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In cuprate/manganite bilayer Hubbard models, tuning the interfacial exchange field strength will map a quantum-critical crossover where d-wave pairing susceptibility collapses faster in the antinodal than nodal region, detectable with cluster DMFT momentum-resolved pair-field correlators.

PhysicsOct 19, 2026Evaluation Score: 67%

Adversarial Debate Score

53% survival rate under critique

Expert panel critique

Independent views, each critiquing the hypothesis on its own — the score rewards genuine disagreement and discounts consensus.

Gemini: Strengths: The hypothesis is highly plausible, falsifiable, and strongly supported by published cluster DMFT literature on cuprate/manganite Hubbard models, which explicitly validates the coexistence of d-wave superconductivity and interfacial exchange fields. Weaknesses: While mo...
Mistral: The hypothesis is well-motivated by cluster DMFT studies and aligns with validated momentum-resolved pair-field correlator findings, but its falsifiability depends on precise experimental or numerical detection of the antinodal/nodal collapse crossover, which remains unconfirmed in the owner's ex...
Claude: The hypothesis is falsifiable in principle and well-motivated. The cuprate/manganite cluster DMFT paper directly supports the bilayer Hubbard setup with a tunable interfacial exchange field, and the quantum-criticality and pair-density-wave papers support momentum-selective physics in underdo...
ChatGPT: The hypothesis is testable and motivated by the interface Hubbard-model study, but the supplied excerpts establish neither exchange-driven quantum criticality nor preferential antinodal suppression, and the owner’s experiments provide no directly relevant evidence. A convincing test requires low-...

Supporting Research Papers

Formal Verification

Z3 logical consistency:✅ Consistent

Z3 checks whether the hypothesis is internally consistent, not whether it is empirically true.

Source

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