M. I. Eremets, V. S. Minkov, A. P. Drozdov and P. P. Kong discuss the substantial progress made in discovering and developing near-room-temperature superconductivity in hydrogen-rich materials. They focus on achieving reproducibility under the challenging experimental conditions of megabar pressures.

In our paper [1], we studied the magnetic response of H_3S and LaH_10 superconductors to an applied magnetic field using Superconducting Quantum Interference Device (SQUID) magnetometry. Hirsch, in his comment [2], highlighted an inconsistency in the data averaging procedure while questioning whether high-Tc hydrides are superconductors at all. We accept the criticism regarding our method of extracting the penetration field HP from the original data. Our SQUID magnet becomes noisy at high magnetic fields, which necessitated the smoothing of a small portion of the data. To eliminate any data processing issues, we have performed an alternative data analysis that does not require data smoothing to estimate the penetration field Hp values. The formulation of the analysis is identical to the one widely used for determining critical currents in superconductors3. Recently, it has been shown to work effectively for extracting Hp and the lower critical field Hc1 from DC magnetization data4. The Hp values of the present analysis are consistent with those published in our original work1. We wish to emphasize very clearly that the criticism pertains to the secondary issue of determining Ginzburg-Landau parameters for these hydride superconductors and does not undermine the validity of the existence of hydride superconductivity. Indeed, as part of our paper1, we also published m(H) curves demonstrating the virgin curve (about which the analysis issues were raised) followed by magnetic hysteretic loops that have the classic form of the hysteresis curves of superconductors. Above Tc, in both H_3S and LaH_10, the hysteresis is absent. We make all the data available so that readers can judge for themselves.

The recent discovery of high-temperature, high-pressure superconductors, such as hydrides and nickelates, has opened exciting avenues in studying high-temperature superconductivity. The primary superconducting properties of these materials are well characterized by measuring various electrical and magnetic properties, despite the challenges posed by the high-pressure environment. Experimental microscopic insight into the pairing mechanism of these superconductors is even more challenging, due to the lack of direct probes of the superconducting gap structures at high pressure conditions. Here, we have developed a planar tunnel junction technique for diamond anvil cells and present ground-breaking tunneling spectroscopy measurements at megabar pressures. We determined the superconducting gap of elemental sulfur at 160 GPa, a key constituent of the high-temperature superconductor H3S. High quality tunneling spectra indicate that β-Po phase sulfur is a type II superconductor with a single s-wave gap with a gap value 2Δ(0)=5.6 meV. This technique is compatible with superconducting compounds synthesized in diamond anvil cells and provides insight into the pairing mechanism in novel superconductors under high-pressure conditions. Published by the American Physical Society 2024

Hirsch and Marsiglio, in their recent publication (J. Supercond. Nov. Mag. 35, 3141-3145 (2022)), assert that experimental data on the trapping of magnetic flux by hydrogen-rich compounds clearly demonstrate the absence of superconductivity in hydrides at high pressures. We argue that this assertion is incorrect, as it relies on the wrong model coupled with selective manipulations (hide/delete) of calculated datasets and ignores the reference measurements after the release of pressure. A critical examination of the authors' claim of having performed fitting of experimental data to the model reveals that, in fact, the authors conducted simulations where all free parameters were fixed. Importantly, an application of the Hirsch-Marsiglio model to MgB_2 leads to the conclusion that it is not a superconductor.

The recent progress in generating static pressures up to terapascal values opens opportunities for studying novel materials with unusual properties, such as metallization of hydrogen and high-temperature superconductivity. However, an evaluation of pressure above ~0.3 terapascal is a challenge. We report a universal high-pressure scale up to ~0.5 terapascal, which is based on the shift of the Raman edge of stressed diamond anvils correlated with the equation of state of Au and does not require an additional pressure sensor. According to the new scale, the pressure values are substantially lower by 20% at ~0.5 terapascal compared to the extrapolation of the existing scales. We compare the available data of H2 at the highest static pressures. We show that the onset of the proposed metallization of molecular hydrogen reported by different groups is consistent when corrected with the new scale and can be compared with various theoretical predictions.

In the last few years, the superconducting transition temperature, Tc, of hydrogen-rich compounds has increased dramatically, and is now approaching room temperature. However, the pressures at which these materials are stable exceed one million atmospheres and limit the number of available experimental studies. Superconductivity in hydrides has been primarily explored by electrical transport measurements, whereas magnetic properties, one of the most important characteristic of a superconductor, have not been satisfactory defined. Here, we develop SQUID magnetometry under extreme high-pressure conditions and report characteristic superconducting parameters for Im-3m-H3S and Fm-3m-LaH10-the representative members of two families of high-temperature superconducting hydrides. We determine a lower critical field Hc1 of ∼0.82 T and ∼0.55 T, and a London penetration depth λL of ∼20 nm and ∼30 nm in H3S and LaH10, respectively. The small values of λL indicate a high superfluid density in both hydrides. These compounds have the values of the Ginzburg-Landau parameter κ ∼12-20 and belong to the group of "moderate" type II superconductors, rather than being hard superconductors as would be intuitively expected from their high Tcs.

The discovery of high-temperature superconductivity above 240 K in binary La-H and Y-H systems inspired further predictions of even higher transition temperatures in compounds such as YH10 and MgH6, which are likely to be dynamically unstable. Ternary superhydrides provide alternative pathways to stabilize desired near-room temperature superconducting phases. However, the synthesis of new ternary hydrides remains challenging because most of the precursor reactants do not exist in desired stoichiometry at ambient conditions. Here we report that using the existing binary intermetallic CaMg2 and 1:1 Ca-Mg mixture as starting reactants, we have successfully synthesized novel Ca-Mg-based ternary superhydrides at megabar pressures. Electrical resistivity measurements show Tc approaching 168 K at 310 GPa in the CaMg2-based superhydride and 182 K in 1:1 the Ca-Mg superhydride at 324 GPa.

J. E. Hirsch and F. Marsiglio in their publication, Phys. Rev. B 103, 134505 (2021), assert that hydrogen-rich compounds do not exhibit superconductivity. Their argument hinges on the absence of broadening of superconducting transitions in applied magnetic fields. We argue, that this assertion is incorrect, as it relies on a flawed analysis and a selective and inaccurate report of published data, where data supporting the authors' perspective are highlighted while data demonstrating clear broadening are disregarded.

Recent discoveries of superconductivity in various hydrides at high pressures have shown that a critical temperature of superconductivity can reach near-room-temperature values. However, experimental studies are limited by high-pressure conditions, and electrical transport measurements have been the primary technique for detecting superconductivity in hydrides. Here we implement a non-conventional protocol for the magnetic measurements of superconductors in a SQUID magnetometer and probe the trapped magnetic flux in two near-room-temperature superconductors H 3 S and LaH 10 at high pressures. Contrary to traditional magnetic susceptibility measurements, the magnetic response from the trapped flux is almost unaffected by the background signal of the diamond anvil cell due to the absence of external magnetic fields. The behaviour of the trapped flux generated under zero-field-cooled and field-cooled conditions proves the existence of superconductivity in these materials. We reveal that the absence of a pronounced Meissner effect is associated with the very strong pinning of vortices inside the samples. This approach can also be a tool for studying multiphase samples or samples that have a low superconducting fraction at ambient pressure.

Since the discovery of superconductivity at ~ 200 K in H3S [1], similar or higher transition temperatures, Tcs, have been reported for various hydrogen-rich compounds under ultra-high pressures [2]. Superconductivity was experimentally proved by different methods, including electrical resistance, magnetic susceptibility, optical infrared, and nuclear resonant scattering measurements. The crystal structures of superconducting phases were determined by X-ray diffraction. Numerous electrical transport measurements demonstrate the typical behavior of a conventional phonon-mediated superconductor: zero resistance below Tc, shift of Tc to lower temperatures under external magnetic fields, and pronounced isotope effect. Remarkably, the results are in good agreement with the theoretical predictions, which describe superconductivity in hydrides within the framework of the conventional BCS theory. However, despite this acknowledgement, experimental evidences for the superconducting state in these compounds have recently been treated with criticism [3–7], which apparently stems from misunderstanding and misinterpretation of complicated experiments performed under very high pressures. Here, we describe in greater detail the experiments revealing high-temperature superconductivity in hydrides under high pressures. We show that the arguments against superconductivity [3–7] can be either refuted or explained. The experiments on the high-temperature superconductivity in hydrides clearly contradict the theory of hole superconductivity [8] and eliminate it [3].

Designing materials with advanced functionalities is the main focus of contemporary solid-state physics and chemistry. Research efforts worldwide are funneled into a few high-end goals, one of the oldest, and most fascinating of which is the search for an ambient temperature superconductor (A-SC). The reason is clear: superconductivity at ambient conditions implies being able to handle, measure and access a single, coherent, macroscopic quantum mechanical state without the limitations associated with cryogenics and pressurization. This would not only open exciting avenues for fundamental research, but also pave the road for a wide range of technological applications, affecting strategic areas such as energy conservation and climate change. In this roadmap we have collected contributions from many of the main actors working on superconductivity, and asked them to share their personal viewpoint on the field. The hope is that this article will serve not only as an instantaneous picture of the status of research, but also as a true roadmap defining the main long-term theoretical and experimental challenges that lie ahead. Interestingly, although the current research in superconductor design is dominated by conventional (phonon-mediated) superconductors, there seems to be a widespread consensus that achieving A-SC may require different pairing mechanisms. In memoriam, to Neil Ashcroft, who inspired us all.

Despite decades of intense theoretical, experimental and computational effort, a microscopic theory of high-temperature superconductivity is not yet established. Eight researchers share their contributions to the search for a better understanding of unconventional superconductivity and their hopes for the future of the field.

The possibility of high, room-temperature superconductivity was predicted for metallic hydrogen in the 1960s. However, metallization and superconductivity of hydrogen are yet to be unambiguously demonstrated and may require pressures as high as 5 million atmospheres. Rare earth based “superhydrides”, such as LaH 10 , can be considered as a close approximation of metallic hydrogen even though they form at moderately lower pressures. In superhydrides the predominance of H-H metallic bonds and high superconducting transition temperatures bear the hallmarks of metallic hydrogen. Still, experimental studies revealing the key factors controlling their superconductivity are scarce. Here, we report the pressure and magnetic field dependence of the superconducting order observed in LaH 10 . We determine that the high-symmetry high-temperature superconducting Fm-3m phase of LaH 10 can be stabilized at substantially lower pressures than previously thought. We find a remarkable correlation between superconductivity and a structural instability indicating that lattice vibrations, responsible for the monoclinic structural distortions in LaH 10 , strongly affect the superconducting coupling.

The discovery of superconducting H 3 S with a critical temperature T c ∼200 K opened a door to room temperature superconductivity and stimulated further extensive studies of hydrogen-rich compounds stabilized by high pressure. Here, we report a comprehensive study of the yttrium-hydrogen system with the highest predicted T c s among binary compounds and discuss the contradictions between different theoretical calculations and experimental data. We synthesized yttrium hydrides with the compositions of YH 3 , YH 4 , YH 6 and YH 9 in a diamond anvil cell and studied their crystal structures, electrical and magnetic transport properties, and isotopic effects. We found superconductivity in the Im-3m YH 6 and P6 3 /mmc YH 9 phases with maximal T c s of ∼220 K at 183 GPa and ∼243 K at 201 GPa, respectively. Fm-3m YH 10 with the highest predicted T c > 300 K was not observed in our experiments, and instead, YH 9 was found to be the hydrogen-richest yttrium hydride in the studied pressure and temperature range up to record 410 GPa and 2250 K.

Dienstag, 1. Februar 2022 Stuttgarter Physikalisches Kolloquium Max-Planck-Institut für Festkörperforschung Max-Planck-Institut für Intelligente Systeme Fachbereich Physik, Universität Stuttgart Stuttgarter Max-Planck-Institute, Heisenbergstraße 1, 70569 Stuttgart-Büsnau Ansprechpartner: Andreas Schnyder E-Mail: A.Schnyder@fkf.mpg.de Telefon: 0711 689-1553 16.15 Uhr Hörsaal 2D5 www.physik.uni-stuttgart.de/aktuelles/kolloquium There is dramatic progress in conventional superconductivity since hydrogen sul de with the critical temperature =203 K was discovered under high pressures of about 150 GPa [1]. Many other Tc superconductors were found some of them even at higher temperatures and high pressures: with Tc =243 K in YH [2], 250-260 K in LaH [3,4], and 287 K in carbonaceous hydrogen sul de [5]. 9 10 Two main structures of the superconducting hydrides were discovered. Most of the high temperature hydrides have a cage-like structure. In particular, in lanthanum hydride LaH , La atom 10 is located at the center of the cage of hydrogen atoms. The lanthanum atom acts as an electron donor contributing to electron pairing, while the hydrogen atoms form weak covalent bonds with each other within the cage. This and other superhydrides (YH , CaH ) can be considered as a 9 6 close realization of superconducting metallic hydrogen [6]. The second structure realized in H S is 3 1 different: here each hydrogen atom is connected by a strong covalent bond to the two nearby sulfur atoms. The strong bonding provides large electron-phonon coupling and enhanced superconductivity. The covalent metals are perspective ambient pressure superconductors. We will discuss different ways for further increase of at high and ambient pressures. Tc High temperature conventional superconductivity. Seven-year journey. Mikhail I. Eremets Max Planck Institute for Chemistry, Mainz [1] Drozdov, A. P., Eremets, M. I., Troyan, I. A., Ksenofontov, V. & Shylin, S. I. Conventional superconductivity at 203 K at high pressures. , 73 (2015). Nature 525 [2] Kong, P. P. Superconductivity up to 243 K in yttrium hydrides under high pressure. (2021). et al. Nature Comm. [3] Drozdov, A. P. Superconductivity at 250 K in lanthanum hydride under high pressures 528 (2019). et al. Nature 569 [4] Somayazulu, M. Evidence for Superconductivity above 260 K in Lanthanum Superhydride at Megabar Pressures. 027001 (2019). et al. Phys. Rev. Lett. 122 [5] Snider, E. Room-temperature superconductivity in a carbonaceous sulfur hydride. (2020). et al. Nature [6] Ashcroft, N. W. Metallic hydrogen: A high-temperature superconductor? , 1748-1750 (1968). Phys. Rev. Lett. 21

We describe an experimental platform that generates infrared images of micrometer-sized samples in the high pressure region of a diamond anvil cell. Using a 2.3 micron laser as a source of radiation, the system will be particularly useful in identifying hydride superconductors which exhibit an anomalous temperature dependence of reflectivity in the 2.3 micron region. Our system shows an intensity stability within one percent when the sample temperature is swept from 100 K to 300 K. The spatial stability is of the order of a few micrometers in the same temperature range.