IDEAS home Printed from https://ideas.repec.org/a/nat/natcom/v16y2025i1d10.1038_s41467-025-63320-6.html
   My bibliography  Save this article

Designing Hall crystals with variable Chern numbers

Author

Listed:
  • Nisarga Paul

    (Massachusetts Institute of Technology)

  • Gal Shavit

    (California Institute of Technology
    California Institute of Technology)

  • Liang Fu

    (Massachusetts Institute of Technology)

Abstract

Topological electronic crystals are electron crystals in which spontaneously broken translation symmetry coexists with or gives rise to a nontrivial topological response. Here, we introduce a novel platform and analytical theory for realizing interaction-induced Hall crystals, a class of topological electronic crystals, with various Chern numbers C. The platform consists of a two-dimensional semiconductor subjected to an out-of-plane magnetic field and one-dimensional modulation, which can be realized by moiré or dielectric engineering. Interactions drive the system to spontaneously break the residual translational symmetry, resulting in anisotropic Hall crystals with various C, including ∣C∣ > 1, tunable by field. Remarkably, these persist across continuous ranges of filling and field, and the global phase diagram can be understood in a unified manner.

Suggested Citation

  • Nisarga Paul & Gal Shavit & Liang Fu, 2025. "Designing Hall crystals with variable Chern numbers," Nature Communications, Nature, vol. 16(1), pages 1-7, December.
    • Handle: RePEc:nat:natcom:v:16:y:2025:i:1:d:10.1038_s41467-025-63320-6
    DOI: 10.1038/s41467-025-63320-6
    as

    Download full text from publisher

    File URL: https://www.nature.com/articles/s41467-025-63320-6
    File Function: Abstract
    Download Restriction: no
    File URL: https://libkey.io/10.1038/s41467-025-63320-6?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
    ---><---

    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:16:y:2025:i:1:d:10.1038_s41467-025-63320-6. 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.

    We have no bibliographic references for this item. You can help adding them by using 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.