Abstract
Two-dimensional boron–carbon–nitride materials exhibit a spectrum of electronic properties ranging from insulating to semimetallic, depending on their composition and geometry. Detailed experimental insights into the phase separation and ordering in such alloy are currently lacking. Here we report the mixing and demixing of boron–nitrogen and carbon phases on ruthenium (0001) and found that energetics for such processes are modified by the metal substrate. The brick-and-mortar patchwork observed of stoichiometrically percolated hexagonal boron–carbon–nitride domains surrounded by a network of segregated graphene nanoribbons can be described within the Blume–Emery–Griffiths model applied to a honeycomb lattice. The isostructural boron nitride and graphene assumes remarkable fluidity and can be exchanged entirely into one another by a catalytically assistant substitution. Visualizing the dynamics of phase separation at the atomic level provides the premise for enabling structural control in a two-dimensional network for broad nanotechnology applications.
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Introduction
A common strategy for tuning the electronic properties of a solid state material is the incorporation of hetero-atoms in the bulk lattice1,2,3,4. The structural similarity between graphene (G) and h-BN motivates the alloying of the two to achieve ternary hexagonal boron–carbon–nitride (h-BCxN) composite with tunable electronic properties5,6,7,8,9,10,11. However, the ability to undergo homophilic (C–C) as well as heterophilic (C–B, C–N and BN) in h-BCxN generates a rich variety of polymorphic structures, making the precise control of their chemical stoichiometry and geometry formidable. Recently, patterned regrowth12,13 has been attempted for the spatially controlled synthesis of lateral junctions between electrically conductive graphene and insulating h-BN to make integrated circuitry12. The successful interfacing of these two isoelectronic materials to form hybrid monolayer film on Ru was also demonstrated by Sutter et al. It is reported that the elimination of residual carbon adatoms is crucial to prevent unintentional intermixing of the G–BN interfaces11. In contrast to spatially segregated G–BN composite, intermixing of B, C and N atoms under thermodynamic non-equilibrium conditions may lead to semiconducting h-BCxN alloys9,14,15. However, the precise conditions needed to control the stoichiometries of well-mixed h-BCxN phases and the relation between crystallization and the ordering in such ternary two-dimensional (2D) alloy are far from understood.
Here, we carry out a systematic scanning tunneling microscopy (STM) study to understand the dynamics of mixing and order–disorder transition in the ternary h-BCxN system with a view towards understanding their atomic and electronic structures. We demonstrate the conditions under which different polymorphic structures can be obtained, including phase-modulated mosaic-like film and stoichiometrically percolated h-BC2N alloy. The complex pattern observed in 2D h-BCxN system can be well-described using Blume–Emery–Griffiths (BEG) model16 with the introduction of at least two order parameters (density and sublattice ordering). The insights into the phase separations and order–disorder transition described here are generic for the growth of a large class of 2D alloys.
Results
Mixing and demixing of BN and C phases on Ru(0001)
The energetics of surface mixing and segregation in 2D monolayers are mediated heavily by the metallic substrate17,18,19, the latter can have the role of a catalyst as well as a solvent at high temperature. Through grain boundaries and exposed edges, gaseous species can intercalate between the 2D films and the metal substrate and be catalytically decomposed at elevated temperatures to form active elemental dopants. The lower energy barrier of surface diffusion on metal relative to bulk diffusion in the host lattice, and surface-catalysed displacement of atoms from its host lattice enhance intermixing relative to thicker films. In the case of graphene on Ru(0001) (G-Ru), the substitution of heteroatoms into the graphene matrix could be modulated spatially by the moiré superstructure, which influences the anisotropic phase segregation in periodic segregation sites. Owing to the buckling instability of graphene on Ru, some carbon atoms are displaced vertically from the substrate, while others remain attached, forming a graphene landscape of humps and valleys (Fig. 1a). Strong chemical hybridization between the Ru substrate and the carbon atoms attached to it results in a significant electron enrichment, potentially increasing the reactivity towards heteroatomic exchange.
To create the conditions for the substitution of N and B atoms into the G-Ru, a sub-monolayer (~0.8 l) graphene was first grown on Ru(0001). This was used subsequently as the reaction template for reacting with vaporized borazine at 900 K. We found that below 850 K, there is insufficient thermal energy to overcome the energy barrier of atomic exchange. Aided by Ru-catalysed processes, interpenetrated h-BCxN phases can be grown at temperature above 850 K. In the initial stage, the substitution and etching of graphene proceeds at the grain boundaries and edges (Fig. 1a,b and Supplementary Fig. S1), where borazine molecules are catalytically decomposed by Ru to release highly reactive N, B and H species. Atomic H generated from the catalytic decomposition participated in the etching of carbon atoms. This process can be described using the reaction equation as shown below:
at a low dose of borazine 5 Langmuir (L), a mosaic-like patchwork consisting of interconnected mortar threads running in a zigzag conformation appears on the surface (Fig. 1c–f and Supplementary Fig. S2). In the work reported by Sutter et al.11, shallow lines were imaged in the mixed BCN (boron–carbon–nitride) regions. These lines appeared to be relatively disordered and their atomic structures and chemical composition were unknown. In contrast, the thread observed here aligns with the orientations of graphene and zigzags at 120° with a periodicity of ~ 6 nm, which is approximately twice of the lattice constant of the graphene moiré pattern a (a=2.97 nm). Atomic-resolved imaging and growth studies under C-rich or BN-rich conditions allow us to deduce the threads to be made of phase-segregated graphene and the encircled dark regions to be mixed h-BCxN phases. The threads have widths of 0.49 nm and an atomic lattice constant of 0.247 nm, which is close to that of graphene. In the penetration of B/N into the graphene lattice to form the BCxN phase, some carbon atoms are preferentially phase-segregated into the periphery of the domains, where it forms the interconnected mortar thread network (graphene nanoribbons: GNRs) encircling individual h-BCxN bricks. The relatively flat region in Fig. 2e ranging from −0.1 to 0.5 eV in the scanning tunneling spectroscopy (STS) spectra recorded on GNRs suggests the occurrence of energy gaps of ~0.6 eV, which might be due to the quantum confinement or the breakage of lattice symmetry induced by strong interactions with Ru substrate (see Supplementary Figs S3 and S4 and Supplementary Note 1 for details). Interestingly, we observe a dynamic unstitching of the GNRs as the inner BCN domain grows: the length of the bright triangles expands by multiples of a even as their overall density decreases. The spatial topology of the mortar threads follows the symmetry of graphene moiré pattern, thus yielding a triangular motif (Fig. 1c–f). The fact that these mortar threads are composed of carbon can be judged from its decreased coverage on the surface upon B/N enrichment, and increased coverage after carbon enrichment at 900 K. The occurrence of the brick-and-mortar structure observed here describes the classic segregation of solute at sinks such as grain boundary, dislocation and free surface, which is analogous to the so-called Cottrell atmospheres created by clouds of impurity atoms near dislocations in crystals20. The segregation sites aligning with the centre of moiré humps are the most accessible and energetically favourable sink for carbon segregants. The interfacial strain induced by lattice mismatch between graphene and h-BCxN drives the rippling of GNRs with an average apparent height of 0.5 Å to relax the internal stress.
The mosaic patchwork formed by GNRs and h-BCxN domains are structurally fluid and the substitution of graphene by BN (Fig. 1), or vice versa, are reversible (Fig. 2), depending on the excess of chemical potentials in the growth conditions. The GNRs increase in density at increasingly C-rich conditions (Fig. 2f–h) attained by dosing hydrocarbon. If the density of the carbon phase exceed a certain threshold, for example, 60 at%, (Supplementary Fig. S5) besides a dense triangular network of GNR arrays (Fig. 2g), the appearance of moiré humps due to a complete replacement of the BN phase by graphene phase occurs. The brick-and-mortar film can be repaired to form a highly ordered graphene moiré pattern after additional C2H4 dosage and prolonged annealing to reach a complete equilibrium (Fig. 2j).
Structural characterization
Within the brick-and-mortar structure, high-resolution imaging of the enclosed h-BCxN phase reveals a quasi-random distribution of bright spots embedded in a dark triangular lattice with a lattice constant of ~2.5 Å (Fig. 3). These bright spots have the same STM contrast as that of carbon atoms imaged in GNRs (Fig. 2a–d), although the triangular lattice hosting the bright spots has nearly the same lattice constant and image contrast as that of valley regions of BN nanomesh grown on Ru(0001)21. Therefore, the bright dot is attributed to a local enhancement of density of states presumably due to carbon doping, which is evidenced by the appearance of a mid-gap state close to Fermi level in the STS spectrum (Fig. 3e). The intensity of this peak at ~−0.1 eV is greatly enhanced when STS is conducted at a cluster of bright spots (Fig. 3e), which may be due to the overlapping of states from carbon dopants (see Supplementary Figs S5 and S6 for details). This assignment also rationalizes the observation of a bias-dependent tunnelling image contrast in the h-BCxN lattice (Supplementary Fig. S7). Close examination reveals that the carbon atoms (bright spots) have a tendency to align in three equivalent crystallographic directions with a lattice spacing of 2.5 Å, as observed in FFT (Fast Fourier Transform) of the large-scale STM image (Fig. 3b). Hence, alloyed h-BCxN displays a paracrystalline phase with short-range order. The tendency for ordering is known to be particularly low in hexagonally packed surface alloys because of the relatively high degeneracy of different states with similar composition. The integrated area of bright spots (carbon atoms) is nearly equal to that of dark region (BN) (49.5%:50.5%), which indicates that a stoichiometrically percolated h-BC2N alloy is obtained upon substitutional doping (Fig. 3d and Supplementary Fig. S8). A stable ternary BCN alloy should have a BCxN composition, that is, equal number of B and N atoms to fulfil charge neutrality conditions. Although different carbon concentrations BCxN (0.6<x<7) have been reported, the most stable composition is believed theoretically to be BC2N. There exist several types of isomers for BC2N sheets derived from the substitution of a B–N pair for C2, whereby the energetics is determined by competition between structural stress and chemical bond strength. Owing to the distinguishable elemental contrast in STM imaging of h-BC2N, several isomers can be identified. Two isomers were found to be dominant structures in Fig. 3h, which match the two most stable configurations among various h-BC2N polymorphic structures predicted by Liu et al.5 and Lu et al.22 In type I isomer (inset in the right corner of Fig. 3h), the unit cell contains eight atoms and each C atom has a C, B and N nearest neighbour, whereas each B (N) has two C and one N (B) as nearest neighbours. This model has inversion symmetry allowing all the bond lengths to be relaxed and thus the structural stress is minimized. In contrast, in type II isomer (inset in the bottom of Fig. 3h), each C atom is joined to two other C atoms and either one B or N, whereas each B (N) atom has two N (B) neighbour coordination leading to chains of C and BN. This atomic arrangement in type II possesses optimized chemical bond energy, which is predicted to be the most energetically favourable isomer, consistent with the observation chains of carbon in Fig. 3b,c. According to previous calculations, the total energy difference between these two isomers is only ~0.18 eV per unit cell5, thus coexistence is possible at the growth temperature of 900 K.
Description of brick-and-mortar structures
Interestingly, we found that the complex phase-separation behaviours observed can be explained using classic BEG model16 in a 2D honeycomb lattice consisting of C, B and N atoms on Ru surface. Each site of this lattice can be occupied by one of these atoms whose states are represented by a variable Si (Si =0, +1 and −1 for C, B and N atoms, respectively). We do not consider the presence of vacancies because those are rarely seen in the experiments. There are six different important short range attractive potentials, Vαβ>0, (α, β=B, C, N) that describe the energetics of the problems, which is consistent with the proposed models used in Chacham’s work7,9. Taking into account the chemical potentials μα for each atomic species, it can be shown that within this model the energy of the alloy can be written as follows:
where indicates the sum over nearest neighbour atoms in the honeycomb lattice and , , , and . Equation (2) describes the BEG model used for the study of the λ transition in He3–He4 mixtures. In the current situation, where , we have J>0 which is also known as the Spin-1 antiferromagnetic Ising model23. The honeycomb lattice can be divided into two interpenetrating triangular lattices labelled with a=1,2. For each sublattice, the density of atomic species is given by: , (equation (2)), where N is the total number of sites in each sublattice and the angular brackets represent ensemble averages (notice that owing to the absence of vacancies: ). The order parameters for this problem are: that describes total BN density; that describes the total BN composition; that describes the difference in BN density in the two sublattices; that describes the difference in BN composition in the two sublattices. The set of numbers (q, qS, m, mS) describes all the possible thermodynamic phases. Crystalline BN phase is described by (1, 0, 0, ∓1) (notice that this is a doubly degenerated phase as we have two different choices for the B and N atoms in sublattices 1 and 2), whereas disordered BN is given by (1, 0, 0, 0). Graphene is given by (0, 0, 0, 0), that is, it is the vacuum phase. Hence, we can have a transition between graphene to either ordered or disordered BN. The complexity of the phase diagram comes from the competition between the K and J terms in equation (2). Although the K term favours a graphene phase, the J term favours a crystalline BN phase. In the case where the concentration of B and N is the same we have, by symmetry, H=m=qs=0. In this case, as K and J are fixed, the phase diagram is controlled by Δ. When the system is pure BN (no C), whereas in the opposite limit of the system is pure C (no BN). At a critical value of Δ=ΔC there is a first-order phase transition between these two phases with a coexistence phase in between. This model is highly consistent with the experimental observations. As shown in Fig. 3f, the order parameters (q, mS) determined in pure BN and graphene zones are (1, ±1) and (0, 0), respectively, whereas it changes to (0.5, 0) in the central region of the B–C–N zones sandwiched between G and BN (Fig. 3g), indicating the formation of a stoichiometric h-BC2N alloy phase (Supplementary Fig. S9). In the coexistence phase, there are interfaces between locally ordered regions separated by domain walls oriented 60° from each other, leading to the formation of brick-and-mortar structure that we observe. The kinetics of growth is driven by the motion of such domain walls that interpolate one phase to the other24. The observed GNRs are the solitons of such interfaces25.
Electronic properties of h-BC2N by STS
The electronic structures of h-BC2N before and after decoupling from the Ru substrate are investigated using STS (Fig. 3e). The STS spectrum of clean Ru surface shows a characteristic d state at ~0.4 eV (ref. 26). Upon the growth of a layer of h-BC2N, the d state from Ru is quenched and in the STS spectrum recorded at the bright spots, a new carbon-induced midgap state appears at −0.1 eV (Fig. 3e); this feature is conspicuously absent in the spectra collected at the dark area (pure BN region). Both spectra display gap-like features but with non-zero tunnelling conductance within the gap owing to the interfacial hybridization between BCN with Ru atoms. To eliminate the substrate effect, the h-BC2N domain is decoupled from the metal surface by oxygen intercalation, this is a common strategy used for the delamination of graphene on metal substrate27,28 (Supplementary Fig. S10). Upon the intercalation, the observed corrugation of h-BC2N vanishes and an energy gap of 2 eV is now observed in the averaged STS data. It is worth noting that the theoretically predicted band gap is 1.6 eV for the most stable h-BC2N configuration5,10,14.
Although the BCN system is predicted to be driven towards segregation of pure C and BN patches in the thermodynamic limit29, a complete solid miscibility between C and BN to form percolated h-BC2N domain can be attained under thermodynamically non-equilibrium conditions, that is, the growth temperature should be lowered to impede the segregation of solute atoms but high enough to overcome the energy barrier of mixing, in combination with the rapid quenching from this growth temperature to fossilize the randomly distributed solute atoms. To suppress the phase segregation of carbon solute, a lower growth temperature coupled with a two-stage enrichment of the elements is needed. The energy barrier of mixing B–C–N atoms to form h-BC2N can be reduced by the pre-adsorption of C2H4 gas on Ru(0001). Micron-sized h-BC2N domains are successfully grown by pre-adsorbing one monolayer C2H4 on Ru(0001), followed by annealing in borazine atmosphere at 750–800 K (Fig. 3a).
Spatially patterned lateral graphene and h-BCxN heterostructures
According to the metal-catalysed substitution mechanism observed here, BN or G monolayer on metal is a versatile template for the fabrication of hybrids because diffusion of B/N or carbon precursors into the host matrix via grain boundaries or exposed edges results in substitutional exchange. Similar to the substitutional exchange of existing graphene islands into BCxN, our STM results show that pre-existing BN islands on Ru can also be transformed into mixed BCN phases when the sample is exposed to C2H4 gas at 900 K (Supplementary Fig. S11). To test the generic validity of the proposed lattice substitutional model we have observed for G/BN on Ru, we have performed similar patterned re-growth experiments on both Ru and Pt metal substrates and transferred the films onto SiO2 for characterization. As shown in Fig. 4 and Supplementary Fig. S12, parallel h-BN strips pre-grown on Pt or Ru substrate were achieved by spatial patterning. The h-BN strips, alternating with bare Pt and Ru regions, were then exposed to ethylene. After the reaction, a continuous film consisting of laterally joined h-BCxN and G parallel strips was grown (schematic in Fig. 4a). The film was electrochemically exfoliated from the metal substrate and transferred onto a SiO2/Si substrate for optical characterization. Figure 4b,c shows the optical contrast arising from alternating graphene (grown on bare Pt) and h-BCxN gratings, the spatial distribution of the h-BCxN and G phases can be confirmed by Raman and photoluminescence (PL) mapping (Fig. 4d,e). In the BCxN region, we observe strong PL signal located at around 590 nm (2.1 eV) when excited by a continuous wave laser (wavelength: 532 nm; Fig. 4f), whereas the graphene region is non-emissive, thus giving rise to bright and dark contrast in PL mapping. Similar results were obtained for the hybrid film grown on Ru, which suggests that the substitutional alloy of BN and G into BCN phase may have genetic validity for some transition metal substrates. The energy of the PL peak is assigned to BC2N (ref. 14) and corresponds well to the bandgap of ~2 eV measured by the STS on the h-BC2N area. It is worth noting that on a pure h-BN film, no PL signal (Supplementary Fig. S13) was obtained using visible light excitation, therefore the PL observed here originates from hybridized states formed between BN and C in BCxN. The PL emission becomes saturated with increasing laser power (Fig. 4g), which suggests that the process is carrier-limited and related to some defect or impurity states30. The PL transient dynamics in h-BCxN was also studied by time-resolved PL. Figure 4h shows the decay trace of the PL obtained at temperature of 80 K. Inset is the corresponding streak camera image of the transient PL decay dynamics. The PL decay profile can be fitted biexponentially, from which we obtained two distinct lifetimes of 450±40 ps and 50±10 ps (Supplementary Fig. S14) – originating from two carrier relaxation pathways.
Discussion
In summary, dynamic biphasic mixing and demixing in 2D ternary h-BCxN system, catalysed by the metal substrate, has been studied at the atomic level using STM. The presence of a metallic catalyst lowers the energy for intermixing in 2D ternary system. Metal substrate-catalysed substitutional exchange of h-BN by carbon atoms, or graphene by B–N atoms, presents a route for doping and alloying under non-equilibrium conditions. The complex phase-separation behaviours observed can be rationalized using BEG model in a 2D honeycomb lattice. It can be expected that the mechanical strength and sheet conductance of the hybrid ternary film can be tailored by engineering the mortar, that is, the GNR network, surrounding the BN bricks. The results here demonstrate the amazing structural and compositional versatility of graphene (or h-BN) monolayer on metal where the fabrication of h-BC2N nanostructures integrated with GNRs can be achieved by direct substitution reactions.
Methods
Sample preparation and STM characterization
The experiments were performed in an ultrahigh vacuum chamber equipped with an STM and an adjoined sample preparation chamber, with a base pressure of 1.5 × 10−10 mbar. The Ru(0001) surface was carefully cleaned using standard recipe24. The clean Ru(0001) was exposed to a gas flux of C2H4 gas (National Oxygen Pte Ltd., purity 99.99%) at a partial pressure of 1 × 10−7 mbar for 10 min with the substrate heated up to ~900–1,000 K to grow submonolayer graphene (~0.7–0.8 Ml). To synthesize the brick-and-mortar pattern consisting of mixed BC2N phase and GNRs, as-prepared graphene/Ru(0001) was annealed in vaporized borazine with a partial pressure of ~2 × 10−8 mbar for 5 min. After growth, the sample was characterized by a SPECS STM 150 Aarhus unit with the Nanonis (SPECS) SPM control system at 298 K.
Patterned regrowth of graphene/h-BCxN heterostructures
The growth of spatially patterned lateral graphene/h-BCxN heterostructure was carried out in the ultrahigh vacuum condition on platinum (Pt) foil and Ru single crystal using the same precursors as above. The h-BN film grown on Pt film or Ru was patterned into 2 μm strips with alternate 2 μm spacing by nano-imprinting. The patterned h-BN film on Pt foil or Ru crystal was then placed in 1-methyl-2-pyrrolidone to clean away residual resist. Next, graphene was deposited by CVD on the bare metal surface between the h-BN strips. Finally, the lateral graphene/h-BCxN heterostructure films were electrochemically delaminated from the Pt foils or Ru crystal for further characterizations (refer to details in supporting information).
PL measurement
Spatially resolved PL measurements of the as-prepared samples were performed using a confocal microscope with a long working distance 50 × objective (Nikon Objective, NA=0.55) and a continuous wave laser (532 nm wavelength) as the excitation source. The PL emission was spectrally resolved with a monochromator (PI Acton, Spectra Pro 2500i) and collected with a thermoelectrically cooled charged coupled device camera (PI, PIXIS-400B). Temperature-dependent PL (77–300 K) was performed using a liquid-nitrogen-cooled cryostat (Janis, ST-500 Microscope Cryostat). For time-resolved PL measurements, frequency doubled pulses (400 nm) from a Coherent Mira Titanium:Sapphire oscillator (120 fs, 76 MHz at 800 nm) was used as the excitation source. The time-resolved PL spectra were obtained using a streak camera system (Optronis GmbH) configured with a fast synchroscan sweep unit (FSSU1-ST) which has an ultimate temporal resolution of ~2 ps including jitter (or ~6 ps after coupling with a monochromator) at the fastest scan speed of 15 ps mm−1. Typical operating scan speeds in this work was at 100 ps mm−1.
Additional information
How to cite this article: Lu, J. et al. Order–disorder transition in a two-dimensional boron–carbon–nitride alloy. Nat. Commun. 4:2681 doi: 10.1038/ncomms3681 (2013).
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Acknowledgements
K.P.L. thanks funding support from MOE Tier 2 ‘From in-situ observation to the growth scaling of graphene quantum dots’ R-143-000-493-112. A.H.C.N. acknowledges the NRF-CRP award ‘Novel 2D materials with tailored properties: beyond graphene’ (R-144-000-295-281). T.C.S. acknowledges the support from the following research grants: NTU start-up grant (M58110068) and MOE2011-T2-2-051 (M402110000). X.F.L. and T.C.S. also acknowledge the financial support by NRF-CRP under Project No. NRF-CRP5-2009-04.
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J.L., K.Z. and K.P.L. conceived the original idea. J.L. carried out the STM experiments. K.Z. performed the growth of spatially G/h-BCXN heterostructures. K.Z., X.F.L. and H.Z. measured PL. A.H.C.N. provided the theoretical framework. J.L., K.Z., X.F.L., T.C.S. and K.P.L. analysed the data and discussed the results. J.L., K.Z, A.H.C.N and K.P.L wrote the manuscript. All authors discussed and commented on the manuscript.
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Lu, J., Zhang, K., Feng Liu, X. et al. Order–disorder transition in a two-dimensional boron–carbon–nitride alloy. Nat Commun 4, 2681 (2013). https://doi.org/10.1038/ncomms3681
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DOI: https://doi.org/10.1038/ncomms3681
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