Research Article 2026-04-22 posted v1

Benchmarking cuprate superconductivity theories: experimental constraints, quantum simulation targets, and a unified framework

H
Hikaru Wakaura QuantScape Inc.

Abstract

We benchmark five microscopic cuprate superconductivity theories against ten experimental constraints using continuous figures of merit $f_i\in[0,1]$ with explicit acceptance windows.  At mean-field level, Model~B (SVILC) scores highest ($F=0.96\pm0.02$), followed by Model~E (spin fluctuation, $0.91\pm0.03$).  Failure analysis identifies four ingredients that appear necessary at mean-field level: Mott physics, spin-fluctuation pairing, loop-current order, and three-band CuO$_2$ structure.  A unified Hamiltonian incorporating all four yields $\Delta_0=28$~meV and $\mu_{\mathrm{orb}}=0.06\;\mu_{ B }$/Cu on a $24\times24$ cluster.  The multi-observable scoring framework provides concrete targets for quantum simulation of cuprate Hamiltonians and enables systematic validation of quantum-computed phase diagrams. Four falsifiable predictions are derived.

Citation Information

@article{hikaruwakaura2026,
  title={Benchmarking cuprate superconductivity theories: experimental
constraints, quantum simulation targets, and a unified framework},
  author={Hikaru Wakaura},
  journal={Research Square},
  year={2026},
  doi={https://doi.org/10.21203/rs.3.rs-9480217/v1}
}
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