Imaging gate-tunable Tomonaga-Luttinger liquids in 1H-MoSe${}_2$ mirror twin boundaries

Abstract

One-dimensional electron systems (1DESs) exhibit properties that are fundamentally different from higher-dimensional systems. For example, electron-electron interactions in 1DESs have been predicted to induce Tomonaga-Luttinger liquid behavior. Naturally-occurring grain boundaries in single-layer semiconducting transition metal dichalcogenides provide 1D conducting channels that have been proposed to host Tomonaga-Luttinger liquids, but charge density wave physics has also been suggested to explain their behavior. Clear identification of the electronic ground state of this system has been hampered by an inability to electrostatically gate such boundaries and thereby tune their charge carrier concentration. Here we present a scanning tunneling microscopy/spectroscopy study of gate-tunable mirror twin boundaries (MTBs) in single-layer 1H-MoSe${}_2$ devices. Gating here enables STM spectroscopy to be performed for different MTB electron densities, thus allowing precise characterization of electron-electron interaction effects. Visualization of MTB electronic structure under these conditions allows unambiguous identification of collective density wave excitations having two distinct velocities, in quantitative agreement with the spin-charge separation predicted by finite-length Tomonaga-Luttinger-liquid theory.

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References in corpus (9)

• Spin-charge separation and localization in one-dimension
• Probing spin-charge separation in a Tomonaga-Luttinger liquid
• Angle resolved photoemission spectroscopy reveals spin charge separation in metallic MoSe2 grain boundary
• Direct Observation of One-Dimensional Peierls-Type Charge Density Wave in Twin Boundaries of Monolayer MoTe${}_2$
• Bosonization of strongly interacting electrons
• Local Spectral Weight of a Luttinger Liquid: Effects from Edges and Impurities
• Non-Equilibrium Transport Through a Gate-Controlled Barrier on the Quantum Spin Hall Edge
• Renormalization of impurity scattering in one-dimensional interacting electron systems in magnetic field
• Manipulating Hubbard-type Coulomb blockade effect of metallic wires embedded in an insulator

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