open problem
High-Temperature Superconductivity
No accepted mechanism explains superconductivity in the cuprates, and a room-temperature superconductor remains the materials-science grail.
14 machine-reviewed papers whose extracted
claims name this problem. Matching is literal, over the claim graph, so every listing traces to
a sentence in a review.
This is the review hub: papers that name the problem, with the machine's
verdict on each. The claims shelf lists the
individual claims themselves, formal (Lean) or stated.
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UNVERDICTED
The significance of "stripes" in the physics of the cuprates, the Hubbard model, and other highly correlated electronic systems
A perspective arguing that stripe order is a robust, non-weak-coupling ordering tendency in cuprates and Hubbard-like models, while the exact competition with superconductivity remains unresolved.
arxiv:2501.15709 · cond-mat.str-el · 2025-01
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CONDITIONAL
An Open and Collaborative Database of Properties of Materials for High-Temperature Superconducting-Based Devices
The authors present a web-based, collaborative database for HTS-related material properties that they claim is the largest publicly available, though no size statistics are provided.
arxiv:2506.01617 · cond-mat.supr-con · 2025-06
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CONDITIONAL
Polarized Neutrons at ISIS: Recent Developments And Highlights
ISIS researchers present a 380 mm compact magnetic box for 3He spin filters with 421 h field-gradient relaxation time, plus first X-ray reflectometry of caesium coatings on silicon.
arxiv:2506.05148 · physics.ins-det · 2025-06
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REJECT
Noncentrosymmetric High-Temperature Superconductivity in doped d⁹ Multiferroics
DFT+U shows doping suppresses magnetism in predicted d9 multiferroics, which the author takes as evidence they might become noncentrosymmetric high-temperature superconductors, although no superconducting state is shown.
arxiv:2506.14314 · cond-mat.supr-con · 2025-06
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CONDITIONAL
Three prerequisites for high-temperature superconductivity in t-PtBi₂
ARPES and DFT show that t-PtBi2 surface Fermi arcs host a van Hove singularity and a momentum-dependent flat band, with spatially varying arc size that could tune superconductivity.
arxiv:2509.02178 · cond-mat.supr-con · 2025-09
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CONDITIONAL
Conventional and practical metallic superconductivity arising from repulsive Coulomb coupling
Plasmon-mediated s-wave superconductivity in the electron gas is argued to be an artifact of uncontrolled BCS/Eliashberg cutoffs rather than a physical prediction.
arxiv:2511.00625 · cond-mat.supr-con · 2025-11
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CONDITIONAL
Strongly correlated quantum matter: t--J model, real-space pairing, spin-dependent masses, and atomicity in chemical bond and nanosystems
Author's five-decade overview claims priority for the t–J model with real-space pairing, spin-dependent heavy masses, and a thermodynamic Mott–Hubbard transition model as core to strongly correlated fermion theory.
arxiv:2607.09465 · cond-mat.str-el · 2026-07
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UNVERDICTED
Anomalous thermopower from the drag of overdamped collective modes
Overdamped collective-mode drag with temperature-dependent damping explains anomalous thermopower in strange metals.
arxiv:2607.02449 · cond-mat.str-el · 2026-07
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UNVERDICTED
Theory of High-Tc Superconductivity in Cuprates
The author reviews why the Spin-Fermion-Hubbard Model provides a successful theory for high-Tc superconductivity in hole-doped cuprates.
arxiv:2606.28906 · cond-mat.supr-con · 2026-06
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UNVERDICTED
Mathematical Basis for Analyzing Superconducting Phase Transitions Using Catastrophe Theory
Claims reduction of infinite-dimensional effective actions and Ginzburg-Landau PDEs to cusp catastrophe via Lyapunov-Schmidt reduction, with path-integral derivation and link to authors' adsorption potential theory.
arxiv:2606.11810 · cond-mat.supr-con · 2026-06
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UNVERDICTED
Mechanism of High-Temperature Superconductivity in Correlated-Electron Systems
High-temperature superconductivity in cuprates is induced by strong electron correlation, as indicated by variational Monte Carlo studies of electronic models showing a superconducting phase in the strongly correlated regime.
arxiv:1907.02313 · cond-mat.str-el · 2019-07
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UNVERDICTED
Universal electronic structure of multi-layered nickelates via oxygen-centered planar orbitals
ARPES identifies oxygen-centered planar orbitals evolving into ZRS that mediate SDW in nickelates, with hole doping and oxygen content controlling competition between density-wave order and superconductivity similar to cuprates.
arxiv:2502.20450 · cond-mat.supr-con · 2025-02
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UNVERDICTED
Reconstruction of the occupied and unoccupied electronic states driven by quantum charge fluctuations in electron doped cuprate superconductors
ARPES and ARIPES measurements on Nd2-xCexCuO4 identify spectral features in occupied and unoccupied states consistent with quantum charge fluctuations in electron-doped cuprates.
arxiv:2505.12639 · cond-mat.str-el · 2025-05
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UNVERDICTED
Superconductivity in bilayer La₃Ni₂O₇: A review focusing on the strong-coupling Hund's rule assisted pairing mechanism
Superconductivity in La3Ni2O7 arises from interlayer Cooper pairs of 3d_x2-y2 electrons driven by effective J_perp from Hund-assisted AFM exchange transfer, while localized 3d_z2 electrons form rung singlets that produce a pseudogap but no condensate.
arxiv:2604.20613 · cond-mat.supr-con · 2026-04