Tomonaga-Luttinger liquid in a box: electrons confined within MoS${}_2$ mirror twin boundaries

Abstract

Two- or three-dimensional metals are usually well described by weakly interacting, fermionic quasiparticles. This concept breaks down in one dimension due to strong Coulomb interactions. There, low-energy electronic excitations are expected to be bosonic collective modes, which fractionalize into independent spin and charge density waves. Experimental research on one-dimensional metals is still hampered by their difficult realization, their limited accessibility to measurements, and by competing or obscuring effects such as Peierls distortions or zero bias anomalies. Here we overcome these difficulties by constructing a well-isolated, one-dimensional metal of finite length present in MoS${}_2$ mirror twin boundaries. Using scanning tunneling spectroscopy we measure the single-particle density of the interacting electron system as a function of energy and position in the 1D box. Comparison to theoretical modeling provides unambiguous evidence that we are observing spin-charge separation in real space.

arXiv comment13 pages, 8 figures

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Cited by in corpus (14)

• Direct Observation of One-Dimensional Peierls-Type Charge Density Wave in Twin Boundaries of Monolayer MoTe${}_2$
• Band Bending and Valence Band Quantization at Line Defects in MoS${}_2$
• Possible phason-polaron effect on purely one dimensional charge order of Mo6Se6 nanowires
• Engineering and probing atomic quantum defects in 2D semiconductors: A perspective
• Metal-insulator transition in monolayer MoS${}_2$ via contactless chemical doping
• The Sign of Three: Spin/Charge Density Waves at the Boundaries of Transition Metal Dichalcogenides
• Manipulating Hubbard-type Coulomb blockade effect of metallic wires embedded in an insulator
• One-dimensional electronic instabilities at the edges of $Mo{S}_2$
• Electronic and magnetic properties of single chalcogen vacancies in MoS${}_2$/Au(111)
• Thermodynamically driven tilt grain boundaries of monolayer crystals using catalytic liquid alloys
• Epitaxially defined Luttinger liquids on MoS${}_2$ bicrystals
• Probing the spin polarization of an Anderson impurity
• One-Dimensional Potassium Chains on Silicon Nanoribbons
• Robust Luttinger liquid state of 1D Dirac fermions in a van der Waals system Nb${}_9$Si${}_4$Te${}_{18}$