SVEM-GT v3.0: Universal Quantum-Geometric Law Unifying Five Superconducting Families via Multiplicative Strain-Vacancy Coupling
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SVEM-GT v3.0: A Unified Quantum-Geometric Framework for Superconductivity This release presents SVEM-GT v3.0, a closed-form phenomenological model that unifies five major families of high-temperature superconductors—cuprates, nickelates, iron pnictides, kagome metals, and high-pressure hydrides—under a single quantum-geometric law. The superconducting critical temperature (Tc) is predicted by: Tc = A × (ε)^α × (δ)^β × (V_H)^γ where: ε is the epitaxial strain δ is the oxygen vacancy concentration V_H is the Hilbert-space volume derived from DFT-based quantum geometric descriptors Validated across 25 materials using Leave-One-Family-Out Cross-Validation (LOFO-CV), the model achieves: RMSE = 42.1 K R² = 0.81 This multiplicative coupling reveals a super-linear synergy between strain and vacancies, consistent with recent experimental findings (Nature Physics, 2024). The framework offers a transparent, reproducible path for accelerating superconductor discovery. Included in This Release Full manuscript (PDF) Complete dataset and analysis code Figure 3: Predicted vs. observed Tc and residual distribution (ΔTc) Version Note (v3.0) This version expands upon SVEM-GT v2.0 by: Incorporating two new superconductor families Refining model coefficients (α, β, γ) Enabling full LOFO-CV reproducibility Author and CreatorDeymison Elias dos ReisORCID: 0009-0001-2550-6169
SVEM-GT v3.0：面向高温超导的统一量子几何框架 本次发布的SVEM-GT v3.0是一款闭式唯象模型，可通过单一量子几何定律统一涵盖五大类高温超导体：铜基超导体、镍基超导体、铁基氮族化合物超导体、笼目金属以及高压氢化物。超导临界温度（superconducting critical temperature, Tc）可通过以下公式预测： Tc = A × (ε)^α × (δ)^β × (V_H)^γ 其中： ε 为外延应变； δ 为氧空位浓度； V_H 为基于密度泛函理论（Density Functional Theory, DFT）量子几何描述符推导得到的希尔伯特空间体积。 该模型基于25种材料开展留族交叉验证（Leave-One-Family-Out Cross-Validation, LOFO-CV）测试，取得以下性能指标： 均方根误差（Root Mean Squared Error, RMSE）= 42.1 K 决定系数（Coefficient of Determination, R²）= 0.81 该乘性耦合机制揭示了应变与空位间存在超线性协同效应，与2024年《自然·物理学》发表的最新实验结果一致。该框架为加速超导体研发提供了一条透明且可复现的研究路径。 本次发布包含以下内容： - 完整研究手稿（PDF格式） - 完整数据集与分析代码 - 图3：预测与实测Tc值对比及残差分布（ΔTc） 版本说明（v3.0） 本版本在SVEM-GT v2.0的基础上新增以下改进： 1. 纳入两类全新的超导体家族 2. 优化模型系数（α、β、γ） 3. 实现留族交叉验证（LOFO-CV）的全流程可复现性 作者与创作者：Deymison Elias dos Reis ORCID：0009-0001-2550-6169
