IDEAS home Printed from https://ideas.repec.org/a/nat/natcom/v15y2024i1d10.1038_s41467-024-48537-1.html
   My bibliography  Save this article

Universal scaling in real dimension

Author

Listed:
  • Giacomo Bighin

    (Universität Heidelberg)

  • Tilman Enss

    (Universität Heidelberg)

  • Nicolò Defenu

    (ETH Zürich)

Abstract

The concept of universality has shaped our understanding of many-body physics, but is mostly limited to homogenous systems. Here, we present a study of universality on a non-homogeneous graph, the long-range diluted graph (LRDG). Its scaling theory is controlled by a single parameter, the spectral dimension ds, which plays the role of the relevant parameter on complex geometries. The graph under consideration allows us to tune the value of the spectral dimension continuously also to noninteger values and to find the universal exponents as continuous functions of the dimension. By means of extensive numerical simulations, we probe the scaling exponents of a simple instance of $$O({{{{{{{\mathcal{N}}}}}}}})$$ O ( N ) symmetric models on the LRDG showing quantitative agreement with the theoretical prediction of universal scaling in real dimensions.

Suggested Citation

  • Giacomo Bighin & Tilman Enss & Nicolò Defenu, 2024. "Universal scaling in real dimension," Nature Communications, Nature, vol. 15(1), pages 1-9, December.
    • Handle: RePEc:nat:natcom:v:15:y:2024:i:1:d:10.1038_s41467-024-48537-1
    DOI: 10.1038/s41467-024-48537-1
    as

    Download full text from publisher

    File URL: https://www.nature.com/articles/s41467-024-48537-1
    File Function: Abstract
    Download Restriction: no
    File URL: https://libkey.io/10.1038/s41467-024-48537-1?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. Martin Hasenbusch, 2001. "Monte Carlo Studies Of The Three-Dimensional Ising Model In Equilibrium," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 12(07), pages 911-1009.
    2. Daniel Barredo & Vincent Lienhard & Sylvain Léséleuc & Thierry Lahaye & Antoine Browaeys, 2018. "Synthetic three-dimensional atomic structures assembled atom by atom," Nature, Nature, vol. 561(7721), pages 79-82, September.
    3. Alexander Keesling & Ahmed Omran & Harry Levine & Hannes Bernien & Hannes Pichler & Soonwon Choi & Rhine Samajdar & Sylvain Schwartz & Pietro Silvi & Subir Sachdev & Peter Zoller & Manuel Endres & Mar, 2019. "Quantum Kibble–Zurek mechanism and critical dynamics on a programmable Rydberg simulator," Nature, Nature, vol. 568(7751), pages 207-211, April.
    4. S. Helmrich & A. Arias & G. Lochead & T. M. Wintermantel & M. Buchhold & S. Diehl & S. Whitlock, 2020. "Signatures of self-organized criticality in an ultracold atomic gas," Nature, Nature, vol. 577(7791), pages 481-486, January.
    5. Avikar Periwal & Eric S. Cooper & Philipp Kunkel & Julian F. Wienand & Emily J. Davis & Monika Schleier-Smith, 2021. "Programmable interactions and emergent geometry in an array of atom clouds," Nature, Nature, vol. 600(7890), pages 630-635, December.
    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. Matthew J. O’Rourke & Garnet Kin-Lic Chan, 2023. "Entanglement in the quantum phases of an unfrustrated Rydberg atom array," Nature Communications, Nature, vol. 14(1), pages 1-10, December.
    2. Katrina Barnes & Peter Battaglino & Benjamin J. Bloom & Kayleigh Cassella & Robin Coxe & Nicole Crisosto & Jonathan P. King & Stanimir S. Kondov & Krish Kotru & Stuart C. Larsen & Joseph Lauigan & Bri, 2022. "Assembly and coherent control of a register of nuclear spin qubits," Nature Communications, Nature, vol. 13(1), pages 1-10, December.
    3. Ruoqin Zhang & Xichuan Zhao & Jinzhi Li & Di Zhou & Honglian Guo & Zhi-yuan Li & Feng Li, 2024. "Programmable photoacoustic patterning of microparticles in air," Nature Communications, Nature, vol. 15(1), pages 1-8, December.
    4. Yong-zhuang Zhou & Man-chao Zhang & Wen-bo Su & Chun-wang Wu & Yi Xie & Ting Chen & Wei Wu & Ping-xing Chen & Jie Zhang, 2024. "Tracking the extensive three-dimensional motion of single ions by an engineered point-spread function," Nature Communications, Nature, vol. 15(1), pages 1-7, December.
    5. Wenhui Xu & Chenwei Lv & Qi Zhou, 2024. "Multipolar condensates and multipolar Josephson effects," Nature Communications, Nature, vol. 15(1), pages 1-12, 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:15:y:2024:i:1:d:10.1038_s41467-024-48537-1. 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.