Real-space Visualization of Emergent Electron Crystals in Rhombohedral Graphene

RESUMO

Strongly interacting electrons can spontaneously break spatial symmetries to form electron crystals, exemplified by the Wigner crystal. Recent studies of topological flat bands in rhombohedral graphene have suggested more exotic forms of crystallization, including anomalous Hall crystals that entangle charge order with nontrivial topology and metallic electron crystals in which localized and itinerant carriers coexist. Direct real-space observation of these states, however, has remained elusive. Here we use scanning tunneling microscopy and spectroscopy to visualize emergent electron crystals in rhombohedral hexalayer graphene. At low electric fields and over a finite range of hole doping, we observe electronic lattice patterns that evolve from honeycomb to oblique order through a first-order quantum phase transition with increasing hole density. The Fermi surface extracted from quasiparticle-interference measurements lacks the geometry needed to account for these patterns through conventional nesting. Together with metallic transport and a crystal-site density much lower than the doped carrier density, this supports metallic electron crystals in which a subset of carriers crystallizes. The honeycomb crystal occupies the same phase space as the multiferroic orbital magnetism observed previously in transport and exhibits domain stabilization by a small magnetic field, which may suggest a possible metallic anomalous Hall crystal. With increasing magnetic field, the oblique phase develops a $\sqrt{2}\times\sqrt{2}$ reconstruction with a crystal-sublattice energy splitting that increases linearly with field, corresponding to a $g$-factor of 16. This may reflect an orbital-antiferromagnetic electron crystal with alternating orbital magnetization across the lattice. These results establish a new paradigm of electron crystallization in which charge order is intertwined with orbital magnetism.