Abstract
<title>Abstract</title> <p>The interplay between electronic density modulations, disorder, and superconductivity is a central theme in quantum materials. AuAgTe4, a gold-silver telluride, exhibits pressure-induced superconductivity linked to structural and electronic instabilities. Here we combine electrical transport, single-crystal X-ray diffraction, and Raman spectroscopy up to ~ 37 GPa to investigate AuAgTe4 under varying hydrostatic conditions. We identify an incommensurate modulated high-pressure phase accompanied by enhanced superconductivity, particularly under non-hydrostatic conditions, where increased local disorder and pronounced hysteresis are observed. Upon decompression superconductivity persists and even strengthens, coinciding with retained modulation despite nearly loss of long-range order. These results support an intertwined-orders scenario in which charge density modulation, disorder, and superconductivity coexist and mutually influence each other. The metastability of the disordered modulated state suggests pathways to conserve pressure-induced superconductivity without sustained pressure, offering insights for future superconducting materials and applications.</p>