IDEAS home Printed from https://ideas.repec.org/a/nat/natcom/v13y2022i1d10.1038_s41467-022-34043-9.html
   My bibliography  Save this article

Observation of gapped Dirac cones in a two-dimensional Su-Schrieffer-Heeger lattice

Author

Listed:
  • Daiyu Geng

    (Chinese Academy of Sciences
    University of Chinese Academy of Sciences)

  • Hui Zhou

    (Chinese Academy of Sciences
    University of Chinese Academy of Sciences)

  • Shaosheng Yue

    (Chinese Academy of Sciences
    University of Chinese Academy of Sciences)

  • Zhenyu Sun

    (Chinese Academy of Sciences
    University of Chinese Academy of Sciences)

  • Peng Cheng

    (Chinese Academy of Sciences
    University of Chinese Academy of Sciences)

  • Lan Chen

    (Chinese Academy of Sciences
    University of Chinese Academy of Sciences
    Songshan Lake Materials Laboratory)

  • Sheng Meng

    (Chinese Academy of Sciences
    University of Chinese Academy of Sciences
    Songshan Lake Materials Laboratory
    Peking University)

  • Kehui Wu

    (Chinese Academy of Sciences
    University of Chinese Academy of Sciences
    Songshan Lake Materials Laboratory
    Peking University)

  • Baojie Feng

    (Chinese Academy of Sciences
    University of Chinese Academy of Sciences
    Peking University)

Abstract

The Su-Schrieffer-Heeger (SSH) model in a two-dimensional rectangular lattice features gapless or gapped Dirac cones with topological edge states along specific peripheries. While such a simple model has been recently realized in photonic/acoustic lattices and electric circuits, its material realization in condensed matter systems is still lacking. Here, we study the atomic and electronic structure of a rectangular Si lattice on Ag(001) by angle-resolved photoemission spectroscopy and theoretical calculations. We demonstrate that the Si lattice hosts gapped Dirac cones at the Brillouin zone corners. Our tight-binding analysis reveals that the Dirac bands can be described by a 2D SSH model with anisotropic polarizations. The gap of the Dirac cone is driven by alternative hopping amplitudes in one direction and staggered potential energies in the other one and hosts topological edge states. Our results establish an ideal platform to explore the rich physical properties of the 2D SSH model.

Suggested Citation

  • Daiyu Geng & Hui Zhou & Shaosheng Yue & Zhenyu Sun & Peng Cheng & Lan Chen & Sheng Meng & Kehui Wu & Baojie Feng, 2022. "Observation of gapped Dirac cones in a two-dimensional Su-Schrieffer-Heeger lattice," Nature Communications, Nature, vol. 13(1), pages 1-6, December.
    • Handle: RePEc:nat:natcom:v:13:y:2022:i:1:d:10.1038_s41467-022-34043-9
    DOI: 10.1038/s41467-022-34043-9
    as

    Download full text from publisher

    File URL: https://www.nature.com/articles/s41467-022-34043-9
    File Function: Abstract
    Download Restriction: no
    File URL: https://libkey.io/10.1038/s41467-022-34043-9?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Yuanbo Zhang & Yan-Wen Tan & Horst L. Stormer & Philip Kim, 2005. "Experimental observation of the quantum Hall effect and Berry's phase in graphene," Nature, Nature, vol. 438(7065), pages 201-204, November.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Anh-Luan Phan & Dai-Nam Le, 2021. "Electronic transport in two-dimensional strained Dirac materials under multi-step Fermi velocity barrier: transfer matrix method for supersymmetric systems," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 94(8), pages 1-16, August.
    2. Yoonseok Hwang & Jun-Won Rhim & Bohm-Jung Yang, 2021. "Geometric characterization of anomalous Landau levels of isolated flat bands," Nature Communications, Nature, vol. 12(1), pages 1-9, December.
    3. M. T. Greenaway & P. Kumaravadivel & J. Wengraf & L. A. Ponomarenko & A. I. Berdyugin & J. Li & J. H. Edgar & R. Krishna Kumar & A. K. Geim & L. Eaves, 2021. "Graphene’s non-equilibrium fermions reveal Doppler-shifted magnetophonon resonances accompanied by Mach supersonic and Landau velocity effects," Nature Communications, Nature, vol. 12(1), pages 1-6, December.
    4. Zheyu Cheng & Yi-Jun Guan & Haoran Xue & Yong Ge & Ding Jia & Yang Long & Shou-Qi Yuan & Hong-Xiang Sun & Yidong Chong & Baile Zhang, 2024. "Three-dimensional flat Landau levels in an inhomogeneous acoustic crystal," Nature Communications, Nature, vol. 15(1), pages 1-8, December.
    5. Timon Rabczuk & Mohammad Reza Azadi Kakavand & Raahul Palanivel Uma & Ali Hossein Nezhad Shirazi & Meysam Makaremi, 2018. "Thermal Conductance along Hexagonal Boron Nitride and Graphene Grain Boundaries," Energies, MDPI, vol. 11(6), pages 1-14, June.
    6. Talia Tene & Nataly Bonilla García & Miguel Ángel Sáez Paguay & John Vera & Marco Guevara & Cristian Vacacela Gomez & Stefano Bellucci, 2024. "Dataset for Electronics and Plasmonics in Graphene, Silicene, and Germanene Nanostrips," Data, MDPI, vol. 9(2), pages 1-18, January.
    7. Talal Yusaf & Abu Shadate Faisal Mahamude & Kaniz Farhana & Wan Sharuzi Wan Harun & Kumaran Kadirgama & Devarajan Ramasamy & Mohd Kamal Kamarulzaman & Sivarao Subramonian & Steve Hall & Hayder Abed Dh, 2022. "A Comprehensive Review on Graphene Nanoparticles: Preparation, Properties, and Applications," Sustainability, MDPI, vol. 14(19), pages 1-32, September.
    8. Lijun Zhu & Xiaoqiang Liu & Lin Li & Xinyi Wan & Ran Tao & Zhongniu Xie & Ji Feng & Changgan Zeng, 2023. "Signature of quantum interference effect in inter-layer Coulomb drag in graphene-based electronic double-layer systems," Nature Communications, Nature, vol. 14(1), pages 1-7, December.
    9. Vladimir S. Prudkovskiy & Yiran Hu & Kaimin Zhang & Yue Hu & Peixuan Ji & Grant Nunn & Jian Zhao & Chenqian Shi & Antonio Tejeda & David Wander & Alessandro Cecco & Clemens B. Winkelmann & Yuxuan Jian, 2022. "An epitaxial graphene platform for zero-energy edge state nanoelectronics," Nature Communications, Nature, vol. 13(1), pages 1-11, December.
    10. Mussad M. Alzahrani & Anurag Roy & Senthilarasu Sundaram & Tapas K. Mallick, 2021. "Investigation of Thermal Stress Arising in a Graphene Neutral Density Filter for Concentrated Photovoltaic System," Energies, MDPI, vol. 14(12), pages 1-9, June.
    11. Byungmin Sohn & Jeong Rae Kim & Choong H. Kim & Sangmin Lee & Sungsoo Hahn & Younsik Kim & Soonsang Huh & Donghan Kim & Youngdo Kim & Wonshik Kyung & Minsoo Kim & Miyoung Kim & Tae Won Noh & Changyoun, 2021. "Observation of metallic electronic structure in a single-atomic-layer oxide," Nature Communications, Nature, vol. 12(1), pages 1-8, December.
    12. Nauman Javed, Rana Muhammad & Al-Othman, Amani & Tawalbeh, Muhammad & Olabi, Abdul Ghani, 2022. "Recent developments in graphene and graphene oxide materials for polymer electrolyte membrane fuel cells applications," Renewable and Sustainable Energy Reviews, Elsevier, vol. 168(C).
    13. Jack Howard & Joshua Steier & Neel Haldolaarachchige & Kalani Hettiarachchilage, 2021. "Computational Prediction of New Series of Topological Ternary Compounds La X S ( X = Si, Ge, Sn) from First-Principles," J, MDPI, vol. 4(4), pages 1-12, September.
    14. Qiangsheng Lu & Jacob Cook & Xiaoqian Zhang & Kyle Y. Chen & Matthew Snyder & Duy Tung Nguyen & P. V. Sreenivasa Reddy & Bingchao Qin & Shaoping Zhan & Li-Dong Zhao & Pawel J. Kowalczyk & Simon A. Bro, 2022. "Realization of unpinned two-dimensional dirac states in antimony atomic layers," Nature Communications, Nature, vol. 13(1), pages 1-8, December.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:nat:natcom:v:13:y:2022:i:1:d:10.1038_s41467-022-34043-9. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.nature.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.