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Magnetic ordering in moiré graphene multilayers from a continuum Hartree+Uapproach.

Christopher T S Cheung1, Valerio Vitale1,2,3, Lennart Klebl4

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Researchers developed a new continuum model to study magnetic order in twisted multilayer graphene. This model accurately captures atomistic details, enabling a comprehensive analysis of magnetic phase diagrams for twisted bilayer and trilayer graphene near magic angles.

Keywords:
atomisticcontinuummagnetismtwisted bilayer graphene

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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Quantum Materials

Background:

  • Symmetry-broken ground states, including magnetic order, are observed in twisted bilayer graphene (tBLG) and twisted trilayer graphene (tTLG) near magic angles.
  • Existing methods for studying magnetic order in these systems have limitations: atomistic methods are computationally expensive, and continuum approaches lack atomistic detail.

Purpose of the Study:

  • To develop a novel continuum model that incorporates short-ranged Hubbard and long-ranged Coulomb interactions for self-consistent magnetic order studies.
  • To systematically analyze the magnetic phase diagram of tBLG and tTLG as a function of doping and twist angle near magic angles.

Main Methods:

  • Developed a continuum model integrating short-ranged Hubbard interactions self-consistently.
  • Included long-ranged Coulomb interactions crucial for doped flat bands in tBLG and tTLG.
  • Performed a systematic analysis of magnetic phase diagrams for tBLG and tTLG.

Main Results:

  • Successfully explored magnetic order in moiré graphene multilayers using a continuum model with atomistic detail for the first time.
  • Results for tBLG magnetic phase diagrams are consistent with previous perturbative atomistic calculations.
  • Magnetic order in tTLG was found to be similar to that in tBLG.

Conclusions:

  • The developed continuum model provides a powerful tool for investigating magnetic ordering tendencies in moiré graphene multilayers.
  • Future research can utilize this model to explore the effects of doping, twist angle, and screening on magnetic order in various moiré systems.