Microscopic Modeling of Anisotropy Energy in Superconductors: A Computational Study

Abstract

This study presents a computational analysis of the anisotropy energy (E₁*) in superconductors using a microscopic model that incorporates lattice anisotropy and compositional effects. Three crystallographic orientations—(1, 0, 0), (1/√2, 1/√2, 0), and (1/√3, 1/√3, 1/√3)—are evaluated to quantify their impact on superconducting stability. The model parameters K₁ and K₂ are derived from hypothetical compositional hierarchies ([Max SC], [Medium SC], [Least SC], [Suppressing SC]). Results show that uniaxial alignment (1, 0, 0) yields zero anisotropy energy, while isotropic (1/√3, 1/√3, 1/√3) configurations exhibit the highest E₁* (1.2045). These findings provide insights into optimizing superconducting materials for strain resilience and flux pinning.