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Torsional periodic lattice distortions and diffraction of twisted 2D materials

Author

Listed:
  • Suk Hyun Sung

    (University of Michigan)

  • Yin Min Goh

    (University of Michigan)

  • Hyobin Yoo

    (Sogang University)

  • Rebecca Engelke

    (Harvard University)

  • Hongchao Xie

    (University of Michigan)

  • Kuan Zhang

    (University of Minnesota)

  • Zidong Li

    (University of Michigan)

  • Andrew Ye

    (University of Chicago)

  • Parag B. Deotare

    (University of Michigan
    University of Michigan)

  • Ellad B. Tadmor

    (University of Minnesota)

  • Andrew J. Mannix

    (Stanford University)

  • Jiwoong Park

    (University of Chicago
    University of Chicago)

  • Liuyan Zhao

    (University of Michigan)

  • Philip Kim

    (Harvard University)

  • Robert Hovden

    (University of Michigan
    University of Michigan)

Abstract

Twisted 2D materials form complex moiré structures that spontaneously reduce symmetry through picoscale deformation within a mesoscale lattice. We show twisted 2D materials contain a torsional displacement field comprised of three transverse periodic lattice distortions (PLD). The torsional PLD amplitude provides a single order parameter that concisely describes the structural complexity of twisted bilayer moirés. Moreover, the structure and amplitude of a torsional periodic lattice distortion is quantifiable using rudimentary electron diffraction methods sensitive to reciprocal space. In twisted bilayer graphene, the torsional PLD begins to form at angles below 3.89° and the amplitude reaches 8 pm around the magic angle of 1. 1°. At extremely low twist angles (e.g. below 0.25°) the amplitude increases and additional PLD harmonics arise to expand Bernal stacked domains separated by well defined solitonic boundaries. The torsional distortion field in twisted bilayer graphene is analytically described and has an upper bound of 22.6 pm. Similar torsional distortions are observed in twisted WS2, CrI3, and WSe2/MoSe2.

Suggested Citation

  • Suk Hyun Sung & Yin Min Goh & Hyobin Yoo & Rebecca Engelke & Hongchao Xie & Kuan Zhang & Zidong Li & Andrew Ye & Parag B. Deotare & Ellad B. Tadmor & Andrew J. Mannix & Jiwoong Park & Liuyan Zhao & Ph, 2022. "Torsional periodic lattice distortions and diffraction of twisted 2D materials," Nature Communications, Nature, vol. 13(1), pages 1-8, December.
    • Handle: RePEc:nat:natcom:v:13:y:2022:i:1:d:10.1038_s41467-022-35477-x
    DOI: 10.1038/s41467-022-35477-x
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    References listed on IDEAS

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    1. Benjamin H. Savitzky & Ismail El Baggari & Alemayehu S. Admasu & Jaewook Kim & Sang-Wook Cheong & Robert Hovden & Lena F. Kourkoutis, 2017. "Bending and breaking of stripes in a charge ordered manganite," Nature Communications, Nature, vol. 8(1), pages 1-6, December.
    2. Yuan Cao & Valla Fatemi & Shiang Fang & Kenji Watanabe & Takashi Taniguchi & Efthimios Kaxiras & Pablo Jarillo-Herrero, 2018. "Unconventional superconductivity in magic-angle graphene superlattices," Nature, Nature, vol. 556(7699), pages 43-50, April.
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    Cited by:

    1. Mengqi Huang & Zeliang Sun & Gerald Yan & Hongchao Xie & Nishkarsh Agarwal & Gaihua Ye & Suk Hyun Sung & Hanyi Lu & Jingcheng Zhou & Shaohua Yan & Shangjie Tian & Hechang Lei & Robert Hovden & Rui He , 2023. "Revealing intrinsic domains and fluctuations of moiré magnetism by a wide-field quantum microscope," Nature Communications, Nature, vol. 14(1), pages 1-7, December.
    2. Madeline Winkle & Isaac M. Craig & Stephen Carr & Medha Dandu & Karen C. Bustillo & Jim Ciston & Colin Ophus & Takashi Taniguchi & Kenji Watanabe & Archana Raja & Sinéad M. Griffin & D. Kwabena Bediak, 2023. "Rotational and dilational reconstruction in transition metal dichalcogenide moiré bilayers," Nature Communications, Nature, vol. 14(1), pages 1-11, December.
    3. Yuan Hou & Jingzhuo Zhou & Zezhou He & Juzheng Chen & Mengya Zhu & HengAn Wu & Yang Lu, 2024. "Tuning instability in suspended monolayer 2D materials," Nature Communications, Nature, vol. 15(1), pages 1-9, December.
    4. Senlei Li & Zeliang Sun & Nathan J. McLaughlin & Afsana Sharmin & Nishkarsh Agarwal & Mengqi Huang & Suk Hyun Sung & Hanyi Lu & Shaohua Yan & Hechang Lei & Robert Hovden & Hailong Wang & Hua Chen & Li, 2024. "Observation of stacking engineered magnetic phase transitions within moiré supercells of twisted van der Waals magnets," Nature Communications, Nature, vol. 15(1), pages 1-9, December.

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