Here, we demonstrate a high-performance freestanding BST thermoelectric membrane on curved glass and flexible polyethylene terephthalate (PETE) (Supplementary Fig. 1), in which the vdWE BST thin films grown by pulsed laser deposition (PLD) method are intactly separated from sapphire substrate and transferred onto various supporters using chemical lift-off technique (Fig. 1). First, we prepared vdWE BST thin film on the sapphire substrate by spontaneous vdW epitaxy25. As highlighted, the in-situ formation of pseudomorphic Te monolayer on the surface of sapphire substrate is the key in the growth of VdWE BST thin films, allowing the weak vdW bonding between the Te monolayer and the outermost Te atomic layer of the Te-Bi/Sb-Te-Bi/Sb-Te quintuple layer (Fig. 1a). Importantly, this diminishes a strong clamping effect between film and substrate in the growth of heterogeneous epitaxial films and promises an easy exfoliation by chemical etching of the Te monolayer or mechanical peeling-off technique using scotch tape. While the latter mechanical method requires a special process such as thermal heating and additional metal layer deposition, the former can allow the selective etching of Te monolayer in a dilute HF solvent. For preserving the epitaxial BST thin film during the chemical etching of the sacrificial Te monolayer, approximately 100 nm thick polymethyl methacrylate (PMMA) was spin-coated on the top of the BST thin film (Fig. 1b, c). When the etching is completed, the thin PMMA-capped BST film is exfoliated from sapphire (Supplementary Fig. 2) and becomes floating in the solvent. Once the BST film with PMMA overlayer is transferred onto other substrates, the PMMA overlayer is completely removed using acetone, IPA, and DI water. To verify the suggested concept and methodology for transferring vdWE BST films, SiO2/Si wafer, flat and curved glasses, and flexible polyethylene terephthalate (PETE) films were chosen for the destination substrates (Fig. 1e). A strong adhesion to the substrates was achieved by baking at 373–393 K, ending the whole procedures for creating the first freestanding thermoelectric membranes.
Benefiting from the sacrificial pseudomorphic Te monolayer, the crystallinity of epitaxial BST thin film can be maintained during the transfer as shown by the scanning electron microscopy (SEM) observations and X-ray diffraction (XRD) measurements (Fig. 2). SEM cross-sectional images clearly show that the nano-grained structure of epitaxial BST thin film is hardly damaged by the chemical etching (Fig. 2d–f). We conducted XRD f and w scans for the as-grown vdWE BST thin film on sapphire substrate and the transferred BST membranes on flat glass and flexible PETE (Fig. 2g–i and Supplementary Fig. 3). The f scans of (105) reflections for the all samples (Fig. 2g–i) exhibit a six-fold symmetry, indicating that the in-plane crystallinity of epitaxial BST thin film is well maintained in the transferred membranes on both flat glass and flexible PETE supports without any collapse of expitaxy. Except the diffraction peaks of substrates, all samples show only intense (00l) peaks of BST structure (Supplementary Fig. 2). Additionally, the w rocking curves of the (0015) peak (Supplementary Fig. 4), which show the decreased peak intensity and broadened FWHM of the transferred membranes on the curved glass and flexible PETE, implying that the out-of-plane crystallinity of the transferred membranes slightly degrades due to the inherent brittleness of inorganic BST alloy.
The crystallinity and composition of the transferred BST membranes are also examined by the high-resolution scanning transmission electron microscopy (HR-STEM). Figure 3a shows low magnification top-view high-angle annular dark field (HAADF) image of exfoliated BST membrane. The nano-domain structure is consistent with those observed in cross-sectional SEM images. Low magnification energy dispersive spectroscopy (EDS) analysis shows the Bi, Sb and Te elements are homogeneously distributed in the membrane, indicating that no impurity phase occurs during the chemical etching and transfer (Fig. 3b-e). Furthermore, cross-sectional image of transferred BST membrane on SiO2/Si wafer clearly evidences the intact transfer of epitaxial BST thin film, maintaining the layered structure with quintuple BST layers in the membrane (Fig. 3f, g). A high crystallinity of BST membrane is confirmed by the perfect Te(1)-Bi/Sb-Te(2)-Bi/Sb-Te(1) quintuple layers separated by vdW gaps along [00l] direction (Fig. 3g) and by the selected area electron diffraction (SAED) patterns along [001] and [120] zone axes (insets of Fig. 3a, f). Most of all, note that the pseudomorphic Te monolayer formed in the growth of vdWE BST thin film is completely removed by the chemical etching, showing no trace of Te monolayer on the SiO2/Si wafer (Fig. 3g, Supplementary Figs. 5 and 6 and Supplementary Note 1). Atomic-scale STEM-EDS mappings for constituent Bi, Sb and Te atoms also demonstrate that the quintuple layers are well-separated by vdW gaps along c-axis and typical atomic-scale defects such as Bi(Sb)/Te antisite defect are hardly found. These structural features, as represented by the nano-grained structure with a high crystallinity (Fig. 3a, b), give an expectation for a high power factor (PF) comparable to that of single crystal and a low thermal conductivity similar to the nanostructured BST bulk, enabling a high performance thermoelectric freestanding BST membrane.
Thermoelectric transport properties are measured along the in-plane direction for as-grown epitaxial BST films and transferred BST membranes at room temperature (Fig. 4). The room-temperature electrical conductivity (s) and Seebeck coefficient (S) values of as-grown epitaxial BST films are ranged in 1300–1700 S cm-1 and 140–170 mV K-1, respectively, resulting the PF of 3.0–4.0 mW m-1 K-2 at 300 K. The s values of the transferred membranes increased to ~1900 S cm-1 on flat glass and decreased to ~1100 S cm-1 on curved glass and ~1250 S cm-1 on flexible PETE (Fig. 4a). Accordingly, average room-temperature S values showed the trade-off relation (Fig. 4a). The average PF values were ranged in 2.5–3.4 mW m-1 K-2 for the transferred membranes (Fig. 4b). We have measured the out-of-plane thermal conductivity (kout) by using a conventional 2w method as shown in the inset of Fig. 4c. To estimate the in-plane thermal conductivity (kin), we used the reported anisotropy ratio of kin/kout in bulk single crystalline BST is ~2.027 for the as-grown films and transferred membranes owing to the high quality crystallinity. The kout and kin values of transferred membranes show the similar values with as-grown vdWE films. The estimated kin values are lower than that of bulk single crystalline BST due to the nano-gained structure. In-plane lattice thermal conductivity (kL,in) for as-grown films and transferred membranes on flat and curved glass substrates were calculated by subtracting the electronic part from kin (see Supplementary Note 2 and Supplementary Fig. 7 for details). The kL,in values for all the films and membranes are ~0.4 W m-1 K-1, which is slightly higher than that (~0.3 W m-1 K-1) of nanostructured bulk BST with the high-density dislocation array at grain-boundary28. This indicates that the in-plane thermal conduction suffers from the intensive phonon scattering at boundaries between nano-sized mosaic domains as shown in Fig. 3a, b. The resultant thermoelectric figure of merit zT (= sS2T/k, where T is absolute temperature and k is the total thermal conductivity) values are shown in Fig. 4d with the reported zT values of Bi2Te3-based thin films for comparison. The in-plane zT values for as-grown epitaxial BST films are ranged in 1.0~1.6, which is comparable to that of state-of-the-art nanostructure bulk BST29 and is the highest value in the reported BST thin film6,22,30,31. Moreover, the estimated room-temperature zT values for the transferred BST membranes are comparable to those of zone melted BST ingots used in the commercialized modules32,33. These values are also comparable to those of high-performance BST thin films on the rigid substrates, proving the merit of present lift-off and transferring processes for the vdWE thin films. By considering the projected efficiency of 4.6% of the transferred membranes (see Supplementary Note 3 for details) when the cold- and hot-side temperature are 300 K and 350 K, respectively, the present work is promising for the diverse arbitrary thermoelectric devices.
Among the transferred membranes, we conducted the bending test of the membrane on flexible PETE (Fig. 5). From the original s, S and PF values of vdWE thin film as a reference, all transport parameters of the membrane on flexible PETE, its bended state with a radius of 15 mm and flattened state showed no obvious changes but slight decreases (Fig. 5b-d), which are mainly attributed to the decrease of s coming from the generation of structural microcracks (Supplementary Fig. 8). This unfavorable structural defect in the membrane is accelerated in the cyclic flexible bending tests. As shown in Fig. 5e–g, the S values upon bending cycles are almost unchanged while s values are largely degraded, leading to the loss of 40% of original PF at 100 bending cycles in a bending radius of ~10 mm. As observed microcracks in the bended membranes, a bending deformation creating a high density microcrack is responsible for the decreased performance in the membranes on flexible PETE. However, it is apparent that there is sustainable performance, which was found from the membranes on curved glass, strongly suggesting that the present millimeter-sized membranes are more appropriate for the application of curved surface of heat source rather than the flexible thermoelectric devices.