Kamerlingh Onnes’ astonishing 1911 discovery of ambient pressure superconductivity in mercury was the serendipitous result of his attempt to validate one of three very different theories that modeled the electrical resistance of metals at low temperature (Onnes, 1911). Since that time, scientists have searched for materials with ever higher transition temperatures driven both by curiosity and technological interests. Initially limited to the elements, the search for superconductivity eventually moved to exploration of binary compounds, which held sway into the 1970’s. The approach was very Edisonian in nature and limited by the lack of understanding regarding the mechanism. Phenomenological theories started to be developed about 25 years after the initial discovery of superconductivity. The London equations in 1935 described the Meissner effect (London and London, 1935) and were followed in 1950 with the Ginzburg-Landau thermodynamics theory that portrayed superconductivity as a phase transition with a complex order parameter, the phase of which is constant and describes a macroscopic superconducting quantum state (Ginzburg and Landau, 1950). It was not until 1957 that theory could begin to inform growth, when Bardeen, Cooper and Schrieffer put forward a microscopic theory of superconductivity (BCS) that invoked phonon interaction to establish electron pairing in a common condensate (Bardeen et al., 1957). The Migdal-Eliashberg theory subsequently provided an extension to the BCS theory (Eliashberg, 1960). For several decades it appeared that superconductivity was fully understood with the maximum critical temperature achieved being 22 K in Nb₃Ge (Gavaler, 1973). Then in 1976, B. Matthias (Matthias et al., 1963) developed a set of rules to assist in the discovery of new superconductors. They included but were not limited to favorable conditions found in high symmetry systems while avoiding magnetic elements, insulators, and oxygen. As growers sought alternate routes to higher transition temperature, the 1970’s and 1980’s saw the discovery of the heavy fermion systems such as UBe₁₃ and CeCu₂Si₂ as well as the molecular conductors; however, these materials were quickly overshadowed by the cuprates. At that time, Bednorz and Müller were specifically searching for the next high temperature superconductor in oxides exhibiting a strong Jahn-Teller effect (Bednorz and Müller, 1987). In 1986, as they attempted a growth of a specific Ba-La-Cu-O phase, they discovered within a larger growth a new LBCO phase with a superconducting transition of 35 K. The initial publication (Bednorz and Müller, 1986) that contained only zero field transport measurements and sparce critical current measurements was vigorously contested until several independent groups were able to reproduce the result within a short period of time. This triggered a worldwide race that led to the discovery of YBCO (Wu et al., 1987) with the first T _c above liquid nitrogen temperature.

The history of high pressure research is intimately intertwined with that of superconductivity. At the time when Kamerlingh Onnes and his highly skilled staff were developing novel cryogenic technology, P.W. Bridgman was laying the groundwork for new high pressure techniques. He was awarded the 1946 Nobel Prize in physics for his pioneering work. In the 1950’s and 1960’s the diamond anvil cell and the gasket (Bassett, 2009) were developed to reach even higher hydrostatic pressures. Their ease of use fostered the rapid growth of the high pressure community. In short order pressure was being used to tune or trigger the superconducting state. The highest T _c observed to date are found in materials under high pressure. For example, the record T _c of 166 K at 23 GPa was held for a couple of decades by the fluorinated cuprate Hg1223 (Monteverdea et al., 2004). In parallel efforts, many of the elements were subjected to pressure. Ca reached a T _c of 29 K when subjected to 216 GPa, the highest for any of the 55 superconducting elements (Sakata et al., 2011). Atomic hydrogen, predicted by Wigner and Huntington (Wigner and Huntington, 1935) in 1935 to be metallic at high pressures, holds great promise as a candidate for room temperature superconductivity and has driven the development of many megabar techniques. Ashcroft (1968) proposed in 1968 that atomic metallic hydrogen at sufficiently high density could be a very high T _c BCS superconductor. In view of the technical challenges to achieve the necessary pressures, Carlsson and Ashcroft (1983) later suggested alternative routes to effectively produce superconducting atomic hydrogen, including the incorporation of other elements (Eremets et al., 2003). Ashcroft (2004) later extended and recast the above considerations in terms of “chemical pre-compression,” a proposal in which H₂ molecules in dense structures might be expected to dissociate at pressures well below those required for pure hydrogen. Advances in crystal structure prediction methods then began to provide experimentalists specific hydrogen-rich targets for higher T _c BCS superconductors (Wang and Ma, 2014; Zurek and Grochala, 2015; Needs and Pickard, 2016; Zhang et al., 2017; Oganov et al., 2019; Semenok et al., 2020) while at the same time theoretical studies focused on understanding the superconducting mechanism (Tanaka et al., 2017; Heil et al., 2019; Liu et al., 2019; Quan et al., 2019; Wang et al., 2019; Errea et al., 2020; Flores-Livas et al., 2020). Notably, this effort led to the prediction (Duan et al., 2014; Li et al., 2014) and, independently, to the experimental discovery (Drozdov et al., 2014; Drozdov et al., 2015) of superconductivity in the H₃S system with a T _c of 203 K, including an isotope study that pointed to BCS behavior. Subsequent simulations of binary structures (Liu et al., 2017; Peng et al., 2017) have now guided the discovery of new hydrides with T _c approaching room temperature. The highest, LaH₁₀, has a critical temperature of 250–260 K and can be pushed to 282 K with thermal cycling that increases the pressure (Drozdov et al., 2019; Hemley et al., 2019; Somayazulu et al., 2019). Somewhat lower values of 227–262 K are reported for related YH₆/YH₉ phases (Troyan et al., 2021; Kong et al., 2021; Snider et al., 2020b). Within the hydrides, only the superconducting transitions in H₃S (Drozdov et al., 2015; Huang et al., 2019), YH₆ (Kong et al., 2021; Snider et al., 2020a; Troyan et al., 2021) and LaH₁₀ (Drozdov et al., 2019; Hemley et al., 2019; Somayazulu et al., 2019; Hong et al., 2020) have been experimentally reproduced by independent groups.

With the recent discovery of a 288 K ternary carbonaceous sulfur hydride superconductor (Snider et al., 2020a), what had once been proposed as a goal in and of itself, superconductivity at room temperature now appears to be the stepping off point for still higher transition temperatures. The structure and composition of several possible candidates for this system were determined by Bykova et al. (2021) and there is a possibility that this hydride is a product of C-doping of H₃S (Ge et al., 2020). Much like when the observation of superconductivity in cuprates led to a flurry of discoveries and engineering applications that pushed the critical temperatures in these materials from 40 to 166 K over the course of only a decade (Bednorz and Müller, 1986; Monteverdea et al., 2004), hydrogen-based materials also hold great promise. Early calculations predict that crystalline atomic metallic hydrogen (Ashcroft, 1968; Schneider and Stoll, 1971) has a T _c near room temperature at 500 GPa, which increases to 420 K above 3 TPa (McMahon et al., 2012). Other calculations predict that hydrogen could be a superconducting superfluid under comparable conditions (Babaev et al., 2004). With one study of binary hydrides indicating a maximum T _c in the vicinity of room temperatures at megabar pressures (Flores-Livas et al., 2020), there is now a focus on the possibility of higher critical temperatures in more chemically complex hydride systems. To this end, recent theoretical studies predict a T _c of 473 K in Li₂MgH₆ near 250 GPa (Sun et al., 2019). Thus, experimental access to the megabar regime opens a new chapter in the history of superconductivity by going through the same steps as the ambient pressure explorations, first by developing binary compounds, and now with the exploration of ternary and higher order materials.

The present work was motivated by a desire to extend the p-T-H phase diagram of previous measurements of the lanthanum-based superhydrides (Drozdov et al., 2019; Hemley et al., 2019; Somayazulu et al., 2019; Hong et al., 2020) to fields approaching 100 T. We also sought to examine lower pressure phases such as LaH₆ which are more experimentally accessible. In addition, we hoped to better understand the discrepancies in the values of T _c found in experiments in which LaH₁₀ superhydride was synthesized using ammonia borane (NH₃BH₃) as the hydrogen source (Hemley et al., 2019; Somayazulu et al., 2019; Hong et al., 2020). For this purpose, we developed metallic diamond anvil cells (DAC) designed for superhydride studies in DC magnetic fields that are also small enough to fit into pulsed magnets. Made from the hard, high bulk modulus, highly resistive, and non-magnetic superalloy NiCrAl to provide a mechanically stable DAC and limit the eddy-current heating, these DACs can be used to access temperatures down to 15 K in pulsed fields. The optical openings were sufficient to provide a multi-probe environment, which is crucial in these extreme condition studies that produce unique samples.

This design was coupled with robust Pt electrodes created by focused ion beam (FIB) techniques to withstand the extreme p-T conditions required to synthesize the superhydrides (Helm et al., 2020). We found that the La-based superhydride initially synthesized by laser-heating at 180 GPa had a reproducible T _c of 294 K. Most remarkably, subjecting the sample to subsequent thermal cycling shifted the T _c irreversibly to higher temperatures in a fortuitous progression that reached well above 500 K.

We loaded two diamond-anvil cells (DACs) with thin pieces of 99% La and ammonia borane (AB, NH₃BH₃), the hydrogen source and pressure medium (see Methods and Supplementary Information). Both cells were initially as identical as experimentally possible, with similar FIB-patterned electrodes on each endcap anvil and an MP35N gasket with cBN insert and AB on the piston’s anvil. The first cell (B002) was loaded at 180 GPa for LaH₁₀ synthesis, whereas the second cell (B003) was loaded at 160 GPa to generate the lower stoichiometry superhydride, LaH₆ (Figure 1). After loading, both cells presented electrical shorts between the gasket and the electrodes. Although this contributed to a non-zero resistance, we will show that the electrical circuit is viable for measuring superconducting transitions.

Both La samples were then laser-heated at the HPCAT beamline of the APS. The laser was rastered across the sample at discrete positions to promote the dissociation of AB into cBN and the hydrogen that reacted with the La (Supplementary Figure S5). The sample in B002 received about 45 productive laser pulses that coupled to the AB (Ø20 µm laser spot; 4 to 5 pulses at each of nine points on a 10 × 10 μm grid). The temperature profile of the laser spot falls to room temperature about 30 μm from the center of the spot; therefore, the metal portion of the gasket with an inner diameter of 300 µm is not heated. The synthesis for B003 was stopped prematurely after a few pulses (all at the same position) for fear that a catastrophic failure of the diamond anvils had occurred. This was found not to be the case. Rastering on a grid when using AB as a hydrogen source and pressure medium necessarily supports a pressure gradient across the sample as compared to liquid hydrogen and is not conducive to a homogeneous growth. This likely explains some of the observed features, especially the multiphase composition, non-zero resistance, and the resistivity background below the transition.

The electrical resistivity was then measured at NHMFL-Tallahassee, using a Quantum Design 16 T PPMS. Figure 2 shows the first cool down trace from 300 to 230 K for B002 using four of the six available electrodes. A resistance drop is evident at 294 K with no additional transition observed upon cooling to 230 K, the temperature range in which T _c has been previously observed for LaH_10±δ systems. As has been observed in other works on LaH₁₀ that used AB (Hemley et al., 2019; Somayazulu et al., 2019; Hong et al., 2020), we find a non-zero resistance below the transition and a background below the superconducting transition that can be attributed to hydrogen deficiency during the synthesis (Hong et al., 2020), impurities, grain boundaries, the inhomogeneous nature of the material that makes up the conductive pathway between the voltage taps, and a less than ideal electrical circuit. The latter also played a role in the discovery of superconductivity in S, B, Fe, and oxygen (Struzhkin et al., 1997; Eremets et al., 2001; Shimizu et al., 2001; Shimizu, 2018) at high pressure, where technical challenges forced the use of a quasi-4-probe method that, nonetheless, clearly indicated the presence of a superconducting transition at high pressure.

In an attempt to push above the superconducting state and into the normal state of the B002 sample, we subjected the sample to a series of thermal cycles at 0 T. Perhaps not surprisingly given similar results from other superhydride studies (Drozdov et al., 2014; Drozdov et al., 2015; Hemley et al., 2019; Somayazulu et al., 2019; Drozdov et al., 2019; Hong et al., 2020; Ahart et al., 2017), these successively higher temperature excursions drove the onset of the transition to higher and higher temperatures. These thermal excursions were temporarily halted at 390 K, is the maximum temperature available in the QD PPMS, to develop an H-T phase diagram for the 360 K material. Figure 3A shows the initial and final thermal excursions taken in the PPMS, with the final 0 T onset in T _c appearing near 357 K in this 2-phase superconductor with a combined T _c (90%/10%) width of approximately 5 K. At the base of these transitions we find a small impurity phase. To validate that the electrical circuit in B002 can be used to measure a superconducting sample, B002 and B003 DACs were cooled to 1.9 K. Both exhibit superconducting transitions (Figure 3B) attributed to one or more materials—unreacted La (Chen et al., 2020) and PtH (Scheler et al., 2011; Matsuoka et al., 2019). Both DACs have a non-zero resistance to the lowest temperature measured. The resistance of B003 is almost a factor of 10 higher than that of B002, which is most likely due to the difference in thickness of the two samples and the smaller surface area in contact with the electrodes present in B003. When subjected to small applied magnetic fields, these transitions shift according to what would be expected for a conventional superconductor (Figures 3C,D).

Four thermal cycles between 370 and 290 K were then performed at 0, 2, 10 and 16 T (Figure 4A) to develop an H-T phase diagram. The arrow on the cool down traces indicates the transition onset and is labeled T1. T2 is the approximate transition onset for the warmup curve but is poorly defined due to the evolving nature of the material with warming. Note that the transition in the warming curve for each field is lower in temperature than that found for cooling. Although it is possible that this is due to a lag between the thermometer and the sample, the hysteresis is most likely real as the temperature was swept at 0.2 K/min and the separation is different for each of the four fields. This is opposite to that found in the initial, laser-synthesized material (Figure 2).

A clear shift downward with applied field is observed for T2, shifting by 11 K between 0 and 16 T (Figure 4A). Assuming that the material is a conventional BCS superconductor, a fit of the data (Figure 4B) using the Ginzburg-Landau relation (Ginzburg and Landau, 1950) (Eq. 1): μ 0 H c ( T ) = μ 0 H c ( 0 ) ( 1 − ( T T c ) 2 ) Yields a H _c (0 K) of 2.0 (5) kT and 0.4 (1) kT for T1 and T2, respectively. The errors are large for H _c (0 K) as the measurements were performed over a limited field range given the magnitude of T _c . We identified a third transition, T3, which is the temperature at which the hysteresis of the cool down and warmup traces closes. For a type II superconductor, T3 could be interpreted as the melting of the vortex glass and can be fitted by an Almeida-de Thouless equation (Woch et al., 2016) (Eq. 2): H i r r = H i r r ( 0   K ) ( 1 − T T G ) n Where H_irr (0 K) is the irreversibility field of this glass transition at 0 K and T_G is the transition temperature at zero field. The fit shown uses n = 1.5, which is the theoretical value for the exponent for superconductor vortices.

To further investigate the shift in the superconducting transition with field, B002 was then measured in the 41.5 T DC resistive magnet at the NHMFL-Tallahassee. All six working electrodes were used in order to measure two resistance channels simultaneously. We present in the main text only the results from the same configuration as that measured in the PPMS, but the other configuration yielded a similar result (see Supplementary Figure S7). Successive thermal cycles carried out to yet higher temperatures in order to establish the clear signature of the normal state again resulted in a shift of the transition to higher temperatures. The stability of structural and electrically conductive epoxies internal to the DAC and a failed heater limited our measurements to temperatures below 580 K.

Figure 5 shows the cool down traces at 0 T starting from various initial maximum temperatures. The cell remained at each maximum temperature for at least 30 min to allow the synthesis to stabilize as indicated by a steady sample resistance, and was then cooled at 0.5 K/min. With each higher temperature excursion, T _c rises further, eventually reaching a maximum value of 556 K. The amplitude of the transition also increases with each excursion to higher temperatures, which we attribute to an ongoing chemical reaction. Shifts in transition temperature with repeated thermal cycling or laser heating have been documented for several superconducting hydrides (Drozdov et al., 2014; Drozdov et al., 2015; Ahart et al., 2017; Drozdov et al., 2019; Hemley et al., 2019; Somayazulu et al., 2019; Hong et al., 2020). The temperature dependence of the resistance below the transition is almost identical for all the curves, indicating that the various contributions to this background are not affected by this chemical reaction. Due to the evolving nature of the material at high temperatures brought on by these heating cycles, it was not possible to obtain a reliable H-T phase diagram for temperatures higher than 380 K (see Supplementary Figure S9).

Synchrotron X-ray diffraction measurements were carried out at the Extreme Conditions Beamline P02.2 at PETRA III (Liermann et al., 2015) in September 2020, 6 months after the laser synthesis that yielded the 294 K superconductor. The availability of a micro-focused, high energy X-ray beam (typically, 2 × 2 μm² focal spot at 42.9 keV or 0.2887 Å) with a large focal length is perfectly suited to interrogate the sample in the special non-magnetic cells used in our studies. The small opening angles (∼6° Q) both in the incident and exit directions and the insulating, low Z gasket (cBN in our case) and small amount of sample pose a challenge in collecting 2D diffraction maps and interpreting them effectively. Two dimensional maps at 3 μm spatial resolution resulted in 2,809 patterns being collected over the 1.5 × 1.5 mm² area depicted in Supplementary Figure S14. While we initially set out to examine all the patterns that pointed to the sample between the measuring electrodes (Supplementary Figure S6), we limited ourselves to the sample area at the highest pressures in both cells. Mainly, this was to ensure that we made use of the pressure estimated from diamond Raman which was in turn necessitated due to the fact that even at these high energies, we cannot reliably obtain diffraction from the electrodes which lie outside the transmission window subtended by the exit backing plate. Our discussion is therefore limited to what we can identify on the culet and bridging the relevant electrodes that allowed a four-probe conductivity measurement.

We can easily dispose B003, the cell that was measured to have a pressure of 162 (5) GPa Pressure was measured at the center of the 72 μm culet using the shift in the diamond 1st order Raman line using 532 nm 20 mW excitation. Independently, this was cross calibrated with the Pt diffraction. The difference in pressures so determined was estimated to be of the order +/- 5 GPa and consisting of the sample that did not couple to the heating laser during synthesis. In any laser heating experiment, a common issue is the insufficiency of the thermal buffer (especially at megabar pressures) which in turn impedes proper coupling to the IR laser. In our case, this is compounded by the fact that the thermal buffer is also the hydrogen source and therefore it is not surprising that resistivity measurements indicated a predominance of unreacted La (transition at 5 K). A systematic analysis of the diffraction patterns obtained from the area extending out to the electrodes (Supplementary Figure S6) shows only a few diffraction peaks that can be identified as follows (Figure 6).

Based on the analysis summarized in Figure 6, we can conclude that B003 consists of predominantly unreacted La at pressures below the R 3 ¯ m–Fmmm transition identified by Chen et al. (2020). Indeed, this is consistent with the resistivity measurements.

The case of B002 is richer. Resistivity measurements indicate a transition at 294 K that was followed by a monotonic increase in the transition temperature with every cycle of heating and cooling, implying a gradual change in the sample composition. The diffraction measurement is ex-situ and made at 300 K after the final thermal cycling presented earlier. A representative diffraction pattern obtained from the culet area is shown in Figure 7 and summarized in Table 1 (see Supplementary Figures S18–S20 for contour plots obtained from diffraction data that highlights the variation in sample composition).

As can be surmised from the residual plotted in Figure 7, the diffraction peaks do not have the same widths and the mixture of phases with different weights (indicative of different overall compositions) can be used to fit the whole pattern. As listed in the table, a total of five phases were identified. The presence of Fmmm La and fcc Pt is due to unreacted sample and underlying electrode, and fcc PtHx is also present. This latter phase and the fcc LaH_10-x with smaller peak widths indicate their origin to be due to laser heating and thereby reaction with the hydrogen source in close contact. The presence of rhombohedral LaH_10-x is surprising not only due to the complex admixture of this phase with the cubic phase (representative patterns are shown in Supplementary Figure S17), but also since these two phases have similar molar volumes. From a standpoint of the molar volume (derived by dividing the observed cell volume by 4 for the fcc phase and 3 for the R 3 ¯ m phase, see Table 1 and Figure 8), we have the following observations: 1) the cubic and rhombohedral phases of LaH_10-x have similar unit cell volumes that track close to LaH₈; 2) the volumes of Pt and unreacted (Fmmm) La track close to the expected volumes for 175 GPa (this was the pressure estimated from diamond Raman measured before and after synthesis using 532 nm excitation); and 3) while both the phases of LaH_10-x show volumes consistent with lower H stoichiometry, the volume of PtH_x (solid black circle in Figure 8) shows a stoichiometry consistent with PtH₈ which has not been reported earlier (Semerikova et al., 2020).

These observations allow us to conclude that the apparently lower hydrogen stoichiometry in LaH_10-x is not a result of hydrogen deficiency or an incomplete reaction, but rather a result of substitution of H in either/or both fcc and rhombohedral phases by some other ligand (most likely Pt, C, and/or BH₂). While this could be verified by recording the diffraction patterns progressively after each thermal cycle in the resistivity measurements, the current set of observations both in the XRD measurements and the transport measurements indicate these important conclusions: 1) B002, which was successfully laser heated at pressures above 170 GPa, shows a distinctly recognizable backbone fcc LaH_10-x structure consistent with the observed resistivity transition above 260 K in the first cooling cycle; 2) successive heating cycles (which progressed to higher temperatures) in B002 resulted in gradual chemical changes to this phase and resulted in a complex admixture of fcc and rhombohedral LaH_10-x having similar volumes; and 3) the observed synthesis of PtH_x (x ∼ 8, hitherto unreported in literature and in any of our earlier laser heating experiments) indicates that such a chemical reaction is due to the availability and proximity of the hydrogen source (unreacted ammonia borane) and this thermal cycling.

Indeed, recent simulations of doped LaH₁₀ have predicted such structures leading to higher transition temperatures (Liu et al., 2017; Boeri and Bachelet, 2019; Oganov et al., 2019; Otto, 2019) and this is consistent with the recently reported room temperature superconductivity in the C-S-H system (Snider et al., 2020b) wherein the doping of C in the SH₃ superconductor led to a rise in the transition temperature. While there is no X-ray diffraction data that could be used as a comparison from that particular set of experiments, theoretical simulations (Cui et al., 2020; Sun et al., 2020) indicate that there would be no large change in lattice symmetry. Recent diffraction data confirms this expectation (Bykova et al., 2021), but no transport measurements were made on the same samples, unlike our measurements reported in this paper.

We report the observation of a transition in the resistivity of a La-based superhydride beginning at room temperature that shifts up with thermal excursions to an onset value close to 560 K with a notable concomitant increase in the amplitude.

These high-temperature transitions have the characteristic features of superconductivity, and our X-ray data confirms the presence of both substituted Fm 3 ¯ m and R 3 ¯ m LaH_10-x. However, in the absence of Meissner effect measurements or shifts in the highest T _c with applied magnetic field that are at this time complicated by the ongoing chemical transformations taking place during the measurements, other interpretations must be examined.

First, we address the possibility of a transition from a low-temperature metal to high-temperature semi-metal or insulator. Transitions to insulating states occur with the opening of an energy gap in the Fermi surface, leading to an activated behaviour in resistivity. This is not observed.

Second, a metal-to-metal phase transition also needs to be ruled out. Such a transition could either arise from a magnetic or a structural phase transition. Magnetic phase transitions would be suppressed or smoothed by an external magnetic field; however, Supplementary Figure S9 shows rather a sharpening of the onset of the transition at 41 T. In our field sweeps at fixed temperatures below the transition, we see no anomalies.

Third, a high temperature structural phase transition can be ruled out as well. The loading and synthesis done for this work are similar to that used by Somayazulu et al. (2019), the latter which resulted in 260 K superconductor. We performed room temperature X-ray diffraction after the final 600 K excursion. This data, obtained well below the transition temperature in our material, finds both Fm 3 ¯ m and R 3 ¯ m LaH_10-x structures, the former being similar to the room temperature XRD data obtained by Somayazulu in the normal state on their binary LaH₁₀ superhydride. Thus, a structural phase transition is improbable.

Finally, one specific aspect that must be addressed is the process of thermal expansion at high pressure. All pressure cells will experience pressure changes as the temperature is varied. These thermal cycles often lead to permanent changes in the pressure due to mechanical relaxation. The pressure of B002 was measured only at room temperature, first in March 2020 after the synthesis at APS; then in July 2020 at ESRF after the thermal excursions that ultimately generated the 556 K transition (Supplementary Figure S13). Both measurements showed a maximum pressure at the center of the culet of 178 GPa. Analysis of our subsequent X-ray work confirmed this pressure. We do not know how the pressure varies with temperature in our DACs and no studies have been reported for similar designs. Studies on superconducting systems using controlled pressure changes (with increases substantially greater than thermal expansion effects) have yielded dTc/dp of 1.6 K/GPa for Hg1223 (Gao et al., 1994; Yamamoto et al., 2015), 1 K/GPa for the ternary superhydride C-S-H (Snider et al., 2020b), and a maximum of 8 K/GPa for optimally doped YBCO (Cyr-Choinière et al., 2018). For C-S-H, the initial T _c was about 150 K at 140 GPa, increasing to 288 K at 271 GPa. Here we observe a 2-fold increase in T _c of 260 K, which is difficult to explain by any mechanical change in the DAC that would allow the pressure to increase an amount sufficient to account for that change and then return to the same room temperature value after many thermal cycles. Most importantly, all the transitions observed were irreversible, and the pressure measured at room temperature during the initial synthesis and 6 months after the thermal cycles were completed remained the same. This argues in favour of a chemical reaction rather than temperature induced pressure changes pushing the transition up in temperature (Please see Supplementary Information S22 for additional discussions).

Finally, a transition in the metal portion of the gasket rather than sample can be completely ruled out as a similar transition has not been observed in the non-reacted cell B003 and the two DACs have nearly identical circuits and gaskets and are at comparable pressures. The inner diameter of the metal portion is captured between the anvils midway through the second bevel at 300 µm. As noted, at this distance from the location of the laser synthesis that took place on the culet, the temperature rise experienced by the gasket was negligible.

Therefore, we conclude that we have observed a superconducting transition in a metastable superhydride. The initial synthesis used the same ingredients and methods as those used by Somayazulu et al. (2019), and Hong et al. (2020), differing only in the electrodes and nuances introduced by the person loading the cell and carrying out the laser synthesis. The first resistance measurement carried out in the PPMS showed an initial and repeatable transition at 294 K (Figure 2) comparable to previous experimental work and the predictions from simulations (Liu et al., 2017; Boeri and Bachelet, 2019; Oganov et al., 2019; Otto, 2019). Resistance measurements were done at various applied fields at 370 K, and the R(T) traces show a shift with field compatible with a Ginzburg-Landau fit, yielding H _c (0 K) of about 2000 T for the cool down traces (Figure 4). This same transition was then tracked in a resistive magnet, shifting irreversibly to higher and higher temperatures via successive thermal cycling, the amplitude of the transition growing with each excursion (Figure 5). XRD data obtained after the maximum thermal cycle up to 600 K show the formation of a distorted LaH_10-x backbone with a volume reduction of about 5% that points to incorporation of one or more elements or ligands that form this higher order hydride.

The non-zero background is not surprising, as it appears in other superhydrides. In our material, we attribute this to the inhomogeneous growth, the short to the gasket, impurities, elemental La and possibly grain boundaries found in the region between the electrodes. This background is seen throughout the thermal cycling and is completely field independent. The XRD patterns in close proximity to the voltage lead tips provides the key to the puzzle, as its shows not only substituted fcc and rhombohedral LaH_10-x but also PtH_x and unreacted La and Pt. In both the X-ray and the resistivity data, we could not find any evidence for any binary LaH_x, x < 10. Thus, the portion of the sample showing this very high superconducting transition is electrically in series with these additional constituents (Supplementary Figures S15, S17–S20), which explains the lack of a zero-resistance state. Finally, the field dependance of the transitions below 15 K found in the non-reacted cell B003 show a Ginzburg-Landau behaviour (the multi-phase transitions below 8 K are most likely due to elemental La that is at different pressures since it is smeared out over the culet and the bevels), confirming that our megabar electrical circuit detected superconducting transitions (Figure 3), as also demonstrated in the aforementioned literature.

The onset at 294 K is consistent with preliminary observations of T _c above 250 K (Hemley et al., 2019; Somayazulu et al., 2019; Drozdov et al., 2019). The initial T _c of 260 K for LaH₁₀ reported in Ref. 39 increases with pressure brought on by thermal cycling to 282 K, close to our starting value of 294 K. The initial increase from 294 to 370 K in our sample may be related to similar behavior observed in the simpler binary hydride H₃Se (Ahart et al., 2017). This has also been described in the preliminary reports of the synthesis of superconducting H₃S (Drozdov et al., 2014). However, this is unlikely, as the maximum predicted transition temperature for the binary LaH_10/11 system is 288 K (Liu et al., 2017; Peng et al., 2017). Rather, the higher temperature transitions point to additional chemical transformations induced by pressure, shear, and temperature. In addition to B and N from the hydrogen source (NH₃BH₃) or the composite gasket insert (cBN) and the carbon from the epoxy binder, C and Ga from the Pt electrodes also make contact with the La-H and may contribute to the phase assembly of laser heated system with formation of a ternary or higher order system. The thermal excursions performed on the entire cell may have degraded the epoxy binder in the cBN insert, which allowed C and possibly H to diffuse into the sample. Pt, Au from the electrodes, and the amorphous FIBed surface of the diamond may also act as catalysts or catalytic bed, respectively, to help form metastable doped alloys or new stoichiometric compounds. A variety of high p-T induced chemical reactions, phase transformations, or novel phases involving these elements have been documented, even at more modest conditions (Cava et al., 1994; Gregoryanz et al., 2004; Teredesai et al., 2004). Interestingly, the 294 and 360 K cool down traces appear to have only two phases with a third broad phase at the base of these transitions, potentially due to a disordered nature of the latter phase. In contrast, the higher onset temperature transitions have numerous anomalies in the warming traces and fewer in the cooling traces. This supports the idea of a chemical reaction that is activated in temperature, and is possibly incomplete even at 580 K.

The systematic shift of the transition as a result of a temperature treatment deviates from a theoretically predicted superconducting transition of 288 K for the binary La-H system. The background and non-zero resistance can be convincingly traced back to experimental artifacts. Finally, with the exclusion of impurity phases, we consider a picture of a material with a zero resistance at very high temperatures. The XRD data, which is supported by our simulations, clearly support the presence of a substituted LaH_x superhydride superconductor. We do not see any transitions that would be associated with an LaH_x structure close to x = 8 as seen in the X-ray and, therefore, we conclude that we have a higher order superhydride with T _c onset of 556 K. Our observations provide evidence of superconductivity in a metastable compound, perhaps analogous to recent calculations for the Li-Mg-H system in which T _c of 470 K has been predicted within a conventional BCS framework. Recent work on a La-Y hydride ternary (Semenok et al., 2021) and the C-S-H system reported by Snider et al. (2020a) support our discussions and a trend towards room temperature and even higher temperature superconductors.

Additional work is clearly required to characterize the observed fascinating phenomena, including more extensive structural and compositional characterization of the phase (or phases) produced, clarification of p-T-H phase diagrams, and attaining thermodynamic equilibrium. Beyond the surprising observation of “hot” superconductivity, our evidence and discussion presented here emphasize the importance of new multiprobe routes for the creation and characterization of novel materials using multiple extreme environments of pressure, temperature and high magnetic fields.

Note: While in preparation, we have become aware of four publications that attempt to explain our finding (Ge et al., 2021; Guan et al., 2021; Liang et al., 2021; Di Cataldo et al., 2022).