133101-2
Sutter et al.
Appl. Phys. Lett. 94, 133101 ͑2009͒
FIG. 1. ͑Color͒ Morphology of first-layer epitaxial graphene on Ru͑0001͒.
͑a͒ UHV STM image, obtained at 77 K, of a large area of monolayer epi-
taxial graphene on Ru͑0001͒. ͑b͒ High-resolution STM image of the moiré
structure of the graphene layer ͑V= +0.2 V, I=0.2 nA͒. ͑c͒ Magnified view
of the highest region of the moiré, showing a local honeycomb structure.
FIG. 2. ͑Color͒ Morphology of the top sheet of bilayer epitaxial graphene
on Ru͑0001͒. ͑a͒ UHV STM image ͑T=77 K͒ of the surface consisting of
two different phases: a BLG island on a completed MLG layer. ͑b͒ Height
profile along the line displayed in a. ͑c͒ High-resolution STM image show-
ing honeycomb contrast, i.e., sublattice equivalency, in rippled and flat re-
gions of the bilayer. ͑d͒ Closeup view of the graphene honeycomb lattice
͑V= +0.7 V, I=0.2 nA͒.
assigned to a moiré pattern whose atomic contrast varies
across the unit cell depending on the local registry with the
surface Ru atoms. The local registry determines which of the
graphene A or B sublattices is imaged. In most parts of the
moiré unit cell the sublattice symmetry is broken and only
one of the two carbon sublattices is imaged due to the strong,
covalent interaction with the substrate. The full graphene
honeycomb lattice is only visible in areas directly adjacent to
the moiré maxima ͓Fig. 1͑c͔͒. In these regions the graphene
sheet is lifted higher above the Ru lattice and couples weakly
to it.9 As a result, the density of states ͑DOS͒ of the two
sublattices is identical in these areas and the full honeycomb
of both A and B carbon atoms is imaged by STM.
While the atomic structure of the graphene monolayer
shown in Fig. 1 is dominated by the strong covalent interac-
tion with the metal substrate, it is important to establish the
surface structure of the graphene bilayer, whose topmost
sheet is expected to be almost completely decoupled and
only interacting with the support via weak van der Waals
forces.5 In order to ensure the unambiguous identification of
the bilayer, the growth was modified to yield only small nu-
clei of the second graphene layer. This was achieved by
growing the monolayer to saturation coverage, and then rap-
idly lowering the sample temperature.
Figure 2͑a͒ shows a typical BLG island and the sur-
rounding completed monolayer. The island is bounded on
one side by a Ru surface step and on the other by a kinked
but atomically sharp edge whose segments align with the
major crystallographic directions of the underlying moiré
structure of the monolayer. The surface of the bilayer island
shows distinct inhomogeneous STM contrast that appears
less ordered than the surrounding monolayer areas. While a
majority of the sheet is flat, it also carries surface ripples of
varying height, the highest of which protrude about 1 Å. In
the sample plane, the positioning of these ripples shows no
long-range order. In some areas the ripples are in a local
hexagonal arrangement with the periodicity and orientation
of the superstructure of the adjacent monolayer but they gen-
erally do not align with the maxima of the monolayer moiré.
Figure 2͑b͒, a profile of apparent height in STM along
the line traced in Fig. 2͑a͒, shows a height difference of
ϳ2.2 Å between two terraces entirely covered by MLG, cor-
responding to the interlayer spacing of the ͑0001͒-oriented
Ru ͑2.14 Å͒. These areas covered by MLG are thus grown on
adjacent substrate terraces and separated by an atomic Ru
step. Although the contrast in STM invariably reflects a com-
bination of topographic and electronic structure and can be
difficult to interpret on inhomogeneous surfaces, the mea-
sured height difference between the two sheets of the bilayer
͑3.2 Å, relative to the monolayer minima͒ is close to the
c-axis spacing of graphite ͑3.35 Å͒, as expected if the top
sheet of the bilayer is coupled to the underlying support by
weak van der Waals forces only.
The equivalence of A and B carbon sublattices in
graphene requires a description of electronic Bloch states in
terms of two component wave functions and gives rise to
and anisotropic group velocity renormalization11 and elec-
important to establish if the decoupling of top sheet of epi-
taxial BLG on Ru is sufficient to recover the A/B sublattice
symmetry. This question can be addressed by high-resolution
STM. Atomically resolved images ͓Figs. 2͑c͒ and 2͑d͔͒ ob-
tained on the bilayer show symmetrical honeycomb contrast
throughout, i.e., in both planar and rippled areas. The honey-
comb structure is characteristic of a single graphene layer for
by STM on cleaved MLG on SiO2.13,14 The atomic structure
observed here shows that the top sheet in bilayer epitaxial
graphene on Ru͑0001͒ is weakly perturbed by residual sup-
port interactions and has the characteristics of freestanding
MLG. In particular its carbon sublattices are equivalent so
that its charge carriers should behave as massless and chiral
Dirac fermions, showing the rich behavior observed or pre-
dicted for such charge carriers in isolated MLG.
To further explore the electronic decoupling of the top
sheet of epitaxial BLG, we have performed scanning tunnel-