Intrinsic superconductivity and correlations in stoichiometric materials without external perturbations

Estimating the chemical and physical properties that govern the emergence of superconductivity remains a central challenge in condensed matter physics, in part because a universal indicator/descriptor analogous to band structure does not yet exist. Historically, simple empirical relations, such as the Wiedemann-Franz law first described in 1853, linked seemingly disparate phenomena like thermal and electrical conductivities in metals long before a comprehensive theoretical understanding was established. Regarding superconductivity, in this work, we introduce a phenomenological real-space approach grounded in local potential energy calculations that uses only elemental composition and atomic positions to partition superconductors from non-superconductors. These inputs are also used in Density Functional Theory (DFT), but our method eliminates the need for complex reciprocal-space computations or empirical fitting. By systematically analyzing electrostatic interactions within repeated bond units in relation to unit cell volumes, our strategy yields a discrete, integer-based classification that reliably distinguishes superconductors from non-superconductors with high accuracy. This computationally efficient and physically transparent framework offers a robust alternative to traditional approaches and provides a fresh electrostatic perspective on superconductivity. This study prioritizes a data-centric methodology to drive superconductor discovery. It is formulated in the spirit of historical empirical rules (e.g., the Wiedemann-Franz relation metals) and does not aim to affirm or dispute BCS theory.