Interlocking magnetic motifs and fragile correlations in honeycomb moiré

Transition metal dichalcogenide (TMD) devices have emerged as powerful quantum simulators for exploring strongly correlated electron phenomena. A wide variety of exotic electronic phases have been realized, including generalized Wigner crystals, kinetic magnetism, fractional Chern insulators, and unconventional superconductivity. Recently, systems exhibiting honeycomb symmetry have attracted particular interest, as the interplay between geometric frustration and strong electronic interactions can give rise to novel correlated quantum states.

We employ Density Functional Theory (DFT) and correlated many-body methods, such as Neural Quantum State (NQS), to study electronic states in a fractionally filled honeycomb moiré potential and found many competing anti-ferromagnetic states. Our calculations reveal several competing antiferromagnetic configurations arising from a delicate balance among various energy contributions. Despite this complexity, we identify robust recurring motifs, typically involving three-electron clusters, which tile to form distinct magnetic states. Notably, as the Fermi energy approaches an emergent Dirac cone at the Gamma-point, we observe switching between interlocking motifs. Subsequent NQS calculations confirm the stability of many such configurations. However, they often become more itinerant, driving the formation of spin and charge density waves. The intrinsic fragility of these states may suggest possible applications in highly sensitive electromagnetic detection.