Weak-coupling theory of magic-angle twisted bilayer graphene

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. Published by the American Physical Society 2024

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Publication Details

Journal
Physical review. B./Physical review. B
Published
2024-09-20
DOI
https://doi.org/10.1103/physrevb.110.l121117
Citations
9
Primary Topic
Graphene research and applications
Type
article
Field-Weighted Citation Impact
1.05

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article

Weak-coupling theory of magic-angle twisted bilayer graphene

Marco Polini, Iacopo Torre, Allan H. MacDonald, Jihang Zhu
9 citations
Physical review. B./Physical review. B
Graphene research and applications
1.05
article

Weak-coupling theory of magic-angle twisted bilayer graphene

Marco Polini, Iacopo Torre, Allan H. MacDonald, Jihang Zhu
article en
9 citations

Abstract

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. Published by the American Physical Society 2024

Physical review. B./Physical review. BVol. 110(12)
University of Pisa (IT), Italian Institute of Technology (IT), Max Planck Institute for the Physics of Complex Systems (DE), Barcelona Institute of Science and Technology (ES), Joint Quantum Institute (US), Institute of Science and Technology, University of Maryland, College Park (US), The University of Texas at Austin (US)
U.S. Department of Energy, University of Texas at Austin, Ministero dell'Università e della Ricerca, Office of Science, Horizon 2020 Framework Programme, Basic Energy Sciences, HORIZON EUROPE Marie Sklodowska-Curie Actions
Affordable and clean energy
Openalex Percentile: Top 20%
Graphene research and applications
1.05
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Weak-coupling theory of magic-angle twisted bilayer graphene — Marco Polini, Iacopo Torre, et al. · Physical review. B./Physical review. B (2024) | TGRS Research Map | TGRS