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Ab initio quantum embedding description of magic-angle twisted bilayer graphene at even-integer fillings

Raehyun Kim1,*, Woochang Kim2,3,*, Kevin D. Stubbs1,*, Steven G. Louie2,3, and Lin Lin1,4,†

  • *These authors contributed equally to this work.
  • †Contact author: linlin@math.berkeley.edu

Phys. Rev. B 114, 185131 – Published 28 September, 2026

DOI: https://doi.org/10.1103/mp1d-6nnl

Abstract

Magic-angle twisted bilayer graphene (MATBG) hosts narrow moiré bands with meV-scale dispersion and energy splittings, making its correlated phases sensitive to both material parameters and modeling choices in low-energy downfolding. We develop an ab initio quantum-embedding workflow that derives interacting flat-band Hamiltonians from Kohn-Sham density functional theory (KS-DFT) of a relaxed, unstrained structure. Our model combines constrained random phase approximation screening, controlled double-counting subtraction, and an automated gauge-fixing procedure based on the selected columns of the density matrix that is compatible with symmetry-resolved many-body calculations. Solving the resulting models using Hartree-Fock and coupled cluster singles and doubles, we recover robust insulating Kramers intervalley coherent states at charge neutrality (ν=0) and at electron doping (ν=+2). The main unique physical effect appears on the hole-doped side: At ν=−2, we observe a fragile semimetal with a weak 3×3 Kekulé modulation and enhanced intervalley-scattering peaks in the Fourier-transformed local density of states. Although the underlying KS-DFT band structure is nearly particle-hole symmetric, the effective interacting Hamiltonian exhibits a pronounced particle-hole asymmetry at ν=±2 that we trace to momentum-dependent single-particle renormalizations generated by subtraction terms constructed from reference densities consistent with the KS-DFT filling. Our work provides a first-principles route for connecting microscopic electronic structure, screened interactions, subtraction choices, and scanning tunneling microscopy signatures in MATBG.

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