Abstract
Itinerant kagome lattice magnets exhibit many novel correlated and topological quantum electronic states with broken time-reversal symmetry. Superconductivity, however, has not been observed in this class of materials, presenting a roadblock in a promising path toward topological superconductivity. Here, we report that novel superconductivity can emerge at the interface of kagome Chern magnet TbMn6Sn6 and metal heterostructures when elemental metallic thin films are deposited on either the top (001) surface or the side surfaces. Superconductivity is also successfully induced and systematically studied by using various types of metallic tips on different TbMn6Sn6 surfaces in point-contact measurements. The anisotropy of the superconducting upper critical field suggests that the emergent superconductivity is quasi-two-dimensional. Remarkably, the interface superconductor couples to the magnetic order of the kagome metal and exhibits a hysteretic magnetoresistance in the superconducting states. Taking into account the spin-orbit coupling, the observed interface superconductivity can be a surprising and more realistic realization of the p-wave topological superconductors theoretically proposed for two-dimensional semiconductors proximity-coupled to s-wave superconductors and insulating ferromagnets. Our findings of robust superconductivity in topological-Chern-magnet/metal heterostructures offer a new direction for investigating spin-triplet pairing and topological superconductivity.
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Introduction
The heterostructure interface between two different materials has become a frontier to generate and investigate emergent quantum phases1,2,3,4,5,6,7,8,9,10,11,12 such as the quantum Hall effect12 and novel superconductivity1,2,3,4,5,6,7,8,9,10,11. In the heterostructures formed by topological materials, the superconducting state may inherit topological properties and show great potential for non-Abelian defect excitations for topological fault-tolerant quantum computation2,13,14,15,16,17.
The kagome magnet TbMn6Sn6 has recently been discovered to have Chern-gapped Dirac fermions with dissipationless chiral edge states, coexisting with ferrimagnetism below 423 K18. Thus, the long-sought-after time-reversal symmetry (TRS) broken spin-triplet superconducting state19,20,21,22 and topological superconductivity14,15,23,24,25,26,27 would potentially be realized if TbMn6Sn6 exhibited a superconducting ground state. However, superconductivity has so far not been observed in TbMn6Sn6 and other itinerant kagome magnets.
In this work, we report the emergent superconductivity at the interface between TbMn6Sn6 and non-superconducting metals. After depositing metallic films (paramagnetic metal: Au and Ag, ferromagnetic metal: Ni) on the surfaces of TbMn6Sn6 single crystals, superconductivity is observed by standard transport measurements. The hysteretic behavior in the superconducting state suggests that the superconductivity is coupled with the magnetization of TbMn6Sn6. Furthermore, by pressing metallic tips (paramagnetic tips: PtIr, Au, Ag; ferromagnetic tip: Ni) onto the crystal surfaces of the samples, a superconducting phase inheriting the magnetic properties of TbMn6Sn6 is also induced and characterized by point-contact spectra (PCS). The structural and elemental mappings show the TbMn6Sn6 sample near the interface has a naturally formed degraded layer possessing polycrystalline TbMn6Sn6. Since TbMn6Sn6 is a magnetic Chern metal18, the broken TRS and emergent superconducting states at the interface make the TbMn6Sn6/metal heterostructure an ideal system to realize topological superconductivity26,27, which we demonstrate using a simple theoretical model.
Results
The transport and magnetic properties of TbMn6Sn6 samples
The high-quality TbMn6Sn6 single crystals are grown via a flux method18,28. The TbMn6Sn6 single crystals crystallize in a hexagonal structure with space group P6/mmm (see Supplementary Fig. 1) and show ferrimagnetic behavior below an ordering temperature ≈ 423 K18,28. The atomic and magnetic structures are shown in Fig. 1a. In a single unit cell, Mn atoms with out-of-plane magnetic order form two kagome layers, and one Tb atom with opposite magnetic moment locates between the two Mn layers. The temperature dependence of the normalized longitudinal resistance (R/R6K) of the TbMn6Sn6 sample is shown in Fig. 1b. The R/R6K-T curve exhibits a typically metallic behavior, and no extra features are detected at low temperatures (inset of Fig. 1b), consistent with early work18. The magnetic properties of TbMn6Sn6 are investigated by the electrical transport and magnetization measurements. As shown in Fig. 1c, the magnetization as a function of the magnetic field exhibits explicit hysteresis loops with a sizeable coercive field of about 1.8 T (at 2 K) when the magnetic field is applied along the c axis (perpendicular to the kagome layer). However, under the in-plane magnetic field, the magnetization shows linear magnetic field dependence (inset of Fig. 1c). The magnetization results show that the TbMn6Sn6 crystal has out-of-plane magnetic order, which is consistent with the previous report18. The anomalous Hall effect has also been detected by transport measurements (Fig. 1d).
The emergent superconductivity in TbMn6Sn6/metallic film heterostructures revealed by transport measurements
Surprisingly, when the (001) surface of the sample is capped with a 10 nm Au film, a significant resistance drop down to nearly 60% of R6K is observed at around 3.6 K (Fig. 2a). The drop in R/R6K-T curves is reminiscent of the superconducting transition. When the magnetic field is applied along the c axis, this drop weakens and finally disappears, confirming the emergence of superconductivity at the interface between the Au film and (001) surface of TbMn6Sn6. Even the magnetic Ni film deposited on the (001) surface of the sample shows superconducting signals with zero-field onset Tc ≈ 3.5 K (see Supplementary Fig. 2), close to that of heterostructures capped with the Au film. The observation of a similar superconducting state for both the magnetic Ni and the nonmagnetic Au capping films on the ferrimagnet TbMn6Sn6 substrate suggests that TRS is broken in the interface superconductivity.
The nature of the interface superconductivity is further studied by transport measurements when the side surface of the TbMn6Sn6 crystal is capped with a 10 nm Au film. Figure 2c shows one set of typical results obtained from a sample labeled s15. At zero magnetic field, the resistance drops down to less than 50% of R6K, which can be suppressed by external magnetic fields, showing the signature of superconductivity. To probe the interplay between magnetism and superconductivity, we characterize the magnetic anisotropy of TbMn6Sn6/Au. For the heterostructure formed by depositing the Au film on the (001) top surface of TbMn6Sn6, the magnetoresistance (MR) curves show hysteretic behavior when the magnetic field is perpendicular to the Au film (Fig. 2b, B | |c axis). However, the hysteresis in MR curves disappears when the Au film is capped on the side surface of TbMn6Sn6 (Fig. 2d) and the magnetic field is applied perpendicularly to the side surface (B⊥c axis). Remarkably, the hysteresis anisotropy observed in the interface superconducting phase of TbMn6Sn6/Au film heterostructure qualitatively follows that of the anisotropic magnetization in the non-superconducting bulk ferrimagnet TbMn6Sn6 (Fig. 1c). In addition, the resistance drop becomes more notable after the magnetization treatment on the TbMn6Sn6/Au heterostructure (Supplementary Fig. 3), indicating that magnetism is favorable for the formation of superconductivity. The ferromagnetic exchange coupling is known to frustrate the time-reversal invariant spin-singlet Cooper pairs and promote Cooper pairs having spin-triplet pairing symmetry29. It is thus natural to expect that the emergent interface superconductivity in the TbMn6Sn6/Au film heterostructure has at least a significant triplet-pairing (such as p-wave) component.
Furthermore, the anisotropy of the emergent superconductivity is revealed by angular-dependent transport measurements. As shown in Fig. 2e–f, a cusp-like peak is clearly observed in the angular dependence of the critical magnetic field Bc(θ) of TbMn6Sn6/Au heterostructure (s10), here θ is the angle between the magnetic field and c-axis of TbMn6Sn6 sample. The peak feature can be well fitted by the two-dimensional (2D) Tinkham model and deviates from the three-dimensional (3D) anisotropic mass model30, demonstrating quasi-2D superconductivity at the TbMn6Sn6/Au heterostructure. Moreover, the temperature dependence of the critical field, presented in Supplementary Figs. 4a and 4b, show the (Tc-T)1/2-dependence of Bc//(T) (magnetic field applied perpendicular to c-axis) and T-linear dependence of Bc⊥(T) (magnetic field applied along the c-axis) near Tc, respectively, which are also consistent with the phenomenological 2D Ginzburg-Landau (GL) model31. The quasi-2D superconductivity of the TbMn6Sn6/Au heterostructure further supports that the observed superconductivity is emergent at the interface between TbMn6Sn6 and deposited metal film.
To probe the robustness of the observed interface superconductivity, the (001) top surface of samples is coated with silver epoxy, and transport properties are measured in an applied magnetic field. As shown in Supplementary Fig. 5, the results of TbMn6Sn6/silver epoxy confirm the robustness of the emergent interface superconductivity between two non-superconducting partners, the topological Chern magnet and metallic films. A control experiment is further carried out to test the influence of the interface condition on the emergent superconductivity. The silver film is evaporated on TbMn6Sn6 by sputtering to form a TbMn6Sn6/Ag film heterostructure with a better interface than the TbMn6Sn6/silver epoxy heterostructure. As shown in Supplementary Fig. 6, the observed superconducting signal in TbMn6Sn6/Ag film heterostructure is more notable than that induced by the silver epoxy, indicating that good contact between the metallic film and TbMn6Sn6 is conducive to the formation of superconductivity. Due to the non-van der Waals nature of TbMn6Sn6 crystals, it is challenging to obtain a large area of atomic-level flat surfaces from the micrometer-scale TbMn6Sn6 single crystals. As a result, when depositing a metallic film onto the TbMn6Sn6 surface, it is difficult to achieve a uniform and consistent contact condition, which may lead to inhomogeneous superconductivity with non-zero residual resistance at low temperatures.
The emergent superconductivity in TbMn6Sn6/metal heterostructures confirmed by point-contact measurements
To further investigate the emergent superconductivity at the TbMn6Sn6/metal heterostructure, different metallic tips are used to carry out the point-contact (PC) measurements on TbMn6Sn6 samples in a cryogenic system. The main results of one typical PC state obtained by pressing a PtIr tip onto the (001) surface of the sample (s1) are shown in Fig. 3. Figure 3a shows the temperature dependence of the normalized PC resistance (R/R5K) with and without applying the magnetic field. The differential PC resistance (R) is obtained by using the standard lock-in technique in a quasi-four-electrode PC configuration (the inset of Fig. 3a). When the external magnetic field is zero, a resistance drop with a transition temperature of 3.4 K (blue curve) is observed, consistent with the standard four-electrode transport measurements for the superconducting TbMn6Sn6/Au film heterostructures (Fig. 2a). This PC resistance versus temperature curve seems to undergo a two-step transition, which may attribute to the different superconducting phases triggered by complex interfacial conditions in the contact region. The magnetic field of 3 T along the c axis can suppress the resistance drop (green curve in Fig. 3a), which further indicates the emergence of superconductivity at the interface between the PtIr tip and the (001) surface of TbMn6Sn6. The temperature and magnetic field evolutions of the PCS are presented in Fig. 3b and c, respectively. The PCS at 1.5 K (marked in Fig. 3b) shows clearly two conductance peaks at ±0.6 mV. For a PC, the two conductance peaks are usually taken as the hallmark of Andreev reflection processes at the interface between a normal metal and a superconductor32. With the increase of temperature or magnetic field, the two conductance peaks are gradually suppressed, consistent with the signature of weakening superconductivity, confirming the emergence of superconductivity at the TbMn6Sn6/PtIr tip PC interface.
Interestingly, the MR curve at 1.5 K (Fig. 3d) shows a notable hysteresis loop when applying the magnetic field along the TbMn6Sn6 c axis (B | |c axis). Furthermore, this hysteresis loop disappears when the magnetic field is applied along the in-plane direction (B⊥c axis), as shown in Supplementary Fig. 7. Thus, the MR curves show a similar magnetic anisotropy to the bulk ferrimagnetic TbMn6Sn6 (Fig. 1c) and TbMn6Sn6/metallic film heterostructure (Fig. 2), suggesting that the superconducting state in the PC configuration couples to the magnetization along the out-of-plane direction33,34 and thus breaks TRS, in agreement with the interface superconductivity in TbMn6Sn6/metallic film heterostructures discussed above (Fig. 2). We note in passing that the superconductivity can also be induced on the side surface of TbMn6Sn6 with PtIr tips. The results for one such PC can be found in Supplementary Fig. 8. Similar to the TbMn6Sn6/Ni film heterostructure (see Supplementary Fig. 2), the superconductivity is also successfully induced by using ferromagnetic Ni tips for PC on TbMn6Sn6. Related results and discussions can be referred to Supplementary Fig. 9, Fig. 10, and Text I.
To test the reproducibility of the experimental observations presented above, we have probed 92 PC positions and 170 PC states on the different surfaces of two TbMn6Sn6 samples from the same batch using various metallic tips, including PtIr, Au, Ni, and Ag (see Supplementary Fig. 11a). All these non-superconducting tips are found to induce superconductivity on either the top (001) or side surfaces of TbMn6Sn6. The statistics of Tc versus the tip materials (see Supplementary Fig. 11b) show no significant variations in the maximum Tc values, whether the tip materials are relatively hard (PtIr tip) or soft (Au tip), paramagnetic or ferromagnetic. These striking observations point to a universal and highly robust interface superconducting state in TbMn6Sn6/metal heterostructures.
The structural and elemental analyses of the interface of TbMn6Sn6/metal heterostructure
To get further insight into this emergent superconducting phase, the structural and elemental mappings have been performed in a high-resolution scanning transmission electron microscopy (STEM) system. The high-angle annular dark-field STEM (HAADF STEM) image of one typical TbMn6Sn6 single crystal is shown in Fig. 4a, which manifests a regular atomic stacking sequence along the c-axis of TbMn6Sn6. Figure 4b shows a STEM image of a heterostructure made by depositing 10 nm Au film on the (001) surface of TbMn6Sn6, where the interface superconductivity emerges. The top dark region is the carbon shielding layer, which is deposited during the thin lamellae preparation for STEM to prevent Au film from being damaged by the gallium ion beam. The bright stripe region in the middle of the image is the 10 nm thick Au film. The region just below the gold film (roughly marked by the dashed yellow rectangle) does not exhibit long-range ordered crystalline structures, but shows polycrystalline TbMn6Sn6 structure (Supplementary Text II and Fig. 13). In this work, this region is referred to the degraded TbMn6Sn6 layer. In the region a little far from the interface, the regular atomic interlayer stacking structure of TbMn6Sn6 is detected. The element distribution of the TbMn6Sn6/Au heterostructure can be revealed by the elemental mappings from the energy-dispersive X-ray spectroscopy (EDS). The blue stripe of the Au element distribution shown in Fig. 4c is consistent with the Au film region in Fig. 4b. The Mn and Tb shown in Figs. 4d and e are distributed in both the degraded and crystalline TbMn6Sn6 region. In Fig. 4f, the Sn element is relatively deficient in the degraded region near the interface compared to the regions with the regular TbMn6Sn6 atomic lattice, excluding the possibility of superconducting tin filamentary.
To further reveal the origin of the degraded layer, we also conducted STEM studies on as-grown TbMn6Sn6 samples. The results show that the tin-deficient degraded layer already exists in the as-grown samples, indicating the degraded layer is naturally formed near the surface of TbMn6Sn6 (Supplementary Text II and Fig. 14).
Discussion
In summary, we discovered emergent superconductivity at the interface of TbMn6Sn6/metal heterostructures formed by depositing the non-superconducting metallic thin films, such as the nonmagnetic Au and Ag, and ferromagnetic Ni, on the surfaces of ferrimagnetic TbMn6Sn6. The superconductivity is also evidenced at PC interfaces between TbMn6Sn6 and non-superconducting metallic tips, including ferromagnetic Ni tip. We found that the emergent superconductivity at the interface is quasi-2D and couples to the magnetization inherited from the magnetic order of TbMn6Sn6 and exhibits hysteretic magnetoresistance. These findings suggest the emergence of a quasi-2D time-reversal-symmetry-breaking superconducting state at the interface of TbMn6Sn6/metal heterostructures.
A plausible mechanism is that the carrier doping may take place near the interface and enable an emergent quasi-2D superconductor. Furthermore, near the interface, polycrystalline TbMn6Sn6 structures are revealed in the degraded layer by structural analyses (Supplementary Text II and Fig. 13). Consequently, the magnetization and strong spin-orbit coupling (SOC) from polycrystalline TbMn6Sn6 are expected to be inherited by the emergent interface superconductivity. As a result, the interface of the TbMn6Sn6/metal heterostructure contains, surprisingly, all the essential ingredients to generate chiral topological superconductivity, as proposed for 2D Rashba SOC semiconductors proximity coupled to an s-wave superconductor and a ferromagnetic insulator26,27, as illustrated in Fig. 5a. However, the theoretical proposal has not been realized presumably because the difficulty to meet the condition that proximity-induced superconductivity and ferromagnetism are coupled to each other in the semiconductor layer. These challenges are overcome in the TbMn6Sn6/metal heterostructures, since the quasi-2D superconductivity coupled with the magnetization and strong SOC are all established at the interface (Fig. 5b), thus providing a more realistic material platform for realizing chiral topological superconductivity. More specifically, the Rashba SOC leads to a pair of spin nondegenerate bands in the kx-ky plane (Fig. 5c). The exchange field from the degraded TbMn6Sn6 layer opens a Zeeman energy gap (E0) at the crossing point of these two bands at kx = ky = 0 as shown in Fig. 5d. The emergent interface superconductivity opens up a superconducting gap Δ in the outer band if the chemical potential μ is located in the gap E0. When the condition E0 > (μ2 + Δ2)1/2 is satisfied, the proposed effective chiral p-wave superconducting state26,27 can be realized at the interface of the TbMn6Sn6/metal heterostructures. We note in passing that although the direct evidence has not been found at the current stage, if the interface superconductivity takes place in the kagome layers, topological superconductivity can also arise, which is discussed using a theoretical model in the Supplementary Text III and IV for different effective exchange couplings. Our findings provide a new direction for studying the interplay of ferromagnetism and superconductivity at the interface of kagome magnet and metal heterostructures, and at the same time, uncover a material platform to pursue time-reversal symmetry-breaking topological superconductivity.
Methods
Electrical transport and magnetization measurements
The electrical transport measurements of longitudinal and Hall resistance were performed in a commercial physical property measurement system (PPMS, Quantum Design) by using the standard four-electrode method. Vibrating sample magnetometer (VSM) magnetization measurements were carried out in a commercial magnetic property measurement system (MPMS3, Quantum Design).
Cryogenic point contact measurements
The cryogenic point contact system contains the low-temperature platform and the PC system. The point contact is performed on the top stage of three-axis piezo stacks from Attocube by pressing sharp metallic tips onto the TbMn6Sn6 sample’s selected surface. The point-contact spectra are measured by using the standard lock-in method. The cryogenic circumstance is created by inserting the piezo stacks into the Leiden dilution refrigerator (CF450) with three-axis superconducting magnets (1 T/1 T/3 T). The lowest temperature used for the point contact experiments is 1.1 K in this work. More discussions of the point-contact Andreev-reflection spectroscopy can be found in Supplementary Text V in the Supplementary Information.
Single-crystal growth
High-quality single crystals of TbMn6Sn6 were prepared by using a self-tin-flux growth method. Terbium ingots, manganese pieces, and tin lumps with a molar ratio of 1:6:20 were packed into an alumina crucible blocked with a piece of quartz wool on the top, which was then sealed in a fused quartz ampoule under vacuum. The ampoule was heated to 1000 °C and kept for a few hours, then slowly cooled down to the centrifuging temperature of 600 °C. While hot, the ampoule was inverted and spun in a centrifuge, forcing the excess tin into the quartz wool located in the crucible. This method produced several hexagonal flat single crystals of millimeters in size. To ensure a clean surface, some samples are mechanically polished before measurements. For some large crystals with a size up to 2 mm × 2 mm × 0.5 mm, the fresh (001) surfaces are obtained by a mechanically cleaving process. All the clean side surfaces are obtained by the polishing process.
Scanning transmission electron microscopy (STEM) measurements
All the STEM samples were prepared by the focused ion beam (FIB, Helios G4) system. All samples were protected by depositing a 10 nm carbon layer in the LEICAEM ACE200 coating system before transferring them to the FIB system. Before the FIB treatment, a 2 μm carbon protection layer was further deposited under 30 kV, 0.1 nA experimental condition in the FIB system. Then, the samples were thinned using an accelerating voltage of 30 kV with a decreasing current from 240 to 50 pA, followed by a fine polish with an accelerating voltage of 2 kV with a current of 20 pA to reduce surface damage. A Titan Cubed Themis G2 double Cs-corrected scanning transmission electron microscope was used at 300 kV to obtain the HAADF STEM images and energy-dispersive X-ray spectroscopy (EDS) mappings with a probe-forming semi-angle of 30 mrad. The HAADF STEM images were acquired with a beam current of ~50 pA and a collection semi-angle snap in the range of 39–200 mrad, 145 mm camera length.
Sample treatment and film deposition
Before preparing the TbMn6Sn6/metallic film heterostructures, pre-treating processes were applied to the TbMn6Sn6 samples, including mechanically cleaving (Fig. 2a, b), surface polishing (Fig. 2c, d, Supplementary Figs. 2 and 5), or only ultrasonic cleaning by ethanol and acetone (Fig. 2e–f, Supplementary Figs. 4, 15 and 20). The TbMn6Sn6 samples used in TbMn6Sn6/Au heterostructure s7 and s8 are obtained by mechanically cleaving one TbMn6Sn6 crystal into two parts. Subsequently, the samples were transferred to the e-beam evaporation chamber of an LJUHV E-400L E-Beam Evaporator. The 10 nm-thick Au (or 8 nm-thick Ni) films were deposited onto the sample surface at room temperature by the standard e-beam evaporation method with the electron energy of 8 keV. The chamber pressure is lower than 2 × 10−6 Torr before deposition and was maintained below 4 × 10−6 Torr during the evaporation process. The purities of the commercial Au and Ni targets are 99.999%, and a deposition rate of 0.5 Å/s (0.3 Å/s) was achieved by focusing the electron beam on the Au (Ni) target. The fabrication processes of heterostructures s7 and s8 are identical. The 10-nm thick Ag film in Supplementary Fig. 6 was grown at room temperature by using the direct current (DC) reactive magnetron sputtering method with the MSP-3200 Magnetron Sputtering System. In the sputtering chamber, the Ag film (target impurity, 99.99%) was deposited onto the TbMn6Sn6 surface at a rate of 2.7 Å/s with an Ar gas pressure of 0.9 Pa.
Data availability
All data needed to evaluate the conclusions in the study are present in the paper and/or the Supplementary Information. The data that support the findings of this study are available from the corresponding authors upon request.
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Acknowledgements
We thank Ying Xing, Yi Liu, Jingmin Zhang, Jun Xu, Xuetao Di, and Pengfei Zhan for their help with the experiments. This work was financially supported by Beijing Natural Science Foundation [Z180010 (J.W.; H.W.)], National Key Research and Development Program of China [2018YFA0305600 (J.W.; S.J.), 2019YFA0308403 (H. Jiang)], National Natural Science Foundation of China [11888101 (J.W.)], the Innovation Program for Quantum Science and Technology [2021ZD0302403 (J.W.)], China Postdoctoral Science Foundation [2021M700253 (Y.L.)], U.S. Department of Energy, Basic Energy Sciences [DE-FG02-99ER45747 (Z.W.)], the Cottrell SEED Award from Research Corporation for Science Advancement [27856 (Z.W.)], Beijing Natural Science Foundation [1202005 (H.W.)], Capacity Building for Sci-Tech Innovation-Fundamental Scientific Research Funds [20530290057 (H.W.), KM202010028014 (H.W.)], Academy for Multidisciplinary Studies, Capital Normal University (H.W.).
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J.W. conceived and instructed the experiments. H.W. conducted cryogenic point contact experiments. Y.L. performed the transport measurements. M.G., H. Jiang, Z.W., and X.C.X. developed the theoretical models. X.G. and P.G. performed the TEM measurements. W.M. and S.J. grew the samples. H.W., Y.L., J.L., H. Ji, and J.G. fabricated the heterostructures. H.W., Y.L., and J.W. wrote the manuscript with theoretical input from M.G., H. Jiang, and Z.W.
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Wang, H., Liu, Y., Gong, M. et al. Emergent superconductivity in topological-kagome-magnet/metal heterostructures. Nat Commun 14, 6998 (2023). https://doi.org/10.1038/s41467-023-42779-1
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DOI: https://doi.org/10.1038/s41467-023-42779-1
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