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# Controlled Formation of Sharp Zigzag and Armchair Edges in Graphitic Nanoribbons

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Science  27 Mar 2009:
Vol. 323, Issue 5922, pp. 1701-1705
DOI: 10.1126/science.1166862

## Abstract

Graphene nanoribbons can exhibit either quasi-metallic or semiconducting behavior, depending on the atomic structure of their edges. Thus, it is important to control the morphology and crystallinity of these edges for practical purposes. We demonstrated an efficient edge-reconstruction process, at the atomic scale, for graphitic nanoribbons by Joule heating. During Joule heating and electron beam irradiation, carbon atoms are vaporized, and subsequently sharp edges and step-edge arrays are stabilized, mostly with either zigzag- or armchair-edge configurations. Model calculations show that the dominant annealing mechanisms involve point defect annealing and edge reconstruction.

Graphene, a single sheet of graphite, has attracted a lot of research interest since it first became experimentally accessible in 2004 (15). Its two-dimensional (2D) structure and the near massless behavior of its charge carriers provide unique transport properties. Graphene nanoribbons, which are quasi-1D graphene nano-structures, exhibit a bandgap between the valence and conduction band states. The bandgap depends on both the edge type and ribbon width (6), which is typically a few nanometers, making graphene nanoribbons a very interesting material for potential electronics applications (7). Theoretical and experimental studies show that the edges of graphene nanoribbons strongly influence their electronic and magnetic properties (8, 9). Therefore, much effort has been devoted to studying the edges in graphitic nanomaterials (1018). Although atomically smooth edges are essential for many applications, it is difficult to produce such edges by conventional physico-chemical methods. For example, lithographic etching and chemical methods usually provide rough edges (19) that contribute to carrier scattering. Furthermore, characterizing the edges and identifying the edge structure has been a challenge.

With an integrated transmission electron microscope–scanning tunneling microscope (TEM-STM) system [see supporting online material (SOM)], we are able to produce atomically smooth zigzag or armchair edges from defective rough edges that are observed in specially prepared graphitic nanoribbons (20). The graphitic nanoribbon samples are produced by a chemical vapor deposition process (20), as summarized in the SOM (fig. S1A). An individual nanoribbon sample is attached to the sample holder at one end and to the STM tip at the other end; these ends also serve as the two electrodes. As we apply a voltage (up to 1.6 V) over the length (315 nm) of a 66-nm-wide ribbon, the current (I)–versus–voltage (V) curve shows (Fig. 1A) the onset of a nonlinear regime (at 1.6 V), where the resistance decreases with increasing input energy (Fig. 1B). As current flows, the degree of crystallinity of the ribbon improves rapidly (Fig. 1, C and D), and the sample thickness decreases, until all the graphene layers evaporate and the sample breaks from the middle (fig. S1B). From the edge terminations observed in Fig. 1E, we conclude that the majority of edges are either zigzag or armchair after Joule heating.

It is important to note that in the lower voltage (quasi-linear) regime below 1.6 V (see Fig. 1A), carbon atoms mainly vaporize because of knock-on effects caused by the electron irradiation (21), and edges start reconstructing via Joule annealing. However, at higher applied voltages (1.6 V), the preferred reconstruction-crystallization effects induced by the high temperature caused by Joule heating are seen in going from Fig. 1, C to D, indicating that the activation energy of atoms forming zigzag or armchair edges is lower than for other edge configurations. Other types of edges are seen infrequently because a mixture of zigzag and armchair edges is metastable due to an energy penalty at the edge junctions. Figure 1F depicts the reconstructed graphitic material shown in Fig. 1D. The measured in-plane lattice spacing for our ribbons is 0.24 ± 0.02 nm, consistent (within the accuracy of our TEM measurements) with literature values for graphite [which is $Math$, where ac–c is the nearest-neighbor carbon-to-carbon distance (22)]. As a result of carbon atom vaporization and Joule heating, the defective graphitic edges in the as-grown nanoribbon sample crystallize (fig. S2) and finally become atomically sharp and highly crystalline. The maximum length of the smooth edges observed after the process in Fig. 1E is ∼29 nm. The mechanism of reconstruction or crystallization for the nanoribbons and edges is attributed primarily to the carbon atom vaporization, the current flow along the ribbon and edges, and the high temperature associated with the resistive Joule heating (see SOM).

The graphitization steps of carbon at high temperatures have been described by Goma and Oberlin (23, 24). Here the graphitization process culminates in the thermal crystallization of wavy and wrinkled layers into long in-plane crystalline domains by ∼2100°C with c-axis stacking order starting to develop above 2300°C and identified with crystalline graphite. For our ribbon samples, we observed the transformation of AA stacking into ABAB stacking, and we attribute these transformations mainly to the high temperatures reached (above 2000°C) in the nonlinear voltage regime. To verify that a high temperature is achieved by resistive Joule heating in the suspended graphitic nanoribbons, Pt nanoparticles were deposited on an as-prepared ribbon (fig. S4). Upon Joule heating (with an applied bias below 2V), the Pt nanoparticles evaporate from the center region of the nanoribbon surface (fig. S5), thus indicating that a high temperature is achieved by Joule heating along the freely suspended ribbon (see SOM).

The dynamics of the edge reconstruction are shown in Fig. 2, A to D, and fig. S3. In Fig. 2, A to D, we see a time resolved sequence of a three-layered graphene edge structure placed on top of another few-layered graphene sheet with a zigzag-armchair-zigzag-armchair edge configuration forming 150° angles (note that the angles between zigzag and armchair edges can be 30°, 90°, or 150°). As we apply a bias voltage of 1.6 V (high annealing temperatures), the armchair edge above the zigzag edge starts to evaporate, resulting in the upward movement of the zigzag edge (red arrows) with a speed of 2.3 nm/min. This low speed at the investigated high temperatures indicates that the necessary activation energy is much larger than the activation energy of defect migration observed by Jin et al. (25) in carbon nanotubes. Eventually, as shown in Fig. 2D, the armchair edge is eliminated, and the lower zigzag edge joins with the upper zigzag edge and forms a stable zigzag-zigzag junction.

In Fig. 2E, the edge motion direction and speed are plotted for 14 experiments over the ribbon sample, similar to that shown in Fig. 2, A to D. From Fig. 2E, we see that the edge motion mostly follows either zigzag or armchair crystallographic orientations, and that the speed of edges moving along the heat flow direction $Math$ (from the middle of the ribbon to the two electrodes acting as heat sinks) is higher (2 nm/min) than that along the current flow direction $Math$ (from the STM probe to the sample holder) when the two are antiparallel (1 nm/min). Edge motion along other directions is not favored. A scenario for the dissociation of carbon atoms from edges and the resulting motion of the edge junctions is given in Fig. 2F.

The reason why thermal energy is dissipated at an edge hetero-junction is because it is the location of the largest electrical resistance. Therefore, quasi-metallic [zigzag-edged or one-third of armchair-edged graphene nanoribbons (26)] systems should be preferred. Joule heating involves both current flow and atomic vibrations. Carbon nanoribbons do not show any specific phonon associated with a given edge type (there is no special phonon localized on the edges themselves) (27). Point (localized) defects are associated with large amplitude vibrations, and these are likely to be annealed first. In addition, zigzag-edged graphene ribbons are the only graphene structures which have electronic states that are localized along their edges (9). Because the electronic dispersion is quite large (Fig. 3, D and E), the electronic flow in zigzag-edged nanoribbons occurs mainly along these zigzag edges. When a zigzag edge meets a non-zigzag edge, the electronic flow is reduced, and the system acts as if a large resistance were introduced at the junction. Therefore, heating will result and will cause electron flow away from the edge junction or, if enough energy is dissipated at the junction, will result in a modification of the structure. In that case, provided that sufficient energy is dissipated in this manner, the atomic structure will rearrange locally (fig. S6) until electronic flow is reestablished. Starting from a zigzag edge, this can take place if the structure is annealed into a zigzag edge. For this reason, zigzag-zigzag junctions are the favored junction formation (Fig. 1). This zigzag edge formation mechanism is therefore local, because it is due to a high local resistance at the edge intersection.

To verify this hypothesis, we considered the three junctions shown in Fig. 3, A to C, which differ in the structure of the tapered edge: In Fig. 3A, the junction is made by an armchair edge, whereas the junctions in Fig. 3, B and C, are a mixture of edge geometries. The conductance of the hetero-junctions between zigzag and armchair edges is considerably reduced because of the fact that transmission is hindered on those non-zigzag edges where no electronic state is present. The scattering amplitude of a current-carrying state close to E = 0 eV is shown in Fig. 3G, highlighting the appearance of a large, localized resistance where the zigzag edge is interrupted. In turn, this resistance results in local heating and subsequent annealing into an all–zigzag edge system.

A nonlocal transformation mechanism can be invoked to account for the formation of semimetallic conducting armchair edges. For larger current flow, the structure can also anneal into a conducting armchair-edge system, as the current is allowed to flow, albeit not along the edges themselves. The effect is nonlocal in nature because, even though the edge structure governs the semi-metallicity of the whole structure, the current flow in the nonlocal case mostly appears away from the edges.

Experimentally, we found that more zigzag edges are initially formed at high temperatures, which is an indication that local processes are dominant. Conversely, armchair-edged ribbons, although found in less abundance, are considerably longer (Figs. 1 and 2), lending support to an operative nonlocal mechanism. Also, it is important to note that armchair edges evaporate easily when compared with the zigzag edges (Fig. 2). Molecular dynamics calculations (fig. S6) show that a C–C unit located at the armchair edge dissociates preferentially; the energy required to vaporize a C–C unit from the armchair edge is 6.7 eV, whereas that of a zigzag edge is considerably higher (∼11 eV).

The Joule annealing process and its associated current flow create stable “edge arrays” (see Fig. 1D and Fig. 2, A to D). These edge arrays indicate that an offset is present between the edges of two adjacent layers. The results of a careful measurement of the edge-to-edge distances in these edge arrays is plotted in Fig. 4A, which shows clear peaks at 0.34-, 0.38-, and 0.43-nm edge-to-edge distances. These distances correspond to the offset of adjacent edges of differently stacked graphene layers (Fig. 4A). Of particular interest, the evolution of the edge arrays (Fig. 4B) after 10 min of irradiation and Joule annealing shows a clear increase for the AB stacked zigzag edges and a decrease of the AA stacked zigzag edges. This observation is attributed to the fact that the ABAB stacked configuration is thermodynamically more stable than AA stacking (28) and is consistent with the Goma-Oberlin mechanism (23).

We demonstrated the efficient shaping of graphitic nanoribbon edges into zigzag or armchair edges via Joule heating inside a TEM-STM system. This structural transformation is mainly attributed to the vaporization of carbon edges that reconstruct at high temperatures, in which the resistive Joule heating and the preferred current flow along specific edges play a vital role. The theoretical edge evolution model reveals that the specific edge formation is stimulated as a means to provide an easy path for current flow between intersecting zigzag and conducting armchair edges. This means that the efficient formation of all zigzag-edge ribbons could be achieved by careful limitation of the flowing current. These results open up a possible way of generating atomically well-defined edges that make graphene-based electronics possible.

Supporting Online Material

Materials and Methods

SOM Text

Figs. S1 to S6

References