Unconventional superconductivity presents a defining challenge in physics. Prevailing theoretical frameworks have predominantly emphasized electrons, largely neglecting the rich physics inherent in the lattice. Conventional phonon theory omits quantum many-body effects of the nuclei, leading to misleading structural phase diagrams and an unsound foundation for superconducting theory. Here, by incorporating nuclear quantum many-body effects within first-principles calculations, we discover a lattice quantum disordered phase in superconductors ${\mathrm{H}}_3\mathrm{S}$ and ${\mathrm{L}\mathrm{a}}_3{\mathrm{N}\mathrm{i}}_2{\mathrm{O}}_7$. This phase occupies a triangular region in the $P\text{−}T$ phase diagram, whose left boundary aligns precisely with $T_c$ of the left flank of the superconducting dome. Its $T_c^{\max }$ coincides with the dome’s peak, identifying this phase as both the origin of superconducting transition on the left flank and a key ingredient of the pairing mechanism. Our findings advance the understanding of unconventional superconductivity and establish lattice quantum disorder as a unifying framework, both for predicting new superconductors and for elucidating phenomena in a broader context of condensed matter physics.

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• Structural phase transition
• Superconducting phase transition
• Transition temperature
• Unconventional superconductors
• Density functional theory
• First-principles calculations
• Machine learning
• Molecular dynamics
• Path-integral methods