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A Coordination-Based Framework for Superconductivity in Strongly Correlated Systems

Bin Li  *

Submitted:

07 April 2026

Posted:

08 April 2026

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Abstract
High-temperature superconductivity remains an open problem in condensed matter physics. While conventional and many unconventional approaches attribute superconductivity primarily to pairing mechanisms, experimental observations—including pseudogap behavior, strange-metal transport, and nanoscale inhomogeneity— suggest that pairing alone may be insufficient. We introduce a coordination-based framework in which superconductivity arises from the global organization of internal degrees of freedom associated with local electronic configurations. These degrees of freedom, modeled as effective pseudospin variables, form a system-spanning coordination manifold that stabilizes dissipationless transport, with pairing emerging as a secondary manifestation. We show that internal coordination induces an instability of the incoherent transport state, leading to global phase coherence. At the effective level, this yields a scaling relation for the transition temperature, Tc∼gm2/aψ, linking superconductivity to the strength of coordination. The framework accounts for the separation between pseudogap onset and superconducting transition, the anomalous transport properties of strange metals, and nanoscale electronic inhomogeneity, and predicts distinct coherence scales and nontrivial vortex-core structure. These results suggest that optimizing coordination of internal degrees of freedom may provide an alternative route to enhancing superconductivity.
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Copyright: This open access article is published under a Creative Commons CC BY 4.0 license, which permit the free download, distribution, and reuse, provided that the author and preprint are cited in any reuse.
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