Microscopic theory of correlations in rhombohedral multilayer graphene

• Applicant: Dr. Ammon Fischer
• Subject Area: Theoretical Condensed Matter Physics
• Term: since 2025
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 572935092

The key objective of this project is to develop a generalized theory of electronic order in multilayer graphenes. To this end, I want to develop a methodological toolbox able to resolve the competition and collaboration of electronic order from down-folded ab-initio models. To conduct quantitative predictions on rhombohedral multilayer graphenes (RMGs), I want to facilitate the development of multi-orbital Wannier models that capture intricacies of the fermiology and quantum geometry of the low-energy degrees of freedom and derive a material-realistic (downfolded) description of electron-electron and electron-phonon couplings. The impact of electron-electron interactions is tackled with state-of-the-art many-body techniques including the functional renormalization group (FRG) and dynamical mean-field theory (DMFT) in order to quantitatively bridge to experimental measurements. Exploiting this holistic approach of all relevant degrees of freedom, I want to gain a microscopic understanding of RMGs and transcend these insights to twisted multilayer graphene to propel a general theory of correlations of moiré and non-moiré heterostructures.

• DFG Programme: WBP Fellowship
• International Connection: USA
• Host: Professor Dr. Andrew J. Millis