coupled Cluster Singles and Doubles (CCSD) level of theory and find the systematic relaxation model gives quantitative differences from the simplified relaxation model. |
| title | Interacting Twisted Bilayer Graphene with Systematic Modeling of Structural Relaxation |
| topic | Mathematical Physics Mesoscale and Nanoscale Physics Strongly Correlated Electrons Numerical Analysis Analysis of PDEs |
| url | https://arxiv.org/abs/2504.03479 |