A Universal Hybrid Model for Superconducting Properties Across Material Classes

Integrating Empirical Parameters and Crystallographic Anisotropy to Predict Critical Temperature and Coherence Behavior in Cuprates, Iron-Based, and Conventional Superconductors

Abstract

We present a comprehensive theoretical framework predicting anisotropic superconducting properties for four material classes (cuprates, iron-based, heavy fermions, and conventional superconductors). The model combines empirical composition parameters with crystallographic anisotropy factors, achieving R² > 0.90 for critical temperature (Tₑ) prediction in cuprates and conventional systems. Heavy fermion systems require incorporation of Kondo temperature (T_K) effects, yielding R² = 0.82 when T_K/Tₑ > 3. The model demonstrates <5% error in Jₑ prediction for YBCO at 77K and <15% for FeSe at 4K