Capillary-gradient-mediated assembly of curvilinear polymer architectures. The capillary gradient is realized by employing programmable topographical templates with curvilinear micropillars fabricated by lithography and reactive-ion etching (Supplementary Fig. 1). The geometrical parameters of curvilinear micropillars include central angle θ, curvature radius R and inter-pillar distance G (Supplementary Fig. 2), which can be optimized to achieve scalable fabrication of high-quality curvilinear structures. Central angle θ was designed as 90o, 180o and 270o to accommodate the fabrication of curvilinear microstructures with different stretchability. Assembly of polymer structures were performed by confining a liquid thin film of precursor solution between a topographical template and a target substrate (see Supplementary Fig. 3 and Method). Through in situ fluorescence microscopy observations, a sequential dewetting process can be observed in confined liquid films: receding of liquid firstly occurs between the curvilinear micropillars, resulting in localization of liquid into inner arc to form discrete microreservoirs; with further evaporation of liquid, directional dewetting from microreservoirs to tops of micropillars yields pinned capillary bridges; finally, the confined growth of polymers in capillary bridges produces curvilinear microstructures (see Schematic illustration in Fig. 1a, b, Supplementary Fig. 3 and time sequential optical micrographs in Supplementary Fig. 4-6). This process is driven by the gradient of capillary pressure, which can be expressed as33,
where γ is surface tension of liquid, θY is the contact angle, d is the diameter of capillary tube. Driven by capillary pressure, liquid tends to concentrate in the position with a smaller capillary size (i.e. d) in evaporation process. By rationally designing the geometrical parameters of curvilinear micropillars, directional transport of liquid can occur from the gaps between micropillars to microreservoirs, which finally localize on the tops of micropillars to form capillary bridges. For the dewetting process from microreservoirs to the tops of micropillars, we observed near 100% formation of capillary bridges, which can be attributed to the large capillary-pressure contrast between the microreservoirs and capillary bridges. The height of microreservoirs is ca. 20 μm, while capillary bridges on the tops of micropillars feature a sub-micrometer height, yielding over 20-fold higher capillary pressure in capillary bridges. The lattice Boltzmann method (LBM) simulations also validate the directional liquid transport from microreservoirs to capillary bridges (Supplementary Fig. 7).
Successful liquid dewetting from inter-micropillar gaps to microreservoirs is crucial for the uniformity of as-prepared polymer microstructures at long range. Efficient trapping of liquid in microreservoirs enables nearly equivalent liquid volume and mass of polymer molecules at each arc (Fig. 1d, e), resulting in polymer microstructures with homogeneous size (Fig. 1f). In contrast, a broad size distribution of polymer microstructures can be observed in the system without trapping of liquid in microreservoirs (Supplementary Fig. 8), which is caused by the fluctuation of polymer concentration in dewetting process. The concentration of polymers firstly increases with the evaporation of solvents and then sustain a saturated state with the deposition of polymer microstructures, which finally decreases with the exhaustion of polymers in solution.
Given that efficient trapping of liquid into microreservoirs is significant for the long-range uniformity of polymer microstructures, we carefully studied the liquid dewetting in curvilinear micropillars with different geometrical parameters by experimental observations and computational fluidic dynamics (CFD) simulations. The dewetting dynamics were observed in micropillars with central angle θ of 90o,180o and 270o, curvature radius of arc from 5 to 100 μm and interpillar distance from 5 to 20 μm (Supplementary Fig. 9, 10). According to the criteria of trapped liquid in microreservoirs, the dewetting results are summarized in Figure 1c. These results indicate that increased interpillar gap distance G and decreased curvature radius R benefit the trapping of liquid into microreservoirs (Fig. 1c), which can be understood as high local capillary pressure in microreservoir region steers the liquid trapping. To develop better understanding to this trapping process, CFD simulations were carried out (Supplementary Fig. 11, Supplementary Movie 1). According to our analysis, liquid trapping occurs when the length of liquid front, which is proportional to interpillar gap distance G, is larger than the opening distance of curvilinear arc, which is a function of curvature radius R and central angle θ (see details in Supplementary Note 1). A threshold gap distance for liquid trapping can be calculated, shown as the solid lines in Figure 1c. The calculated threshold gap distance is proportional to the curvature radius R, which is well consistent with the experimental results.
By rational design of the micropillars, sequential dewetting from interpillar gaps via microreservoirs to capillary bridges boosts the large-scale fabrication of curvilinear polymer microstructures with long-range uniformity. A presentative semiconducting polymer, poly(3-hexylthiophene) (P3HT) were firstly employed to demonstrate the fabrication of curvilinear microstructures. As shown in scanning electron microscopy (SEM) images (Fig. 1f, Supplementary Fig. 12), the as-prepared P3HT curvilinear microstructures with different geometrical parameters exhibit homogeneous size and smooth surface. The long-range uniformity and reproducibility of curvilinear structures are demonstrated by optical micrographs with different magnification (Supplementary Fig. 13-15). AFM topography illustrates that a curvilinear microstructure exhibits uniform height of ca. 270 nm, width of ca. 600 nm and smooth top surface with low root mean square roughness of 0.436 nm (Fig. 1g). The crystallinity and crystallographic orientation of P3HT microstructures were determined by grazing-incidence wide angle X-ray scattering (GIWAXS) (Fig. 1h). GIWAXS pattern of P3HT curvilinear microstructures shows a series of rings along the qz axis, which can be assigned to the (h00) reflections of lamella layer structure. The diffraction ring lying on the qxy axis, corresponding to a facet with distance of 3.7 Å, can be attributed to the (010) reflections of π-π stacking34. This result indicates that the P3HT molecules exhibit a pure edge-on packing configuration with π-π stacking direction along the conductive channel, which benefits the charge-carrier transport in organic field-effect transistors (OFETs). In contrast, spin-coated thin films show small grains with disordered molecular packing and low crystallinity, which are reflected by the SEM image and GIWAXS pattern (Supplementary Fig. 16).
The curvilinear microstructures are also demonstrated on two additional conjugated polymers, p-type poly[2,5-bis(2-decyltetradecyl)pyrrolo[3,4-c]pyrrole-1,4(2H,5H)-dione-alt-5,5’-di(thiophen-2-yl)-2,2’-(E)-2-(2-(thiophen-2-yl)vinyl)thiophene] (PDVT-10) and n-type poly{[N,N’-bis(2-octyldodecyl)-naphthalene-1,4,5,8-bis(dicarboximide)-2,6-diyl]-alt-5,5’-(2,2’-bithiophene)} (P(NDI2OD-T2)). High-quality curvilinear microstructures with smooth surface and homogeneous size are demonstrated. High crystallinity is demonstrated by sharp diffraction rings in GIWAXS patterns (Supplementary Fig. 17). To precisely tune the size of the curvilinear structures, the influence of arc angle, arc radius and precursor concentration on the size of microstructures were investigated. The curvilinear microstructures with arc angle θ= 270o and radius from 5 to 100 μm are presented in Supplementary Fig. 18a. The size of the curvilinear microstructures is proportional to the volume of semiconducting polymer solution trapped in each microreservoir, which can be demonstrated by large width on the position with large microreservoir volume (Supplementary Fig. 18b). The width and height are proportional to the concentration of the precursor solution and radius of arc angle, which is demonstrated by theoretical analysis and experimental results (Supplementary Note 2, Supplementary Fig. 19). The width of microstructures can also be controlled by using micropillars with different widths (Supplementary Fig. 20).
Stretchability and electronic performance. To evaluate the stretchability, the curvilinear polymer microstructures were firstly fabricated onto a rigid substrate followed by transferring to stretchable polystyrene-block-poly(ethylene-ran-butylene)-block-polystyrene (SEBS) elastomer (see Method and schematics in Fig. 2a, Supplementary Fig. 21). The stretchability was firstly estimated by observing the morphology of P3HT curvilinear microstructures under different applied strains (Supplementary Fig. 22-24). For the curvilinear microstructures with central angle of 270o, no obvious cracks can be observed under 100% strain along both horizontal and vertical directions (Supplementary Fig. 24). The crack free microstructures under 100% strain are also validated by AFM images (Supplementary Fig. 25). In contrast, microstructures with central angle of 90o and 180o presents limited stretchability (Supplementary Fig. 22, 23). Spin-coated thin films and line-shaped microstructures experience serious damage under 100% strain (Supplementary Fig. 26). The limited stretchability is rationalized by the stress-strain curves, illustrating that the damage of a bulky P3HT belt occurs with strain below 40% (Supplementary Fig. 27). Finite element analysis (FEA) of curvilinear microstructures under 100% strain presents the spatial distribution of stress (Fig. 2b). The stress can be effectively released by deformation of curvilinear microstructures, yielding calculated stress below 10 MPa under 100% strain, which is well below the damage stress of ca. 20 MPa. These results demonstrate that the curvilinear microstructures endow exotic stretchability to the conjugated semiconducting polymers with limited intrinsic flexibility.
Electronic transport properties were measured by contacting with gold electrodes to form a OFET device with bottom-gate bottom-contact configuration (Fig. 2a, see Method for details). The curvilinear microstructures were fabricated based on three representative semiconductors, including n-type P(NDI2OD-T2), p-type P3HT and PDVT-10 (Fig. 2c, e, g). No crack and damage can be observed in these three polymer microstructures under 100% applied strain along horizontal and vertical directions (Fig. 2d, f, h), demonstrating considerable stretchability of these curvilinear microstructures. The electronic transport performances were measured to directly evaluate the stretchability of OFET devices based on curvilinear microstructures. By comparing the transfer curves of devices under different strains (Fig. i-k), the electronic transport is well preserved under 100% strain parallel and perpendicular to the channel direction. The primary mobility of PDVT-10 curvilinear microstructures is 4.3 cm2 V-1 s-1, which is high than 1.1 cm2 V-1 s-1 on spin-coated thin films (Supplementary Fig. 28). The 4-fold higher mobility in curvilinear microstructures can be attributed to the improved crystallinity and ordered molecular packing, which has been demonstrated by GIWAXS characterizations (Fig. 1h, Supplementary Fig. 17 and 28). Under 100% strain along and perpendicular to the channel direction, the mobilities of 2.6 and 2.1 cm2 V-1 s-1 can be realized in PDVT-10 curvilinear microstructures, respectively. For assembled straight PDVT-10 wires, a primary mobility of 3.9 cm2 V-1 s-1 can be achieved, whereas no electronic signal can be measured under 100% strain and 390-fold decrease of mobility occurs after the release of the strain (Supplementary Fig. 29), indicating serious damage of straight wires in stretch process. For P3HT, PDVT-10, P(NDI2OD-T2) curvilinear microstructures, over 40% preservation of mobility can be achieved under 100% strain (Fig. 2l-n), indicating the robust stretchability of these curvilinear microstructures.
Fully stretchable electronics based on curvilinear microstructures. The reliable stretchability of these curvilinear microstructures permits the construction of fully stretchable electronics. These flexible electronic devices with a top-gate top-contact configuration were fabricated by transferring PDVT-10 curvilinear structures onto SEBS elastomer followed by coating with SEBS and stretchable carbon nanotubes (CNTs) as flexible gate dielectrics and electrodes, respectively (Supplementary Fig. 21, 31, see Method for detailed discussion). The optical micrographs demonstrate the successful transfer of curvilinear microstructures onto SEBS substrate and the AFM image illustrate the high quality of patterned SEBS dielectrics (Supplementary Fig. 31c). 112 fully stretchable OFETs can be fabricated onto SEBS substrate (Fig. 3b) and a zoom-in optical image presents the alignment of semiconducting curvilinear microstructures, CNT electrodes and SEBS gate dielectrics (Fig. 3c). As shown in Fig. 3d, this fully stretchable OFET shows a primary carrier mobility of 2.1 cm2 V−1 s−1 and an on-off ratio of 104. The electronic performance is well preserved under 100% strain parallel and perpendicular to the channel direction. By statistics of 40 devices, an average mobility of 1.5 cm2 V−1 s−1 can be achieved based on this fully stretchable configuration (Fig. 3e). To evaluate the stretchability, the OFET device was measured under cyclic stretch and release with maximum strain of 50%. The OFET presents 92% preservation of mobility after 1000 cycles (Fig. 3f, Supplementary Fig. 32), indicating the robustness of the stretchability.
The scalable fabrication of curvilinear microstructures, dielectrics and CNT electrodes also allows for the construction of large-area device arrays for wearable electronics. 2000 stretchable OFETs were fabricated onto SEBS substrate in an area of ca. 2×2 cm2 (Supplementary Fig. 33) and these device arrays are stable under 100% strain (Supplementary Fig. 34). These OFET arrays can serve as wearable electronic devices due to the its fully stretchable nature (Supplementary Fig. 35). Due to the scalable fabrication techniques, fully stretchable logic circuits can be constructed based on curvilinear microstructures. A NAND logic gate was fabricated by connecting six OFETs (Fig. 3g, Supplementary Fig. 36). By sweeping the two inputs VA and VB, a low output voltage of near zero can be observed only when the two inputs are at high voltage of 30 V, indicating the NAND logic function (Fig. 3i). Stretchable semiconducting channels, gate dielectrics and CNT electrodes enable logic function under 100% strain (Fig. 3h, i). Due to the curvilinear microstructures with long-range uniformity and high ordered molecular packing, scalable integration of stretchable electronic device arrays is realized based on semiconducting polymers. Compared to previous reports, our methodology provides an approach to overcomes the trade-offs between electronic performance, stretchability and scalability (Supplementary Table 1).
Wafer-scale uniformity and deterministic patterning. Given that the sequential dewetting and efficient trapping of liquid in microreservoirs permit the fabrication of long-range uniform curvilinear structures, we sought to demonstrate wafer-scale fabrication of stretchable polymer microstructures. Fig. 4a shows curvilinear structures fabricated onto 4-inch silicon wafer. To evaluate the long-range uniformity, we measured both geometric and electronic-transport figures of merits across 21 different positions on this wafer. Typical AFM images extracted from these 21 different positions show uniform width and height of curvilinear microstructures at long range (Fig. 4b). FETs were fabricated based on these curvilinear microstructures using a top-contact bottom-gate configuration and transfer curves extracted from ca. 4000 devices from these 21 positions illustrate narrow distribution of on and off currents (Fig. 4c). Based on these devices in different positions, figures of merit, including mobility, on-off ratio and threshold voltage were extracted. Spatial distribution profiles of height, width, mobility, on-off ratio and threshold voltage illustrates long-range uniformity and reproducibility of both geometric and electronic parameters across the 4-inch wafer (Fig. 4d-h). By statistics of these parameters, an average height of 74.0 ± 6.0 nm, width of 0.81 ± 0.09 μm, mobility of 3.3 ± 0.3 cm2 V-1 s-1, on-off ratio of (7.7 ± 1.3) × 106, and threshold voltage of -0.23 ± 0.05 V can be extracted. The narrow distributions of these parameters indicate high uniformity of these curvilinear microstructures in wafer scale.
This technique can be further extended to fabricate 2D curvilinear networks by rational design of templates. For instance, 2D meshes constructed by curvilinear wires with central angle of 180o and 270o can be successfully fabricated (Fig. 4i, j, Supplementary Fig. 37). This sequential dewetting strategy can be further employed to the fabrication of multi-order hierarchical fractal patterns (Fig. 4k). The sequential dewetting process is driven by capillary gradient, yielding homogeneous distribution of liquid into capillary bridges (Supplementary Fig. 38).