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1. The 2021 Room-Temperature Superconductivity Roadmap

   Boeri, L. ; Hennig, R. ; Hirschfeld, P. ; Profeta, G. ; Sanna, A. ; Zurek, E. ; Pickett, W. E. ; Amsler, M. ; Dias, R. ; Eremets, M. I. ; et al ( October 2021 , Journal of physics)

   Boeri, L. ; Hennig, R. ; Hirschfeld, P. ; Profeta, G. ; Sanna, A. ; Zurek, E. (Ed.)

   Last year, the report of Room-Temperature Superconductivity in high-pressure carbonaceous sulfur hydride marked a major milestone in the history of physics: one of the holy grails of condensed matter research was reached after more than one century of continuing efforts. This long path started with Neil Ashcroft’s and Vitaly Ginzburg’s visionary insights on high-temperature superconductivity in metallic hydrogen in the 60’s and 70’s, and has led to the current hydride fever, following the report of high-Tc high-pressure superconductivity in H3S in 2014. This Roadmap collects selected contributions from many of the main actors in this exciting chapter of condensed matter history. Key for the rapid progress of this field has been a new course for materials discovery, where experimental and theoretical discoveries proceed hand in hand. The aim of this Roadmap is not only to offer a snapshot of the current status of superconductor materials research, but also to define the theoretical and experimental obstacles that must be overcome for us to realize fully exploitable room temperature superconductors, and foresee future strategies and research directions. This means improving synthesis techniques, extending first-principles methods for superconductors and structural search algorithms for crystal structure predictions, but also identifying new approaches to material discovery based on artificial intelligence. 

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2. Elastocaloric determination of the phase diagram of Sr2RuO4

   https://doi.org/10.1038/s41586-022-04820-z  

   Li, You-Sheng ; Garst, Markus ; Schmalian, Jörg ; Ghosh, Sayak ; Kikugawa, Naoki ; Sokolov, Dmitry A. ; Hicks, Clifford W. ; Jerzembeck, Fabian ; Ikeda, Matthias S. ; Hu, Zhenhai ; et al ( July 2022 , Nature)

   Abstract One of the main developments in unconventional superconductivity in the past two decades has been the discovery that most unconventional superconductors form phase diagrams that also contain other strongly correlated states. Many systems of interest are therefore close to more than one instability, and tuning between the resultant ordered phases is the subject of intense research 1 . In recent years, uniaxial pressure applied using piezoelectric-based devices has been shown to be a particularly versatile new method of tuning 2,3 , leading to experiments that have advanced our understanding of the fascinating unconventional superconductor Sr 2 RuO 4 (refs.  4–9 ). Here we map out its phase diagram using high-precision measurements of the elastocaloric effect in what we believe to be the first such study including both the normal and the superconducting states. We observe a strong entropy quench on entering the superconducting state, in excellent agreement with a model calculation for pairing at the Van Hove point, and obtain a quantitative estimate of the entropy change associated with entry to a magnetic state that is observed in proximity to the superconductivity. The phase diagram is intriguing both for its similarity to those seen in other families of unconventional superconductors and for extra features unique, so far, to Sr 2 RuO 4 . 

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3. Bulk evidence of anisotropic s-wave pairing with no sign change in the kagome superconductor CsV3Sb5

   https://doi.org/10.1038/s41467-023-36273-x  

   Roppongi, M. ; Ishihara, K. ; Tanaka, Y. ; Ogawa, K. ; Okada, K. ; Liu, S. ; Mukasa, K. ; Mizukami, Y. ; Uwatoko, Y. ; Grasset, R. ; et al ( February 2023 , Nature Communications)

   The recently discovered kagome superconductorsAV₃Sb₅(A= K, Rb, Cs) exhibit unusual charge-density-wave (CDW) orders with time-reversal and rotational symmetry breaking. One of the most crucial unresolved issues is identifying the symmetry of the superconductivity that develops inside the CDW phase. Theory predicts a variety of unconventional superconducting symmetries with sign-changing and chiral order parameters. Experimentally, however, superconducting phase information inAV₃Sb₅is still lacking. Here we report the impurity effects in CsV₃Sb₅using electron irradiation as a phase-sensitive probe of superconductivity. Our magnetic penetration depth measurements reveal that with increasing impurities, an anisotropic fully-gapped state changes to an isotropic full-gap state without passing through a nodal state. Furthermore, transport measurements under pressure show that the double superconducting dome in the pressure-temperature phase diagram survives against sufficient impurities. These results support that CsV₃Sb₅is a non-chiral, anisotropics-wave superconductor with no sign change both at ambient and under pressure.

    

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4. Proximity-induced superconductivity generated by thin films: Effects of Fermi surface mismatch and disorder in the superconductor

   https://doi.org/10.1103/PhysRevB.106.085429  

   Stanescu, Tudor D. ; Das Sarma, Sankar ( August 2022 , Physical Review B)

   We investigate the effects of disorder characterizing a superconducting thin film on the proximity-induced superconductivity generated by the film (in, e.g., a semiconductor) based on the exact numerical analysis of a three-dimensional microscopic model. To make the problem numerically tractable, we use a recursive Green’s function method in combination with a “patching approach” that exploits the short-range nature of the interface Green’s function in the presence of disorder. As a result of the Fermi surface mismatch between the superconductor (SC) and the semiconductor (SM) in combination with the confinement-induced quantization of the transverse SC modes, the proximity effect induced by a clean SC film is typically one to three orders of magnitude smaller that the corresponding quantity for a bulk SC and exhibits huge thickness-dependent variations. The presence of disorder has competing effects: on the one hand, it enhances the proximity-induced superconductivity and suppresses its strong thickness dependence, on the other hand, it generates proximity-induced effective disorder in the SM. The effect of proximity-induced disorder on the topological superconducting phase and the associated Majorana modes is studied nonperturbatively. 

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5. Emergence of nodal Bogoliubov quasiparticles across the transition from the pseudogap metal to the d-wave superconductor

   https://doi.org/10.1038/s41535-023-00608-0  

   Christos, Maine ; Sachdev, Subir ( January 2024 , npj Quantum Materials)

   We model the pseudogap state of the hole- and electron-doped cuprates as a metal with hole and/or electron pocket Fermi surfaces. In the absence of long-range antiferromagnetism, such Fermi surfaces violate the Luttinger requirement of enclosing the same area as free electrons at the same density. Using the Ancilla theory of such a pseudogap state, we describe the onset of conventionald-wave superconductivity by the condensation of a chargeeHiggs boson transforming as a fundamental under the emergent SU(2) gauge symmetry of a backgroundπ-flux spin liquid. In all cases, we find that thed-wave superconductor has gapless Bogoliubov quasiparticles at 4 nodal points on the Brillouin zone diagonals with significant velocity anisotropy, just as in the BCS state. This includes the case of the electron-doped pseudogap metal with only electron pockets centered at wavevectors (π, 0), (0, π), and an electronic gap along the zone diagonals. Remarkably, in this case, too, gapless nodal Bogoliubov quasiparticles emerge within the gap at 4 points along the zone diagonals upon the onset of superconductivity.

    

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