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Research dossier · version 1 · updated Oct 30, 2026

Cuprates & the Pairing Mechanism: State of the Field (October 2026)

Where the cuprate pairing problem stands at the end of October 2026: the doped Hubbard model as a candidate minimal description, the pseudogap, charge order and strange-metal transport, and the nickelate comparison. The main takeaway is that numerical studies of the doped Hubbard model still disagree on whether superconductivity coexists with stripe order or competes with it, while experiments have not settled whether charge order drives pairing or accompanies it.

4,360 words47 sources26 evidence-mapped claims11 benchmarks20 timeline events✓ citation-verified Oct 30, 2026

AI-assisted synthesis of the cited literature, independently fact-checked against its sources; not peer reviewed.

Contents

  1. Executive summary
  2. Background and core concepts
  3. Timeline of key milestones
  4. State of the art
  5. Hubbard-model numerics (contested)
  6. Charge order and its relation to pairing
  7. Pseudogap and the Fermi surface
  8. Strange-metal transport and theory
  9. Magnetic excitations and pairing glue
  10. Quantitative benchmarks
  11. Open problems and active debates
  12. Major programs and players
  13. Outlook: what to watch (next 12-18 months)
  14. Key papers
  15. Glossary

Sample findings

  • Cuprate superconductivity resides in CuO2 planes; the parent compounds are antiferromagnetic Mott (charge-transfer) insulators, and superconductivity appears upon hole or electron doping.
  • The highest ambient-pressure Tc among cuprates is about 133 to 135 K, reached in the mercury-based three-layer compound HgBa2Ca2Cu3O8+δ.
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