Weak Coupling Theory of Magic-Angle Twisted Bilayer Graphene
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866913549385728000 |
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| author | Zhu, Jihang Torre, Iacopo Polini, Marco MacDonald, Allan H. |
| author_facet | Zhu, Jihang Torre, Iacopo Polini, Marco MacDonald, Allan H. |
| contents | Strong correlations occur in magic-angle twisted bilayer graphene (MATBG) when the octet of flat moiré minibands centered on charge neutrality (CN) is partially occupied. The octet consists of a single valence band and a single conduction band for each of four degenerate spin-valley flavors. Motivated by the importance of Hartree electrostatic interactions in determining the filling-factor dependent band structure, we use a time-dependent Hartree approximation to gain insight into electronic correlations. We find that the electronic compressibility is dominated by Hartree interactions, that paramagnetic states are stable over a range of density near CN, and that the dependence of energy on flavor polarization is strongly overestimated by mean-field theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_02872 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Weak Coupling Theory of Magic-Angle Twisted Bilayer Graphene Zhu, Jihang Torre, Iacopo Polini, Marco MacDonald, Allan H. Strongly Correlated Electrons Strong correlations occur in magic-angle twisted bilayer graphene (MATBG) when the octet of flat moiré minibands centered on charge neutrality (CN) is partially occupied. The octet consists of a single valence band and a single conduction band for each of four degenerate spin-valley flavors. Motivated by the importance of Hartree electrostatic interactions in determining the filling-factor dependent band structure, we use a time-dependent Hartree approximation to gain insight into electronic correlations. We find that the electronic compressibility is dominated by Hartree interactions, that paramagnetic states are stable over a range of density near CN, and that the dependence of energy on flavor polarization is strongly overestimated by mean-field theory. |
| title | Weak Coupling Theory of Magic-Angle Twisted Bilayer Graphene |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2401.02872 |