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One-dimensional Luttinger liquids in a two-dimensional moiré lattice

Author

Listed:
  • Pengjie Wang

    (Princeton University)

  • Guo Yu

    (Princeton University
    Princeton University)

  • Yves H. Kwan

    (University of Oxford)

  • Yanyu Jia

    (Princeton University)

  • Shiming Lei

    (Princeton University
    Rice University)

  • Sebastian Klemenz

    (Princeton University
    Fraunhofer Research Institution for Materials Recycling and Resource Strategies IWKS)

  • F. Alexandre Cevallos

    (Princeton University)

  • Ratnadwip Singha

    (Princeton University)

  • Trithep Devakul

    (Massachusetts Institute of Technology, Cambridge)

  • Kenji Watanabe

    (National Institute for Materials Science)

  • Takashi Taniguchi

    (National Institute for Materials Science)

  • Shivaji L. Sondhi

    (Princeton University
    University of Oxford)

  • Robert J. Cava

    (Princeton University)

  • Leslie M. Schoop

    (Princeton University)

  • Siddharth A. Parameswaran

    (University of Oxford)

  • Sanfeng Wu

    (Princeton University)

Abstract

The Luttinger liquid (LL) model of one-dimensional (1D) electronic systems provides a powerful tool for understanding strongly correlated physics, including phenomena such as spin–charge separation1. Substantial theoretical efforts have attempted to extend the LL phenomenology to two dimensions, especially in models of closely packed arrays of 1D quantum wires2–13, each being described as a LL. Such coupled-wire models have been successfully used to construct two-dimensional (2D) anisotropic non-Fermi liquids2–6, quantum Hall states7–9, topological phases10,11 and quantum spin liquids12,13. However, an experimental demonstration of high-quality arrays of 1D LLs suitable for realizing these models remains absent. Here we report the experimental realization of 2D arrays of 1D LLs with crystalline quality in a moiré superlattice made of twisted bilayer tungsten ditelluride (tWTe2). Originating from the anisotropic lattice of the monolayer, the moiré pattern of tWTe2 hosts identical, parallel 1D electronic channels, separated by a fixed nanoscale distance, which is tuneable by the interlayer twist angle. At a twist angle of approximately 5 degrees, we find that hole-doped tWTe2 exhibits exceptionally large transport anisotropy with a resistance ratio of around 1,000 between two orthogonal in-plane directions. The across-wire conductance exhibits power-law scaling behaviours, consistent with the formation of a 2D anisotropic phase that resembles an array of LLs. Our results open the door for realizing a variety of correlated and topological quantum phases based on coupled-wire models and LL physics.

Suggested Citation

  • Pengjie Wang & Guo Yu & Yves H. Kwan & Yanyu Jia & Shiming Lei & Sebastian Klemenz & F. Alexandre Cevallos & Ratnadwip Singha & Trithep Devakul & Kenji Watanabe & Takashi Taniguchi & Shivaji L. Sondhi, 2022. "One-dimensional Luttinger liquids in a two-dimensional moiré lattice," Nature, Nature, vol. 605(7908), pages 57-62, May.
  • Handle: RePEc:nat:nature:v:605:y:2022:i:7908:d:10.1038_s41586-022-04514-6
    DOI: 10.1038/s41586-022-04514-6
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    Cited by:

    1. Guo Yu & Pengjie Wang & Ayelet J. Uzan-Narovlansky & Yanyu Jia & Michael Onyszczak & Ratnadwip Singha & Xin Gui & Tiancheng Song & Yue Tang & Kenji Watanabe & Takashi Taniguchi & Robert J. Cava & Lesl, 2023. "Evidence for two dimensional anisotropic Luttinger liquids at millikelvin temperatures," Nature Communications, Nature, vol. 14(1), pages 1-8, December.

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