Merohedral Disorder and Impurity Impacts on Superconductivity of Fullerenes
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ARTICLE https://doi.org/10.1038/s42005-021-00619-y OPEN Merohedral disorder and impurity impacts on superconductivity of fullerenes Shu-Ze Wang 1,5, Ming-Qiang Ren1,5, Sha Han1, Fang-Jun Cheng1, Xu-Cun Ma1,2, Qi-Kun Xue1,2,3,4 & ✉ Can-Li Song 1,2 Local quasiparticle states around impurities provide essential insight into the mechanism of unconventional superconductivity, especially when the candidate materials are proximate to an antiferromagnetic Mott-insulating phase. While such states have been reported in atom- based cuprates and iron-based compounds, they are unexplored in organic superconductors which feature tunable molecular orientation. Here we employ scanning tunneling microscopy 1234567890():,; and spectroscopy to reveal multiple forms of robustness of an exotic s-wave super- conductivity in epitaxial Rb3C60 films against merohedral disorder, non-magnetic single impurities and step edges at the atomic scale. Yu-Shiba-Rusinov (YSR) states, induced by deliberately incurred Fe adatoms that act as magnetic scatterers, have also been observed. The YSR bound states show abrupt spatial decay and vary in energy with the Fe adatom registry. These results and a doping-dependent study of superconductivity point towards local electron pairing in which the multiorbital electronic correlations and intramolecular phonons together drive the high-temperature superconductivity of doped fullerenes. 1 State Key Laboratory of Low-Dimensional Quantum Physics, Department of Physics, Tsinghua University, Beijing, China. 2 Frontier Science Center for Quantum Information, Beijing, China. 3 Beijing Academy of Quantum Information Sciences, Beijing, China. 4 Southern University of Science and Technology, ✉ Shenzhen, China. 5These authors contributed equally: Shu-Ze Wang, Ming-Qiang Ren. email: [email protected] COMMUNICATIONS PHYSICS | (2021) 4:114 | https://doi.org/10.1038/s42005-021-00619-y | www.nature.com/commsphys 1 ARTICLE COMMUNICATIONS PHYSICS | https://doi.org/10.1038/s42005-021-00619-y fi isorders, impurities in an otherwise homogeneous or every C60 is perpendicular to the surface. Speci cally, nanoscale Dgranular superconductor, are often undesired aliens domains with two distinct C60 orientations, related by 44.48° because they may hinder observations of intrinsic prop- rotation about the [111] axis (Fig. 1b), develop and are partially erties of the host material1–4. Yet, dopant impurities could also opacified in red and orange, respectively. This is reminiscent of be a double-edged sword by leading not only to emergent high- the two standard orientations of C60 that randomly occur and temperature (Tc) superconductivity in cuprates and iron cause merohedral disorder in face-centered cubic-structured tri- 5,6 28–30 pnictides but also to uncovering the underlying mechanism of valent fullerides . The C60 orientations are more disordered in unconventional superconductivity7–13, especially as multiple regions between adjacent merohedral domains. In order to unusual states are complexly intertwined in these materials14,15. quantify the merohedral disorder, the averaged orientational θ 39 θ = θ −θ Whereas it has been well documented that non-magnetic correlation functions <cos( ij)> , in which ij i j denotes impurities little affect Cooper pairs in conventional the angle between nearest-neighbor C60 molecules (i.e., i and j), superconductors16,17, they induce local bound states in the are calculated and summarized in Fig. 1c. The orientational superconducting gap (Δ) and suppress superconductivity via pair correlation decreases with alkali metal radius, indicating breaking for unconventional pairing symmetries, for example, in increasing merohedral disorder. This most probably arises from a 8,17–20 a d-wave or s± wave superconductor . Recently, anomalous weakening of Coulomb repulsion between adjacent trivalent C60 enhancement of superconductivity by disorder is another ions associated with the lattice expansion40, which otherwise 37 example of impurities revealing their fundamental significance stabilizes a long-ranged merohedral order in the K3C60 films ,to 21–24 θ = fi for low-dimensional superconductors .Itistherefore wit <cos( ij)> 1. For a speci cK3C60 or Rb3C60 compound, it tempting to consider impurities as a blessing in disguise to unveil turns out that the orientational correlation and thus merohedral the physics of candidate superconductors4–20,tostrivefor disorder change little with the film thickness (Supplementary Δ optimal superconductivity with Tc and reaching their respec- Figure 1). tive maxima25, and to create exotic electronic states that never Tunneling spectroscopy of fullerides probes the local density of emerge from pure superconducting systems26. quasiparticle states (DOS) and measures the superconducting Unlike atom-based superconductors, an organic super- energy gap at the Fermi level (EF). In Fig. 1d, we compare fi conductor is a synthetic molecule-based compound that uniquely tunneling dI/dV spectra on various trivalent fulleride lms A3C60 exhibits additional degrees of freedom related to its molecular (A = K, Rb, Cs) with the same thickness of 9 ML. Although two orientation. Consequently, inequivalent molecular orientations sharp DOS peaks develop ~−0.4 eV and 0.1 eV in the merohed- fi 37 take place. Such orientational (merohedral) disorder has been rally ordered K3C60 lms , they are largely smoothed out in both 27,28 seen early in pure and doped fullerenes , but its impact, either Rb3C60 and RbCs2C60 with the great merohedral disorder. This harmful29,30 or irrelevant31,32, to superconductivity of fullerenes, observation is consistent with the theoretical calculation that the is highly controversial. In addition, the fullerides represent an merohedral disorder would blur t1u-derived DOS peaks in 41 unusual category of organic superconductors in which the mul- A3C60 . It is, however, worth noting that the low-lying DOS tiorbital electronic correlations and electron–phonon interactions width estimated as the spacing between the two conductance fi are both suggested to be signi cant to reach high-Tc minima below and above EF (>1.2 eV, see the two dashed lines in 33,34 fi superconductivity . Under this context, a systematic study of Fig. 1d) is signi cantly larger than the commonly argued t1u impurity effects on superconductivity of doped fullerenes would bandwidth of ∼0.5 eV41,42. Such a discrepancy might originate provide justification of the previously advocated s-wave pairing from the Jahn-Teller (JT) instabilities and Coulomb interactions symmetry35–37, as well as advance the understanding of the omitted by three-band first-principles calculations41,42.Incon- superconducting state. However, such an experiment is unex- sideration of JT-induced subband splitting and electronic correla- 34,43,44 plored and the roles played by magnetic and non-magnetic tions, the t1u bandwidth could be substantially increased impurities remain unknown in fulleride superconductors. and accords with our observation. A further enhancement of In this work, we use a molecular beam epitaxy (MBE) tech- electronic correlations U in the most expanded Cs3C60 films fi nique to grow epitaxial lms of rubidium (Rb)-doped fullerenes pushes the t1u-derived DOS toward higher energy and opens a with thickness and filling tunability, and probe the local quasi- Mott-insulating gap38, in contrast to the superconducting ground particle states in the vicinity of various impurities at the atomic state in K3C60 and Rb3C60 (Fig. 1d). scale by means of cryogenic scanning tunneling microscopy Despite nanoscale merohedral disorder, superconductivity fi (STM) and spectroscopy (STS). Distinct from the super- develops well in Rb3C60 lms. We unambiguously reveal this 37 conducting K3C60 films without merohedral disorder and the by measuring the spatial dependence of superconducting gaps at 38 fi insulating Cs3C60 ones with great merohedral disorder , mer- the atomic scale via STS, as exempli ed in Fig. 1e. Even on the ohedrally disordered Rb3C60 films are superconducting. This boundaries between adjacent merohedral domains, the super- allows for atomic-scale visualization of merohedral disorder conducting gaps exhibit clear coherence peaks (blue curves) and impact on superconductivity of fullerenes, which, together with a are immune to the local merohedral disorder (Fig. 1a). This is fi fi detailed STS study of magnetic and non-magnetic impurities, further con rmed in Cs and Rb co-doped RbCs2C60 lms, which shows that superconductivity of fullerenes is entirely consistent imprint a comparably large merohedral disorder but exhibit a = with local s-wave pairing. By studying the thickness and electron- superconducting transition temperature up to Tc 23 K (Sup- fi Δ lling dependence of superconducting gap in RbxC60, we fur- plementary Figure 2). Nevertheless, the superconducting spectra ther establish a unified phase diagram of fullerenes in which the present some spatial electronic inhomogeneities, especially for fi = fi optimal superconductivity always develops at half- lling (x 3). the coherence peaks. A careful examination of Rb3C60 lms at varied thicknesses and spatial locations reveals that the coherence peak amplitude scales inversely with Δ (Supplemen- Results tary Figure 3). This is unexpected by the conventional wisdom of Merohedral disorder and its impact on superconductivity. Bardeen-Cooper-Schrieffer (BCS) picture, and we ascribe to Figure 1a depicts a representative STM topography of nine coexistence of competing order, e.g., the ubiquitous pseudogap fi 37 monolayer