Evidence for Two Dimensional Anisotropic Luttinger Liquids at Millikelvin Temperatures
arXiv:2307.15881 · doi:10.1038/s41467-023-42821-2
Abstract
While Landau's Fermi liquid theory provides the standard description for two- and three-dimensional (2D/3D) conductors, the physics of interacting one-dimensional (1D) conductors is governed by the distinct Luttinger liquid (LL) theory. Can a LL-like state, in which electronic excitations are fractionalized modes, emerge in a 2D system as a stable zero-temperature phase? This long-standing question, first brought up by Anderson decades ago, is crucial in the study of non-Fermi liquids but remains unsettled. A recent experiment identified a moiré superlattice of twisted bilayer tungsten ditelluride (tWTe_2) with a small interlayer twist angle as a 2D host of the LL physics at temperatures of a few kelvins. Here we report experimental evidence for 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 twist angle of ~ 3 degree. While the system is metallic-like and nearly isotropic above 2 K, a dramatically enhanced electronic anisotropy develops in the millikelvin regime, featuring distinct transport behaviors along two orthogonal in-plane directions. In the strongly anisotropic phase, we observe transport characteristics of a 2D LL phase, i.e., the universal power law scaling behaviors in across-wire conductance and a zero-bias dip in the differential resistance along the wire direction. Our results represent a step forward in the search for stable LL physics beyond 1D and related unconventional quantum matter.
24 pages, 4 main figures and 10 extended data figures
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- From Fractional Quantum Anomalous Hall Smectics to Polar Smectic Metals: Nontrivial Interplay Between Electronic Liquid Crystal Order and Topological Order in Correlated Topological Flat Bands
- Twisted coupled wire model for a moiré sliding Luttinger liquid
- Twistronics and moiré superlattice physics in 2D transition metal dichalcogenides
- The Detection of Unconventional Quantum Oscillations in Insulating 2D Materials
- Strain-dependent one-dimensional confinement channels in twisted bilayer 1T-WTe
- Breaking of Lorentz invariance caused by the interplay between spin-orbit interaction and transverse phonon modes in quantum wires
- Scalable and deterministic construction of moiré superlattice in 2D materials using stressor films
- Coupled-wire descriptions of unconventional quantum states in twisted nanostructures