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While Landau's Fermi liquid theory provides the standard description for two-and three-dimensional (2D/3D) conductors, the physics of interactingone-dimensional (1D) conductors is governed by the distinct Luttinger liquid(LL) theory. Can a LL-like state, in which electronic excitations arefractionalized modes, emerge in a 2D system as a stable zero-temperature phase?This long-standing question, first brought up by Anderson decades ago, iscrucial in the study of non-Fermi liquids but remains unsettled. A recentexperiment identified a moir\'e superlattice of twisted bilayer tungstenditelluride (tWTe_2) with a small interlayer twist angle as a 2D host of the LLphysics at temperatures of a few kelvins. Here we report experimental evidencefor a 2D anisotropic LL state in a substantially reduced temperature regime,down to at least 50 mK, spontaneously formed in a tWTe_2 system with a twistangle of ~ 3 degree. While the system is metallic-like and nearly isotropicabove 2 K, a dramatically enhanced electronic anisotropy develops in themillikelvin regime, featuring distinct transport behaviors along two orthogonalin-plane directions. In the strongly anisotropic phase, we observe transportcharacteristics of a 2D LL phase, i.e., the universal power law scalingbehaviors in across-wire conductance and a zero-bias dip in the differentialresistance along the wire direction. Our results represent a step forward inthe search for stable LL physics beyond 1D and related unconventional quantummatter.

Evidence for Two Dimensional Anisotropic Luttinger Liquids at Millikelvin Temperatures