The low-temperature metallic phase of $1\mathrm{T}\text{−}{\mathrm{TaS}}_2$ may originate from the current- and voltage-driven destabilization of the commensurate charge density wave in a strongly correlated Mott-insulator, alongside the robust yet rarely realized influence of intrinsic electronic distortions. Electrical pulse-driven transport, combined with the second harmonic response, reveals abrupt switching, negative differential resistance, and multiscale domain-wall reorganization. The free-energy analysis identifies a critical order parameter threshold for the Mott-metal transition, with scaling exponents ($\beta \approx 1.3$) consistent with two-dimensional percolation. The sparse limit fractal dimension $D_f\approx 0.3$ at 10 K, rising to $\approx 0.9$ at 300 K, reflects the hierarchical evolution of the conductive pathways throughout the temperature. These findings establish a direct connection between fractal percolation, pulse-induced instabilities, and correlated electron transport, offering a framework for controlled access to nonequilibrium phase transitions in low-dimensional quantum materials.

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• Charge density waves
• Percolation
• 2-dimensional systems
• Devices
• Mott insulators
• Cryogenics
• Fractal analysis
• Percolation theory
• Resistivity measurements