In van der Waals structures, moiré superlattices give rise to electronic flat
bands, setting the stage for emergent collective phenomena, such as correlated
insulating and superconducting states in twisted bilayer graphene. Such
phenomenology may also be present in higher order heterostructures where the
vertical stacking order plays a major role. Recent transport measurements showed
that the system formed by two Bernal-stacked graphene bilayers rotated with
respect to each other ~1.3° hosts correlated insulating states when its energy
band is filled with electrons. In this talk I will present real-space imaging of
such double bilayer moiré superstructures. Scanning Tunneling Spectroscopy
reveals the presence of sharp resonances in the density of states, whose spatial
distribution within the moiré unit cell is governed by their inequivalent
stacking arrangement. Tuning the electron filling as well as the displacement
field reveals broken C3 symmetry that emerges when the Fermi level is brought in
the flat band. This symmetry breaking is manifested as long-range commensurate
stripes along a high-symmetry moiré crystallographic direction, distinctive of
nematic correlations of electronic origin. Comparing our experimental data with
a combination of microscopic and phenomenological modeling, we show that the
nematic instability is not associated with the local scale of the graphene
lattice, but is an emergent phenomenon at the scale of the moiré lattice,
pointing to the universal caracter of this ordered state in flat band moiré
materials.