Introduction

The research on two-dimensional (2D) layered materials has been thriving for a decade now since the discovery of graphene1,2,3. Most of the 2D materials studied so far, including graphene, chalcogenides and oxides, are inorganic atomic crystals with strong in-plane chemical bonds3. 2D molecular crystals held by van der Waals (vdW) forces, on the other hand, are rarely reported. Organic molecular crystals represent an important class of materials for electronic and photonic applications4,5,6,7. Compared with bulk materials, monolayers could effectively eliminate interlayer screening, thus offer an ideal system to directly probe the effect of disorders8,9 and interfaces10,11on charge transport. Furthermore, both carrier injection and modulation would become more efficient to greatly improve the performance of organic field-effect transistors (OFETs). Therefore, 2D molecular crystals can open a new paradigm in the applications of layered materials and heterostructures.

Here, we report on the epitaxial growth and OFETs of 2D dioctylbenzothienobenzothiophene (C8-BTBT) molecular crystals down to monolayer on graphene and hexagonal boron nitride (abbreviated as BN) substrates. We select C8-BTBT because it is among the highest mobility small-molecule organic materials12,13,14. Graphene and BN are also ideal substrates as they are atomically flat without dangling bonds15. Therefore, the initial stage of epitaxy relies on the vdW interaction between the molecules and substrate16. We show that the substrate flatness and weak vdW interaction are crucial for high-performance monolayer organic transistors because of the minimal disturbance in both crystal growth and charge transport.

Results

Growth and characterization of C8-BTBT molecular crystals

The growth was carried out in a tube furnace under high vacuum of ~4 × 10−6 Torr without carrier gas (Supplementary Fig. 1). We heated up the C8-BTBT powder (as received from NIPPON KAYAKU Co., Ltd. without further purification) to 100–120 °C and placed graphene or BN on SiO2/Si a few inches away from the source to start the growth. Below we focus our discussion on graphene substrate, while similar observations are also made on BN (Supplementary Figs 2 and 3). Figure. 1b–e show sequential atomic force microscopy (AFM) snapshots of the same sample during a 95-min growth, which was intentionally interrupted for characterization (the sample was taken out to ambient each time, see Supplementary Fig. 4 for the AFM images of the whole sequence). From these images, several conclusions can be drawn. (i) The crystals preferentially grew on graphene, in a layer-by-layer fashion with atomic smoothness. The thickness of the initial two layers (namely the interfacial layer, IL, and the first layer, 1L) was ~0.6 nm and ~1.7 nm, respectively (Fig. 1f, Supplementary Fig. 5), indicating that molecular packing in the initial layers was different from bulk crystals12. However, the thickness of the subsequent layers was ~3 nm as bulk crystals. (ii) In each layer, the growth initiated at certain nucleation sites and proceeded nearly isotropically as compact islands. The most common nucleation sites were disorders from the previous layers (Fig. 1c) or from the substrate (Fig. 1d, Supplementary Fig. 4a,f,m), as well as edges (Fig. 1e, Supplementary Fig. 4k,n), likely due to their high surface energy. (iii) The frequent interruption and ambient exposure of the sample did not significantly affect the growth, which suggested that the crystals were of pristine quality and stable against photooxidation in ambient. Supplementary Figure 6 shows the growth process of another sample with excellent quality and thickness control.

Figure 1: Epitaxial growth of C8-BTBT molecular crystals on graphene.
figure 1

(a) Cartoon illustration of the molecular structure of C8-BTBT (left panel) and their packing on graphene (right panel). (be) Sequential AFM snapshots of a sample at different stages during a 95-min growth. Scale bar, 2 μm. The complete sequence of the growth process is shown in Supplementary Fig. 4. (f) Histogram of layer thickness of C8-BTBT molecular crystals on graphene, taken from over 10 samples. (gj) AFM (g), Raman mapping (h) and cross-polarized optical micrographs (i,j) of a uniform 1L C8-BTBT crystal grown on graphene. Scale bar, 3 μm. Inset of g is the height profile along the dashed line. The total thickness of graphene and the crystal is 3.7 nm, confirming 1L C8-BTBT (2L would have made the total thickness greater than 5.3 nm). The Raman spectrum of the C8-BTBT crystal is plotted in Supplementary Fig. 13b. (k) Normalized intensity of the 1L C8-BTBT crystal under cross-polarized optical microscope as a function of rotation angle. The data are taken at the marked spot in i and j. (lo) Patterned growth of C8-BTBT crystal on graphene. Scale bar, 7 μm. (l,m) Optical microscopy image of a plasma-patterned graphene before and after C8-BTBT growth, respectively. (n,o) Cross-polarized optical micrographs of the same area after C8-BTBT growth. The uniform colour change over the entire area confirms that C8-BTBT forms a single crystal.

The sample in Fig. 1b–e has multiple nucleation sites in each layer, probably due to the defects such as cracks and wrinkles of the underlying graphene (Supplementary Fig. 4a). However, with careful control of the growth parameters on defect-free graphene, we repeatedly observed large-area uniform 1L or 2L C8-BTBT single crystals up to ~80 μm in size (Supplementary Figs 7–11. Figure 1g shows a uniform monolayer C8-BTBT crystal grown on a graphene sample over 30 μm long and 5 μm wide (we do not count the IL in the number of layers because charge transport does not likely happen in this layer, as discussed later), as confirmed by the total thickness of 3.7 nm (Fig. 1g inset) and Raman spectroscopy (Fig. 1h, Supplementary Fig. 13b). Cross-polarized optical micrographs showed that the entire piece was a single crystal except a small portion at the bottom (Fig. 1i,j), and the optical intensity had a fourfold symmetry as expected for high-quality single crystal (Fig. 1k). The low nucleation density and island growth mode (as opposed to fractal growth) point to a high diffusion coefficient of C8-BTBT molecules both on surface and along the island edges17,18. This is a natural result of the substrate flatness (Supplementary Fig. 12) and relatively weak vdW forces from the substrate, in clear contrast to the conventional epitaxy where strong chemical bonds are formed at the interface16.

The thickness of ~0.6 nm for the IL pointed to a new form of molecular packing at the interface. To determine its structure, we performed combined scanning tunnelling microscopy (STM) and density functional theory (DFT) studies (see Methods for details). We observed under STM that the IL C8-BTBT molecules were packed in a rectangular lattice with d1=2.52 nm and d2=0.66 nm in two orthogonal directions (Fig. 2a). On the basis of this morphology, we built a series of possible molecular configurations, where the C8-BTBT molecule unit was leaning towards graphene by different angles compared with the ‘stand-up’ configuration (Supplementary Fig. 14). We found that the most stable single-molecule configuration had a leaning angle of ~35°, in which both alkyl chains and benzothiophene were in closest proximity and parallel to graphene (Supplementary Fig. 14f). In such configuration, both CH-π interactions19 and the π–π interactions20 were maximized. When forming periodic crystals, however, the fully relaxed benzothiophene plane was slightly tilted to form a 10° angle with graphene in DFT, due to intermolecular interactions. We further calculated the stability as a function of lattice constants and found that d1=2.47 nm and d2=0.64 nm was the most stable configuration (Supplementary Fig. 15), in excellent agreement with STM results. Moreover, the angle between the carbon chains and the benzothiophene was calculated to be 134°, very close to the measured angle of 140° by STM. Finally, quantitative match with both the layer thickness ~0.52 nm and detailed STM height profiles (Supplementary Fig. 23) allowed us to confirm the crystal structure of the IL drawn in Fig. 2b. Clearly, the symmetry of IL is different from that of the underlying graphene substrate because of the vdW nature of the epitaxy16. Our DFT calculations suggest that 2D growth of IL is energetically favourable due to the intermolecular interactions (Supplementary Figs 16–18, Supplementary Note 1). In addition, a global energy minimum exists for different IL orientations with respect to the graphene substrate (Supplementary Fig. 19, Supplementary Note 2), making it possible to form large-area single crystals as observed experimentally (Supplementary Fig. 10). We note that IL does not likely contribute to lateral charge transport due to small intermolecular π–π interactions.

Figure 2: Molecular structure of the C8-BTBT crystals on graphene.
figure 2

(a) A constant-current STM image of the IL on CVD graphene (Vsample=−0.91 V and I=12.9 pA). Scale bar, 2 nm. (b) Top view (top panel) and side view (bottom panels) of the most stable IL structure obtained by DFT calculations. The lattice constants of 2.47 nm and 0.64 nm are in excellent agreement with experiments. (c) High-resolution AFM image of the 2L on graphene. The unit cell is marked. Inset is the Fast Fourier Transform of the AFM image with lattice indices. Scale bar, 1 nm. (d) Top view (left panel) and side view (right panel) of the 2L structure according to the AFM image in c.

Due to limited vertical conductivity, the structure of the subsequent layers was studied by high-resolution AFM. We found that the crystal structures for both 1L and 2L were monolithic with herringbone-type packing as in bulk crystals12 (Fig. 2c,d, Supplementary Figs 9–11,24). The lattice constants were a=6.24±0.25 Å (6.69±0.13 Å), b=8.31±0.05 Å (7.89±0.25 Å) for C8-BTBT crystals on graphene (BN), each measured from 10 areas on different samples. The slight deviation from bulk crystal values was not understood, but could come from limited lateral resolution of AFM. We did not observe any statistical difference of lattice constants between 1L and 2L. The C8-BTBT molecules in 1L seemed more inclined than bulk crystals12. Apparently, the role of substrate was much reduced in 1L and became negligible in 2L and above, because the vdW forces decayed rapidly as r−6. Indeed, the calculated binding energy of 1L and graphene is 0.07 eV per molecule (Supplementary Fig. 20), much smaller than that of IL as well as intermolecular binding energy within 1L. Importantly, the charge transport in graphene is not significantly affected by the deposition of C8-BTBT layers (Supplementary Fig. 25, Supplementary Table 1). Considering the charge transport in organic transistors occurs near the semiconductor-dielectric interface11,21, the few-layer C8-BTBT crystals can thus be regarded as quasi-freestanding with minimal disturbance from the substrate.

For future device applications, it is important to demonstrate the growth of 2D molecular crystals on centimetre scale as well as patterning capability. We successfully grew large-area C8-BTBT crystals on graphene formed by chemical vapour deposition (CVD graphene; ~1 cm in size, see Methods for CVD sample preparation), with over 90% coverage (Supplementary Figs 26–28, Supplementary Note 4). AFM analysis indicated that the C8-BTBT crystals on CVD graphene shared the same molecular packing as those on exfoliated graphene. However, due to the polycrystalline nature of the CVD graphene, and the presence of wrinkles, cracks and polymer residue, the C8-BTBT films were polycrystalline with domain size around tens of micrometres (Supplementary Fig. 28). Future works are needed to further improve the quality and uniformity of C8-BTBT crystals on CVD graphene. Our approach also enables patterning of ultrathin organic crystals for device integration. Figure 1m shows that C8-BTBT crystal can be readily grown on graphene patterns etched by oxygen plasma, with excellent uniformity. Cross-polarized optical micrographs verified that the whole area was a single crystal (Fig. 1n,o).

FETs of 2D C8-BTBT crystals

Next we demonstrate several logic device applications of the epitaxial C8-BTBT crystals. When grown on graphene, a vertical graphene-semiconductor heterostructure was readily obtained. We then deposited 100 nm thick Au layer as top electrode to form a vertical OFET (Fig. 3b inset). Compared with previously reported 2D layered heterostructures22,23,24, our method is inherently scalable without the need for mechanical transfer. Figure 3a,b show transfer (JdsVg) and output (JdsVds) characteristics of a typical vertical FET comprising of five layers of C8-BTBT, with a large on/off ratio ~1,500 at room temperature. The device exhibited small but finite hysteresis (Supplementary Fig. 30), likely due to the ambient molecules trapped at the C8-BTBT/Au interface. The hysteresis could be minimized by optimizing the deposition process of the top electrode. Another device with thicker C8-BTBT showed on/off ratio ~106 at room temperature (Supplementary Fig. 31). The devices exhibited diode-like rectifying behaviour similar to graphene barristors25,26, indicating different conduction mechanisms for the two bias polarities. Considering the energy of the highest occupied molecular orbital (HOMO) and lowest unoccupied molecular orbital (LUMO) of C8-BTBT was 5.39 eV and 1.55 eV, respectively27, the band diagrams under various bias conditions were drawn in Fig. 3c. Under forward bias, the charge transport was thermionic emission as reflected by the Arrhenius plot in the high temperature regime (Fig. 3d). In this regime, holes were thermally activated over a Schottky barrier ΦSB at the metal–semiconductor interface. ΦSB was found to decrease linearly with Vds1/2 (Fig. 3d inset) due to the image force as in conventional Schottky junctions28. The extrapolated ΦSB at zero Vds was ~140 meV, consistent with the work function of Au. As we changed the Fermi energy of graphene by sweeping Vg, the barrier width was altered to realize transistor switching (Fig. 3c) as in the case of Schottky-type carbon nanotube transistors29. The ultralow leakage current at the off state suggested the absence of pinholes in the crystal even on the graphene edges. Under reverse bias, the thermionic emission current became exponentially small, and the charge transport was dominated by tunnelling through the C8-BTBT layers. This was confirmed by the current insensitivity to temperature (Fig. 3b, Supplementary Fig. 31a–c) as expected for tunnelling mechanism22. The tunnelling current is very small because the orientation of the C8-BTBT molecules does not favour vertical charge transport. Therefore the vertical transistors are suitable for low-power applications.

Figure 3: Vertical OFETs based on graphene-C8-BTBT heterostructures.
figure 3

(a) Room temperature Jds−Vg characteristics of a device with ~15 nm thick (5-layer) C8-BTBT. From top to bottom, Vds=2 V and 1 V, respectively. (b) Room temperature Jds−Vds characteristics of the same device in a. From top to bottom, Vg=−100 V, −90 V, −80 V, −70 V and 0 V, respectively. Inset shows the device schematics. The source (S), drain (D) and gate (G) terminals are marked. (c) Energy band diagrams of the vertical OFET under various bias conditions. The band diagram under Vds=0 and Vg=0 is plotted in Supplementary Fig. 29. (d) Arrhenius plot (symbols) of normalized Jds of the same device in a under Vg=−100 V. From top to bottom, Vds=2 V, 1.6 V, 1.2 V and 0.8 V, respectively. The plot clearly shows two regimes: thermionic emission at high temperatures and tunnelling at low temperatures. Lines are theoretical fittings of the thermionic emission current. The extracted ΦSB are plotted in the inset as a function of Vds1/2 (symbols), with a linear fitting (line). (e,f) Output voltage levels of an AND (e) and OR (f) gate comprised two vertical diodes. The insets show the circuit diagrams. The pull-up resistor for the AND gate and the pull-down resistor for the OR gate are both 5 × 109 Ohms. During the operation of both logic gates, Vg=−100 V, Vdd=4 V.

We further demonstrated logic gates by integrating two vertical OFETs. For AND gate, we grew C8-BTBT crystals on two adjacent graphene as inputs, and connected them using a common top electrode as output (Fig. 3e inset). Either diode under forward bias (with a low input) would be closed with a much lower resistance than the pull-up resistor, therefore creating a low output. The gate showed excellent logic function, with the high and low output close to Vdd and 0, respectively (Fig. 3e). For OR gate, two top electrodes as inputs were deposited on C8-BTBT crystal grown on a single graphene as output (Fig. 3f inset). Either diode under forward bias (with a high input) would be closed with a much lower resistance than the pull-down resistor, therefore create a high output. The non-ideal output for (4, 0) and (0, 4) was due to the finite leakage current under reverse bias (Fig. 3f). More complex functionality can be realized with lithographic patterning.

Finally, we fabricated planar OFETs with 1L C8-BTBT crystals grown on insulating BN (Fig. 4, Supplementary Figs 32 and 33). Despite the monolayer thickness (~1.7 nm), the devices exhibited several features of ideal OFETs: linear IdsVg (Ids1/2Vg) characteristics in the linear (saturation) regime, linear IdsVds characteristics at low bias, and negligible hysteresis4. The room temperature peak field-effect mobility μ could reach up to ~10 cm2 V−1 s−1 (Fig. 4c ), much higher than previously reported values for monolayer OFETs (in the range of ~10−6−0.1 cm2 V−1 s−1; refs 30, 31, 32, 33, 34). Note that μ was underestimated due to contact resistance. Interestingly, μ was found to decrease after reaching a plateau as the carrier density gradually increased (Fig. 4c, Supplementary Fig. 33a) due to additional sources of scattering such as electron–electron interactions35. The drastic improvement of mobility indicated that the density of charge traps and grain boundaries was significantly reduced8. This was attributed to the pristine, ultrasmooth crystals and their weak coupling with the substrate, analogous to the case of graphene on BN15. The mobility was found to decrease slightly at low temperature in some of our devices (Supplementary Fig. 33c). The weak insulating behaviour pointed to finite density of charge traps9,11, which will be carefully analysed and improved in future works. The performance of monolayer C8-BTBT FETs was comparable to 2D atomic crystals such as MoS2 (refs 36, 37, 38, 39), but with a clear advantage of much lower synthesis temperature.

Figure 4: Planar OFET of monolayer C8-BTBT molecular crystals on BN.
figure 4

(a) Room temperature double-sweep Ids−Vg characteristics (Vds=−0.5 V), with little hysteresis. Black and blue lines are drawn in linear and log scales, respectively. (b) Ids−Vds characteristics of the device in a. From top to bottom, Vg=−10 V, −25 V, −30 V, −35 V and −40 V, respectively. Inset shows the optical microscopy image of the device. Scale bar, 16 μm. (c) The extracted μVg relationship at room temperature. The peak mobility is over 10 cm2 V−1 s−1 for this device.

Compared with bulk crystal devices12,13,14,40, the IdsVds characteristics in Fig. 4b exhibited two unique features: the absence of non-linearity at low bias and a complete saturation with extremely small saturation voltage (~1 V). Both features were direct consequence of the monolayer nature of the channel. The former appeared because the source/drain electrodes were in direct contact with the charge transport layer, leading to extremely efficient carrier injection. The latter was due to easy and complete channel pinch-off without interlayer screening effects41. With scaled dielectric thickness and other optimized device parameters, the operation voltage of these OFETs can be reduced to 1 V, which makes these devices compatible with silicon CMOS in circuit applications.

Discussion

In conclusion, we demonstrate that vdW epitaxy on 2D materials provides a viable approach to grow few-layer organic molecular crystals with pristine quality, monolayer thickness control and large-area processability for high-performance and low-cost logic device applications. Compared with the previous efforts to grow organic crystals on 2D materials26,40,42, our results truly demonstrate the advantage of this concept by proving the high quality of the interface.

Methods

Sample preparation and growth process of C8-BTBT crystals

We exfoliated graphene and BN on 285 nm SiO2/Si as growth substrate without further thermal treatment. The graphene substrates used in this work were monolayer unless otherwise stated. The graphene and BN were characterized by optical microscope, AFM and Raman spectroscopy before growth to obtain the thickness and topological information. For CVD graphene, we first grew the graphene on copper foils (Alfa Aesar) at 1,050 °C under 4 sccm CH4 and 200 sccm H2. With poly(methyl methacrylate) as a support layer, we transferred a 1 cm × 1 cm CVD graphene on to SiO2/Si substrate, followed by a thermal annealing at 300 °C in forming gas. The growth of C8-BTBT crystals was carried out in a home-built tube furnace. We put the source and sample in the quartz tube and used a turbo molecular pump to evacuate the quartz tube to ~4 × 10−6 Torr (Supplementary Fig. 1). The distance between source and sample was accurately measured each time to attain good reproducibility. We then heated up the C8-BTBT crystal to 100–120 °C to start the growth. In our experiment, the growth of C8-BTBT layers was mainly controlled by the source temperature and growth time. To achieve precise control of IL, 1L and 2L growth (for example, the samples in Fig. 1 and Supplementary Figs 5–8), the source temperature was 100 °C. The growth time to achieve uniform IL and 1L was approximately 15 and 30 min, respectively, but was sample dependent. For thicker C8-BTBT layers (for example, the samples in Fig. 3), the source temperature was 120 °C. To terminate the growth, we turned off the furnace and let the sample cool down to room temperature under high vacuum.

Characterization of the C8-BTBT crystals

Two types of AFM were performed in this work. For high-resolution AFM, the experiments were performed on an Asylum Cypher under ambient conditions with Asylum ARROW UHF AFM tips. To get sub-nanometre resolution, samples had to be ultra-flat. So we grew C8-BTBT crystals on thick graphite and BN for high-resolution AFM. In this case, the roughness of the substrate did not affect the sample. We did not observe any difference in C8-BTBT crystals grown on thick graphite and graphene in terms of the thickness and growth mode of each layer. For regular AFM, the experiments were performed on a Veeco Multimode 8 under ambient conditions.

Raman spectroscopy and mapping were performed on a WITec Alpha 300R confocal Raman system with a 532 nm laser excitation (spot size ~300 nm, laser power 1 mW).

Cross-polarized optical microscopy was performed on the same WITec Alpha 300R Raman microscope with white light illumination and × 50 objective. During the experiments, the laser notch filter was taken out and two cross-polarized linear polarizers were installed, one between illumination source and sample, the other between sample and detector. The images were acquired by scanning the sample. We integrated the spectrum from 520 to 550 nm to plot the images.

The STM study was carried out in a UNISOKU ultrahigh vacuum four-probe SPM. All STM measurements were performed at liquid-nitrogen temperature and the images were taken in a constant-current scanning mode. The STM tips were obtained by chemical etching from a wire of Pt (80%) Ir (20%) alloys. Lateral dimensions observed in the STM images were calibrated using a standard graphene lattice. For better substrate conductivity, the STM samples were prepared on monolayer CVD graphene grown on Cu foils. The samples were overall very flat with small corrugated areas and with some steps on the copper surface (Supplementary Figs 21 and 22). Since high-resolution STM scans were usually recorded in small areas ~100 nm2, the substrate roughness was very small and does not affect the STM measurement.

Details of DFT calculations

The DFT calculations were carried out within the framework of plane-wave DFT, implemented in the Vienna ab initio simulation package43. We employed the projector-augmented-wave potentials44 to describe the electron–ion interaction and the Perdew–Burke–Ernzerhof generalized gradient approximation (PBE-GGA) for exchange-correlation functional45. The effect of vdW interactions was described using the semiempirical correction scheme of Grimme, DFT-D2 (ref. 46). The kinetic energy cutoff of 400 eV was adopted for the plane-wave expansion and the Brillouin zone was sampled by the Monkhorst–Pack scheme. All atomic positions were fully optimized until the maximum Hellmann–Feynman forces acting on each atom was less than 0.02 eV Å−1.

Fabrication process of OFETs

For the vertical OFETs in Fig. 3, we started by exfoliating monolayer graphene on 285 nm SiO2/Si. We transferred a 100 nm thick Au electrode to contact part of the graphene as probing pad before growth of C8-BTBT crystals. Briefly, we pre-deposited 100 nm Au film on a glass slide. Then we used a tungsten probe tip attached to a micro manipulator to carefully pick up the Au film and transfer to the target location under microscope47. AFM was performed before and after growth to extract the thickness of the crystals. After growth of the crystal, another Au film was transferred as top electrode, which partly overlapped with graphene (but not with the bottom Au electrode). We used mechanical transfer to deposit the Au electrodes to avoid any residue introduced by lithography and any damage of the ultrathin C8-BTBT layers by vacuum deposition. Other than the growth, all other fabrication processes were carried out under ambient condition.

For the vertical OR gate, the fabrication was similar except that after growth, two separate Au films were used as inputs. The lateral separation between the Au electrodes (tens of micrometers) was three orders of magnitude larger than the separation between Au and bottom graphene (tens of nanometres), therefore the lateral charge transport was negligible. For the vertical AND gate, two adjacent monolayer graphene samples were identified after exfoliation. We transferred two Au electrodes, each contacting one of the graphene samples as probing pads. After growth, an Au film was transferred to overlap both graphene as common top electrode (but not with the bottom Au electrodes).

For the planar OFET in Fig. 4, we first exfoliated BN (with thickness normally <10 nm) on 285 nm SiO2/Si substrate. The growth of monolayer C8-BTBT crystal was carefully done by heating the source to 120 °C. AFM was performed before and after growth to extract the thickness of the crystals. Finally, two Au films were transferred on the top of the C8-BTBT crystal as source and drain electrodes.

Electrical measurements of FETs

Electrical measurements were carried out by an Agilent B1500 semiconductor parameter analyser in a close-cycle cryogenic probe station with base pressure ~10−5 Torr. The vertical transistors were annealed in vacuum at 120 °C before measurement to improve contacts, while the planar transistors did not need any annealing step.

Additional information

How to cite this article: He, D. et al. Two-dimensional quasi-freestanding molecular crystals for high-performance organic field-effect transistors. Nat. Commun. 5:5162 doi: 10.1038/ncomms6162 (2014).