Energy-Driven Correlation of Texture and Composition with Anisotropic Superconducting Behavior in EuIn₂As₂₋ₓPₓ Zintl Compounds

Abstract

This study presents a unified theoretical and empirical framework correlating crystallographic texture, elemental composition, and superconducting properties in the Zintl-type compound series EuIn₂As₂₋ₓPₓ (0 ≤ x ≤ 2). By redefining the superconductivity composition descriptor (%Si) as a weighted average of Eu, In, As, and P contributions, and the texture factor (A) as a weighted sum of orientation components (cube, Goss, gamma, random), an empirical model is developed to predict an energy term EE (in kJ/m³) associated with magnetic anisotropy and superconductivity. Regression analysis yields high R² values for models linking energy with critical temperature (TcT_c), critical current density (JcJ_c), coherence length (ξ\xi), vortex pinning energy (U0U_0), and penetration depth (λ\lambda). These results support the role of EE as a central unifying descriptor for superconducting behavior in textured Zintl compounds