High-temperature superconductivity remains a key challenge in modern physics. This study identifies its superconducting state as the Planckian ground state, proposing a no-glue theory based on symmetry breaking of localized electrons in polyhedral quantum wells. Unlike conventional direct metal-to-superconductor transitions, we reveal a two-step pathway: an internal temperature-induced metal-insulator transition, followed by an electric-field-driven insulator-to-superconductor transition. The analytically derived, crystal-structure-determined formula Tc = /² accurately predicts Tc for all cuprate and iron-based superconductors. It uniformly resolves puzzles: 4 4 nematic phase, 1/8 anomaly, pseudogap-superconductivity competition, linear pseudogap decay with hole doping, and strange-metal linear resistivity. Our result yields a universal cuprate phase diagram, matching experiments and advancing the unified theory of strongly correlated many-body systems.
Xiuqing Huang (Tue,) studied this question.
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