Weak-coupling theory of magic-angle twisted bilayer graphene

Zhu, Jihang; Torre, Iacopo; Polini, Marco; MacDonald, A. H.

doi:10.1103/PhysRevB.110.L121117

Title: Weak-coupling theory of magic-angle twisted bilayer graphene

Journal Article · 20 September 2024 · Physical Review. B

DOI: https://doi.org/10.1103/PhysRevB.110.L121117 · OSTI ID:2447552

;

; Polini, Marco;

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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Sponsoring Organization:: USDOE

Grant/Contract Number:: SC0019481

OSTI ID:: 2447552

Journal Information:: Physical Review. B, Journal Name: Physical Review. B Journal Issue: 12 Vol. 110; ISSN 2469-9950; ISSN PRBMDO

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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