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arXiv · 2406.08655

Interacting holes in a gated WSe$_2$ quantum channel: valley correlations and zigzag Wigner crystal

Jarosław Pawłowski·Daniel Miravet·Maciej Bieniek·Marek Korkusinski·Justin Boddison-Chouinard·Louis Gaudreau·Adina Luican-Mayer·Pawel Hawrylak
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Abstract

We present a theory of interacting valence holes in a gate-defined one-dimensional quantum channel in a single layer of a transition metal dichalcogenide material WSe$_2$. Based on a microscopic atomistic tight-binding model and Hartree-Fock and exact configuration-interaction tools we demonstrate the possibility of symmetry-broken valley polarized states for strongly interacting holes. The interplay between interactions, perpendicular magnetic field, and the lateral confinement asymmetry together with the strong Rashba spin-orbit coupling present in WSe$_2$ material is analyzed, and its impact on valley polarization is discussed. For weaker interactions, an investigation of the pair correlation function reveals a valley-antiferromagnetic phase. For low hole densities, a formation of a zigzag Wigner crystal phase is predicted. The impact of various hole liquid phases on transport in a high mobility quasi-one dimensional channel is discussed.

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Jarosław Pawłowski, Daniel Miravet, Maciej Bieniek, Marek Korkusinski, Justin Boddison-Chouinard, Louis Gaudreau, Adina Luican-Mayer, Pawel Hawrylak. 2024-06-12. Interacting holes in a gated WSe$_2$ quantum channel: valley correlations and zigzag Wigner crystal. https://doi.org/10.1103/physrevb.110.125147

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