Abstract
A subtle balance between competing interactions in iron-based superconductors (FeSCs) can be tipped by additional interfacial interactions in a heterostructure, often inducing exotic phases with unprecedented properties. Particularly when the proximity-coupled layer is magnetically active, rich phase diagrams are expected in FeSCs, but this has not been explored yet. Here, using high-accuracy 75As and 51V nuclear magnetic resonance measurements, we investigate an electronic phase that emerges in the FeAs layer below T 0 ~ 155 K of Sr2VO3FeAs, a naturally assembled heterostructure of an FeSC and a Mott-insulating vanadium oxide. We find that frustration of the otherwise dominant Fe stripe and V Neel fluctuations via interfacial coupling induces a charge/orbital order in the FeAs layers, without either static magnetism or broken C 4 symmetry, while suppressing the Neel antiferromagnetism in the SrVO3 layers. These findings demonstrate that the magnetic proximity coupling stabilizes a hidden order in FeSCs, which may also apply to other strongly correlated heterostructures.
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Introduction
In strongly correlated electron materials, including cuprates, transition metal oxides (TMOs), and iron-based superconductors (FeSCs), competing interactions of spin, charge, and orbital degrees of freedom lead to complex and rich phase diagrams, extremely sensitive to external perturbations. Especially impressive is the modification of the phase diagram via introducing interfacial interactions, as intensively studied for the heterostructures of high-T c cuprates1,2,3,4,5 or TMOs6,7, showing the enhanced T c or emergent phases that cannot be stabilized in their constituent layer alone. The similar effect has also been found in FeSCs, for example, in FeSe monolayers on top of nonmagnetic SrTiO3 8,9,10 showing drastically enhanced T c, arguably higher than 100 K. Although the underlying mechanism is yet to be confirmed, the interfacial coupling is considered to be critical and may further enhance T c in the superlattice11. Of particular interest is when the proximity-coupled layer is strongly correlated and magnetically active. As found in heterostructures of high-T c cuprates and magnetic TMOs3,4,5, additional interfacial spin interaction, e.g., in proximity of a Mott insulator, may also induce distinct ground states in FeSCs12, which however has not been explored so far.
Sr2VO3FeAs is an unusual naturally assembled superlattice of [SrFeAs]+1 and [SrVO3]−1 layers13. Initially Sr2VO3FeAs was thought to have, because of the V bands, an unusual Fermi surface topology, incompatible with s ± superconductivity scenario driven by spin fluctuation14. However, it was soon realized that the V 3d 2 electrons in the SrVO3 layer are strongly correlated and form a Mott-insulating state15,16,17, while the partially filled Fe 3d 6 state in the FeAs layer has considerable itinerancy and superconducts at T c ~ 35 K13,14,18. These contrasting ground states in Sr2VO3FeAs make this system prototypical for strongly correlated heterostructures based on FeSCs and TMOs. Sr2VO3FeAs has the Fermi surface structure similar to that in other FeSCs15,17, and thus is expected to show either the stripe antiferromagnetic (AFM) order with the wave vector Q = (π, 0), or the corresponding nematic phase, or enhanced spin fluctuations at low temperature with the same wave vector19. There is in fact a second-order transition observed at T 0 ~ 155 K with a sizable entropy loss of ~0.2Rln2 (R is the gas constant)20,21,22. With no evidence of a static magnetic order or another apparent symmetry breaking, the hidden nature of this phase transition, similar to the famous hidden order in underdoped cuprates or a heavy fermion system URu2Si2, remains elusive and controversial20,21,22,23,24,25,26, posing a challenge to our understanding of the physics of FeSCs in proximity of a Mott insulator.
Here we report that an emergent electronic phase is developed below T 0 = 155 K in Sr2VO3FeAs, which is highly distinct in nature from the transitions found in other FeSCs. Using high-accuracy 75As and 51V nuclear magnetic resonance (NMR) measurements on single crystals under various field orientations, we unambiguously show that the transition occurs in the FeAs layer, not the SrVO3 layer, without breaking either time reversal symmetry or the underlying tetragonal lattice symmetry. This implies that the typical stripe AFM and C 2 nematic phases in the FeAs layers as well as the Neel antiferromagnetism in the SrVO3 layer are significantly suppressed by the interfacial coupling between itinerant iron electrons and localized vanadium spins. We propose that the observed phase is a C 4-symmetric charge/orbital order, which to our knowledge has never been observed in iron or vanadium-based materials, triggered by frustration of the otherwise dominant Fe stripe and V Neel fluctuations. Such a strong modification of the ground state is not common in other strongly correlated TMO heterostructures3,4,5, which highlights that FeSCs, itinerant systems with complex interplay of spin/charge/orbital degrees of freedom, have competing ground states related to the Fermi surface instabilities, and thus are extremely sensitive to additional interfacial interactions in heterostructures.
Results
Transport and magnetic properties
Our transport and magnetic measurements on single crystalline Sr2VO3FeAs shown in Fig. 1b, c confirm that the transition at T 0 is intrinsic. A weak, but discernible, anomaly is observed at T 0 ~ 155 K in the resistivity (ρ), even more pronounced in its temperature derivative dρ/dT. The magnetic susceptibility χ(T) also shows an anomaly at T 0. Above T 0, χ(T) is several times larger than in typical FeSCs and follows the Curie–Weiss law with a Curie–Weiss temperature T CW ~ −100 K (see Supplementary Note 2). The effective magnetic moment is consistent with S = 1 expected for the V3+ ions (Fig. 1a), suggesting that χ(T) is dominated by localized V spins. At T 0 ~ 155 K, χ(T) for both H || ab and H || c exhibits a small jump, which corresponds to a magnetization of ~10−3 μB/f.u., three orders of magnitude smaller than typical values of V3+ ions (~1.8 μB) in vanadium oxides16 and Fe ions (~0.8 μB) in FeSCs27. Such weak anomalies in ρ(T) and χ(T), in contrast to a strong one in the specific heat20,21,22, question the previous conjectures of a long-range ordering of either V or Fe spins20,21,22,23,24,25,26, and suggest that this weak ferromagnetic response is only a side effect of the true transition. However, another anomaly at T N ~ 45 K in both χ ab (T) and χ c (T) turns out to reflect a long-range ordering of Fe, but still not V spins, as discussed below. Notably, neither transition is consistent with the typical stripe AFM or nematic orders for FeSCs.
75As and 51V NMR spectroscopy
To gain further insight into the transition at T 0 on a microscopic level, we measured NMR on 75As and 51V nuclei as a function of temperature for field orientations parallel to a (100), c (001), and the (110) directions (Fig. 2 and the Supplementary Fig. 4). The 51V probes the V spin order directly and the 75As is a proxy for the Fe sites, which allows us to probe the two magnetic ions separately. A dramatic change of the 75As line occurs near T 0 ~ 155 K as shown in Fig. 2a, consistent with the anomalies in ρ(T) and χ(T). Near 180 K, the 75As signal starts to lose its intensity rapidly and is not detectable between 150 and 170 K due to the shortening of the spin–spin relaxation time T 2 (ref. 26). Strikingly, the signal recovers below ~150 K at substantially higher frequencies, in a similar fashion for both field orientations. We emphasize that these behaviors of 75As NMR have never been observed so far in other FeSCs as clearly shown in Supplementary Fig. 5. This is better shown in terms of the Knight shift 75 \({\cal K}\) ≡ \(\left( {f - \nu _0} \right){\mathrm{/}}\nu _0\), where ν 0 ≡ γ n H with the nuclear gyromagnetic ratio γ n (see Fig. 2c). 75 \({\cal K}\) changes abruptly at T 0 ~ 155 K without any peak splitting or broadening of the full-width at half-maximum (FWHM) across T 0. Conversely, the 51V line barely shifts below T 0 and down to 20 K (Fig. 2b, d), while its FWHM gradually increases below T 0. The nearly unchanged 51V NMR line signals that the V spins remain disordered down to low temperatures. This contrasting behavior of the 75As and 51V spectra unambiguously proves that the transition at T 0 occurs in the FeAs layer and not in the SrVO3 layer, contrary to previous claims20,21,22,23,24,25.
Having established that the phase transition at T 0 occurs in the FeAs layer, we examined the low-energy Fe spin dynamics, as probed by the 75As spin–lattice relaxation rate \(T_1^{ - 1}\), which reflects local spin fluctuations. As shown in Fig. 3, at T ≳ 240 K, (T 1 T)−1 exhibits a typical Curie–Weiss-like behavior with an anisotropy \(T_{1,a}^{ - 1}{\mathrm{/}}T_{1,c}^{ - 1}\) ≈ 1.5. This is expected for a directionally disordered state with local stripe AFM correlations with Q = (π, 0) and has been observed in many FeSCs28,29 (see Supplementary Note 6). With lowering temperature, a critical slowdown of the (π, 0) spin fluctuations usually condenses into the C 2 stripe AFM phase. For Sr2VO3FeAs, however, this critical growth is arrested at T ~ 200 K, showing a broad peak of (T 1 T)−1 with an unusually large \(T_{1,a}^{ - 1}{\mathrm{/}}T_{1,c}^{ - 1}\) ≈ 6, and then the fluctuations harden all the way down to T 0. Across T 0, (T 1 T)−1 barely changes and then quickly reaches a constant below T 0, behaving as a paramagnetic metal. This completely unexpected behavior in both 75 \({\cal K}\) and (T 1 T)−1 confirms that the transition at T 0 in Sr2VO3FeAs is unlike any transitions observed in FeSCs so far.
Let us now discuss possible orders established below T 0. First of all, we can eliminate the usual suspects: stripe, double-Q 30,31,32,33, and bicollinear34 AFM orders, observed in other FeSCs. In the first case Q = (π, 0) and the Fe spins aligned along the a axis (s || a) generate a hyperfine field H hf ~ 1.5 T along the c axis. This would be visible in the 75As NMR spectra as a peak splitting of ~10 MHz for H || c, which is far larger than the FWHM of our spectra (~0.05 MHz) and easily detectable. Similarly, for s || c, an 75As peak splitting is expected for H || a. Even for s || b, in which case no transferred H hf and thus no peak splitting are expected, considerable line broadening due to the directional fluctuations of Fe spins should be seen in experiments. Neither splitting nor broadening is observed in our experiments (Fig. 2a). For the double-Q AFM state30,31,32,33, a combination of two spin density waves with Q = (π, 0) and (0, π), the magnetization vanishes at one of the two Fe sublattices and is staggered in the other. Thus, the 75As peak splitting is expected for either H || c (s || a) or H || a (s || c), as discussed in the Supplementary Note 5, which can be ruled out by experiments. The bicollinear AFM order34 can also be excluded with even more confidence. In this case, the As environment is spin-imbalanced (three neighboring Fe spins are aligned in one direction, and the fourth one in the opposite), and already a plain exchange coupling would generate two inequivalent As sites and thus a measurable splitting for any direction of external fields. Similarly, other AFM orders with more complicated spin structures, such as a plaquette AFM order, are excluded as discussed in the Supplementary Note 5. This conclusion is further supported by the absence of the diverging behavior in (T 1 T)−1 across T 0 (Fig. 3).
Having excluded static magnetic order, we consider now nematic or, as it is occasionally called, vestigial partners of various AFM orders. The only nematic order observed so far in FeSCs is the stripe-nematic order that creates an imbalance in the orbital population between Fe d xz and d yz states (Fig. 4b). This, in turn, induces an imbalance between As p x and p y orbitals and dipolar in-plane anisotropy of the As Knight shift in the twinned crystals, as observed in e.g., LaFeAsO for H || a below the nematic transition temperature29. A similar behavior is expected for the nematic partner of the bicollinear order (Fig. 4c), which breaks the C 4 symmetry such that the (110) and (1\({\bar{\mathrm 1}}\)0) directions are not equivalent35,36. If the generated imbalance between the corresponding orbital Fe-d xz ± d yz is of the same order as in the stripe-nematic case, a peak splitting for H || (110) should be detected. And, for the nematic partner of the plaquette magnetic order, two inequivalent sites and thus a sizable splitting are expected for every field direction. Yet, none of these signatures appear in our 75As spectra for H || a (100), c (001), and (110) directions (Fig. 2a, b and the Supplementary Fig. 4). Furthermore, our single-crystal X-ray diffraction (XRD) (see Supplementary Note 1) as well as the recent ARPES study17 do not reveal any signature of a C 4 symmetry breaking.
Since the transition at T 0 retains the C 4 symmetry, and in the absence of a long-range magnetic order, this transition must generate a change in the relative occupations of the C 4 orbitals, namely d xy , \(d_{z^2}\), \(d_{x^2 - y^2}\), and d xz ± id yz . Given that at high temperature we see clear indications of strong spin fluctuations, we looked for a spin-driven scenario conserving the C 4 symmetry; a good candidate is the vestigial (nematic) partner of the double-Q AFM order37. It can be visualized (Fig. 4d) as a superposition of two charge/orbital density waves with Q = (π, 0) and (0, π), which preserves the C 4 symmetry without unit-cell doubling. This phase has a broken translational symmetry in the Fe-only square lattice, but not in the unit cell doubled to include the As atoms37. Formation of the intra-unit-cell charge/orbital density wave affects the Fe–As hybridization and modifies the hyperfine coupling via isotropic Fermi-contact and core-polarization interactions, accounting for the nearly isotropic 75 \({\cal K}\) Knight shift (Fig. 2). One may note that due to dipole or orbital hyperfine interactions, the Knight shift can split for a field parallel to (110), because half of the As sites have paramagmetic neighbors along (110), and half along (1\({\bar{\mathrm 1}}\)0). However, the difference in the d orbital occupations between nonmagnetic and paramagnetic Fe are expected to be small, likely a few percent (see Supplementary Note 5), in which case the splitting will be below detection, consistent with our experiments.
If we assume a nonmagnetic origin, another plausible candidate could be an orbital-selective Mott transition. In this case, the most correlated Fe orbital state, likely d xy , experiences a Mott–Hubbard transition, becoming essentially gapped, while the other orbitals remain itinerant. The resulting occupation change in the d xy state of all Fe sites (Fig. 4e) uniformly changes the hyperfine field at the As sites, retaining the C 4 symmetry and explaining the nearly isotropic change of 75 \({\cal K}\) (Fig. 2). Indeed a possibility of such transition has been discussed, but, admittedly, not in undoped pnictides, but in more strongly correlated chalcogenides38 and (strongly underdoped) KFe2As2 39,40. We note that as compared to the orbital-selective Mott phase, the former vestigial double-Q phase breaks the additional translational symmetry, which may allow experimental distinction by neutron scattering when bigger crystals become available.
As mentioned, Sr2VO3FeAs experiences another transition at T N ≈ 45 K, which can be identified as a spin density wave highly distinct from the typical stripe AFM. Indeed, (T 1 T)−1 climbs sharply below 60 K (\(\ll T_0\)) for both H || a and H || c, indicating a critical slow-down of spin fluctuations toward a magnetic ordering at T N ~ 45 K. However, \(T_{1,a}^{ - 1}{\mathrm{/}}T_{1,c}^{ - 1}\) remains isotropic, suggesting that the coupling between Fe spins and As is due to hybridization, which can only generate a magnetic moment on As if As environment is spin-imbalanced. This excludes such AFM orders as stripe, Neel, or double-Q, but would be consistent with a longer period AFM order. Also the progressive broadening of 75As spectrum at low temperatures, as shown in Fig. 2a, c, suggests a long wavelength, and possibly incommensurate, spin density wave. Neutron diffraction23,24, which observed magnetic Bragg peaks at Q = (1/8, 1/8, 0) below T N ~ 45 K, is consistent with this conclusion, although it was incorrectly attributed to an ordering of V spins in the previous studies16,20,21,22,23,24,25. Upon further temperature lowering, (T 1 T)−1 abruptly drops at T c. This proves that the superconducting gap opens up on the magnetic Fe sites, and emerges on the background of the remaining, but still strong, spin fluctuations with a C 4 symmetry below T N. How spin density wave competes or cooperates with superconductivity remains an important question.
Discussion
We shall now address an essential question: what suppresses the expected stripe order in the FeAs layer and the Neel order in the SrVO3 layer? The former can be suppressed via the mechanism in which Neel-type spin fluctuations of the localized magnetic moments are coupled to the itinerant electrons’ stripe spin fluctuation12. The stripe order, with Q = (π, 0) or (0, π), is relatively fragile and can give way to bicollinear, double-Q, and, possibly, plaquette orders, due to AFM fluctuation with additional Q’s12,37,41. Such magnetic frustration is due to the long-range magnetic interactions, reflecting the itinerancy of Fe electrons. Fluctuation at Q = (π, π), normally weak in FeSCs, can be enhanced through coupling to the Q = (π, π) fluctuations of V spins12 (Fig. 4a). This destabilizes the C 2 stripe AFM or nematic orders, but encourages the C 4 symmetric vestigial charge/orbital density wave phases12,37. Note that in Sr2(Mg,Ti)O3FeAs and Ca2AlO3FeAs, isostructural compounds with nonmagnetic oxide layers, the standard stripe ordering is not suppressed42,43. Clearly additional Neel V spin fluctuations, frustrated with stripe Fe spin fluctuations via magnetic proximity coupling, are essential to stabilize an unusual hidden phase in Sr2VO3FeAs.
The coupling between the itinerant Fe electrons and the localized V spins also suppress the Neel order in the SrVO3 layer. In the SrVO3 layers, the nearest neighbor superexchange interaction would dominate and generate a stable Neel order. In fact, compared to other V3+ perovskite oxides, such as LaVO3, SrVO3FeAs should have stronger exchange coupling, because of the straighter V–O–V bonds. However, the measured Curie–Weiss temperature of T CW ~ −100 K in Sr2VO3FeAs is considerably lower than T CW ~ −700 K in LaVO3 44. The unexpectedly low T CW comes from an additional ferromagnetic coupling between the V spins via indirect double-exchange-like interaction mediated by the Fe electrons45. This frustrates and weakens the V AFM superexchange interaction suppressing the long-range V spin order at low temperatures. Indeed, in our detailed LDA + U calculations, we found that the calculated magnetic interaction is extremely sensitive to the on-site Coulomb energy U and the Hund’s coupling J (note that these corrections were only applied to V, and not to Fe orbitals). At U − J = 5 eV, the superexchange interaction, which is inversely proportional to U, is significantly suppressed, while the Fe-mediated one is enhanced, so that the net magnetic interaction becomes weakly ferromagnetic in the planes. For U − J = 4, it changes sign and becomes antiferromagnetic, consistent with a previous report16. This demonstrates that the SrVO3 lies on the borderline of competing phases due to a delicate balance between the superexchange and the additional indirect interactions. At the same time, coupling between the stripe fluctuations in the Fe plane at Q = (π, 0) and Neel fluctuations in the V plane Q = (π, π) suppresses both orders even further12 and prevents V spins form ordering. The interfacial Fe–V interaction is again crucial for the Mott-insulating SrVO3 layers to remain in a nearly paramagnetic ground state. Our findings therefore manifest that the physics of FeSCs can become even richer in the proximity of other correlated systems and also offer an avenue for exploring unusual ground state in the correlated heterostructures.
Methods
Crystal growth
Single crystals of Sr2VO3FeAs were grown using self-flux techniques as follows. The mixture of SrO, VO3, Fe, SrAs, and FeAs powders with a stoichiometry of Sr2VO3FeAs:FeAs = 1:2 were pressed into a pellet and sealed in an evacuated quartz tube under Ar atmosphere. The samples were heated to 1180 °C, held at this temperature for 80 h, cooled slowly first to 950 °C at a rate of 2 °C/h and then furnace-cooled. The plate-shaped single crystals were mechanically extracted from the flux. High crystallinity and stoichiometry are confirmed by the XRD and energy-dispersive spectroscopy. The typical size of the single crystals is 200 × 200 × 10 μm3.
Single crystal characterization
Single-crystal XRD patterns were taken using an STOE single crystal diffractometer with image plate. Single crystal XRD reveals a good crystallinity in a tetragonal structure with a = 3.9155(7) Å and c = 15.608(4) Å, consistent with the previous studies on polycrystalline samples. Detailed information about single crystal XRD can be found in the Supplementary Information.
Conventional four-probe resistance of single crystals was measured in a 14 T Physical Property Measurement System. Single-crystal magnetizations were measured in a 5 T Magnetic Property Measurement System. The size of one crystal was too small (~0.15 mg) to measure the magnetization, thus 8 pieces of Sr2VO3FeAs single crystals (1.2 mg) were stacked together. All single crystals were carefully aligned along the c-axis or the ab-plane.
These measurements further confirm the quality of our single crystals. In heterostructured compounds, antisite mixing, here between Fe and V atoms, is known to be detrimental to maintain their intrinsic properties. The As NMR line width and the superconducting transition width are particularly sensitive to the antisite mixing. In our crystals, we found that the As NMR line width is ~30 kHz at 280 K, comparable with typical values of ~5–40 kHz found in other single crystalline FeSCs. Also that the V NMR line width of our single crystal is ~50 kHz at 280 K, much smaller than ~160 kHz, observed in polycrystalline sample26. Furthermore we also found that the superconducting transition in our Sr2VO3FeAs single crystal has a sharper resistive transition with a temperature width of ΔT c ~ 3 K, than found in polycrystalline Sr2VO3FeAs whose ΔT c is typically larger than 5 K13. These observations consistently suggest that the antisite mixing, if any, cannot be sufficient to induce the observed unusual behavior in our Sr2VO3FeAs single crystal.
Nuclear magnetic resonance
51V (nuclear spin I = 7/2) NMR and 75As (I = 3/2) NMR measurements were carried out at external magnetic fields of 14.983 and 11.982 T, respectively. The sample was rotated using a goniometer for the exact alignment along the external field. The NMR spectra were acquired by a standard spin–echo technique with a typical π/2 pulse length 2–3 μs and the spin–lattice relaxation rate was obtained by a saturation method.
Band structure calculations
Band structure calculations were performed using two standard codes: an all-electron linearized augmented plane wave method implemented in the WIEN2k package46, and a pseudopotential VASP code47. In both cases the gradient-corrected functional of Perdew, Burke, and Ernzerhof was used, and special care was taken to ensure proper occupancy of V orbitals in the LDA + U calculations. LDA + U calculations are known to occasionally converge to metastable minima with incorrect orbital occupancy. Some calculations in the literature suffer from this problem. We ensured, by a proper selection of the starting configuration, that our calculations converge to the correct occupancy, and verified that by analyzing the calculated density of states for each independent run.
Data availability
All relevant data are available from the authors.
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Acknowledgements
The authors thank L. Boeri, R. Fernandes, S. Backes, R. Valenti, C. Kim, Y. K. Kim, J.-H. Lee, and K. H. Kim for fruitful discussion. This work was supported by the NRF through SRC (No. 2011-0030785) and MPK (No. 2016K1A4A4A01922028). The work at IFW Dresden has been supported by the Deutsche Forschungsgemeinschaft (Germany) via DFG Research Grants BA 4927/1-3 and the Priority Program SPP 1458. Financial support through the DFG Research Training Group GRK1621 is gratefully acknowledged. E.G.M was supported by the POSCO Science Fellowship of POSCO TJ Park Foundation and also NRF (No. 2017R1C1B2009176). I.M. acknowledges funding from the Office of Naval Research (ONR) through the Naval Research Laboratory’s Basic Research Program, and from the A. von Humboldt Foundation.
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J.S.K., J.M.O., and S.H.B. conceived the experiments. J.M.O. synthesized the samples. J.M.O. carried out the transport and magnetization measurements. S.H.B. and B.B. contributed to the NMR measurements and the analysis. C.H., R.K.K., S.Y.P., S.D.J., and J.H.P. contribute to single-crystal X-ray diffraction measurements. I.M., S.I.H., J.H.S., Y.B., and E.G.M. contributed to the theoretical calculations and the analysis. J.M.O., S.H.B., E.G.M., I.M., and J.S.K. co-wrote the manuscript. All authors discussed the results and commented on the paper.
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Ok, J.M., Baek, SH., Hoch, C. et al. Frustration-driven C 4 symmetric order in a naturally-heterostructured superconductor Sr2VO3FeAs. Nat Commun 8, 2167 (2017). https://doi.org/10.1038/s41467-017-02327-0
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DOI: https://doi.org/10.1038/s41467-017-02327-0
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