Weak Coupling Theory of Magic-Angle Twisted Bilayer Graphene

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.

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Cited by in corpus (7)

• Many-body perturbation theory for moiré systems
• Independently Tunable Flat Bands and Correlations in a Graphene Double Moiré System
• Competition of Exchange and Correlation Energies in Two-Dimensional $N$-component Electron Gas Ferromagnetism
• Orbital Magnetization of Correlated States in Twisted Bilayer Transition Metal Dichalcogenides
• Review of the tight-binding method applicable to the properties of moiré superlattices
• Flat-band projected versus fully atomistic twisted bilayer graphene
• General Many-Body Perturbation Framework for Moiré Systems