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A self-consistent Hartree theory for lattice-relaxed magic-angle twisted bilayer graphene

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arxiv 2404.17638 v1 pith:37EYAD4C submitted 2024-04-26 cond-mat.str-el cond-mat.mes-hall

Mohammed M. Al Ezzi , Liangtao Peng , Zhengyu Liu , Jonah Huang Zi Chao , Gayani N. Pallewela , Darryl Foo , Shaffique Adam This is my paper · ORCID
classification cond-mat.str-elcond-mat.mes-hall
keywords anglebandbilayereffectsfermigraphenehartreemagic
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abstract

For twisted bilayer graphene close to magic angle, we show that the effects of lattice relaxation and the Hartree interaction both become simultaneously important. Including both effects in a continuum theory reveals a Lifshitz transition to a Fermi surface topology that supports both a ``heavy fermion" pocket and an ultraflat band ($\approx 8~{\rm meV}$) that is pinned to the Fermi energy for a large range of fillings. We provide analytical and numerical results to understand the narrow ``magic angle range" that supports this pinned ultraflat band and make predictions for its experimental observation. We believe that the bands presented here are accurate at high temperature and provide a good starting point to understand the myriad of complex behaviour observed in this system.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. The Interacting Energy Bands of Magic Angle Twisted Bilayer Graphene Revealed by the Quantum Twisting Microscope

    cond-mat.mes-hall 2025-06 conditional novelty 7.0 of 10

    A direct momentum-resolved image of the interacting bands of magic-angle twisted bilayer graphene reveals flat heavy-electron regions and dispersive light-electron regions that evolve with doping.

  2. Straintronics and twistronics in bilayer graphene

    cond-mat.mes-hall 2026-02 conditional novelty 6.0 of 10

    Strain shifts the angle of flattest bands, broadens flat bands roughly linearly, and can switch their valley topology from ±1 to 0, with shear strain acting more strongly than uniaxial.

  3. Many-body perturbation theory for moir\'{e} systems

    cond-mat.str-el 2025-02 conditional novelty 6.0 of 10

    A Green's function perturbation theory in the band basis gives analytical Hartree-Fock ground states for twisted bilayer graphene and shows self-consistent GW corrections reduce compressibility oscillations.

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