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

Kavli Affiliate: Jeffrey B. Neaton

| First 5 Authors: Tiancong Zhu, Wei Ruan, Yan-Qi Wang, Hsin-Zon Tsai, Shuopei Wang

| Summary:

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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