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Multifractality in spin glasses

Published:2024-01-04 Issue:2 Volume:121 Page:
ISSN:0027-8424
Container-title:Proceedings of the National Academy of Sciences
language:en
Short-container-title:Proc. Natl. Acad. Sci. U.S.A.

Author:

Baity-Jesi Marco¹^ORCID,Calore Enrico²,Cruz Andrés³⁴,Fernández Luis Antonio⁵,Gil-Narvión José Miguel⁴,González-Adalid Pemartín Isidoro⁵^ORCID,Gordillo-Guerrero Antonio⁶⁷,Íñiguez David³⁴⁸,Maiorano Andrea⁹^ORCID,Marinari Enzo¹⁰,Martín-Mayor Víctor⁵^ORCID,Moreno-Gordo Javier³⁴⁷¹¹^ORCID,Muñoz Sudupe Antonio⁵,Navarro Denis¹²^ORCID,Paga Ilaria¹³^ORCID,Parisi Giorgio¹⁰^ORCID,Pérez-Gaviro Sergio³⁴,Ricci-Tersenghi Federico¹⁰^ORCID,Ruiz-Lorenzo Juan Jesús⁷¹¹^ORCID,Schifano Sebastiano Fabio¹⁴^ORCID,Seoane Beatriz¹⁵^ORCID,Tarancón Alfonso³⁴,Yllanes David⁴¹⁶^ORCID

Affiliation:

1. Eawag, CH-8600 Dübendorf, Switzerland

2. Dipartimento di Fisica e Scienze della Terra, Università di Ferrara and INFN, 44122 Ferrara, Italy

3. Departamento de Física Teórica, Universidad de Zaragoza, 50009 Zaragoza, Spain

4. Instituto de Biocomputacíon y Física de Sistemas Complejos (BIFI), 50018 Zaragoza, Spain

5. Departamento de Física Teórica, Universidad Complutense, 28040 Madrid, Spain

6. Departamento de Ingeniería Eléctrica, Electrónica y Automática, Universidad de Extremadura, 10003 Cáceres, Spain

7. Instituto de Computacíon Científica Avanzada (ICCAEx), Universidad de Extremadura, 06006 Badajoz, Spain

8. Fundación Agencia Aragonesa para la Investigación y el Desarrollo (ARAID), Diputacíon General de Aragón, 50018 Zaragoza, Spain

9. Dipartimento di Biotecnologie, Chimica e Farmacia, Universitá degli studi di Siena, 3100 Siena and Istituto Nazionale di Fisica Nucleare (INFN), 00185 Rome, Italy

10. Dipartimento di Fisica, Sapienza Università di Roma, and Consiglio Nazionale delle Ricerche-Nanotec, Rome Unit and Istituto Nazionale di Fisica Nucleare (INFN), 00185 Rome, Italy

11. Departamento de Física, Universidad de Extremadura, 06006 Badajoz, Spain

12. Departamento de Ingeniería, Electrónica y Comunicaciones and Instituto de Investigación en Ingeniería de Aragón (I3A), Universidad de Zaragoza, 50018 Zaragoza, Spain

13. Institute of Nanotechnology, Consiglio Nazionale delle Ricerche, I-00185 Rome, Italy

14. Dipartimento di Scienze dell’Ambiente e della Prevenzione, Universitá di Ferrara e INFN Sezione di Ferrara, I-44122 Ferrara, Italy

15. Université Paris-Saclay, CNRS, Institut National de Recherche en Informatique et en Automatique (INRIA) Tau team, Laboratoire Interdisciplinaire des Sciences du Numérique (LISN), 91190, Gif-sur-Yvette, France

16. Chan Zuckerberg Biohub, San Francisco, CA 94158

Abstract

We unveil the multifractal behavior of Ising spin glasses in their low-temperature phase. Using the Janus II custom-built supercomputer, the spin-glass correlation function is studied locally. Dramatic fluctuations are found when pairs of sites at the same distance are compared. The scaling of these fluctuations, as the spin-glass coherence length grows with time, is characterized through the computation of the singularity spectrum and its corresponding Legendre transform. A comparatively small number of site pairs controls the average correlation that governs the response to a magnetic field. We explain how this scenario of dramatic fluctuations (at length scales smaller than the coherence length) can be reconciled with the smooth, self-averaging behavior that has long been considered to describe spin-glass dynamics.

Funder

Simons Foundation

Ministerio de Ciencia e Innovación

Ministerio de Ciencia, Innovación y Universidades

Ministerio de Universidades

Regione Lazio

Ministero dell'Università e della Ricerca

Publisher

Proceedings of the National Academy of Sciences

Subject

Multidisciplinary

Link

https://pnas.org/doi/pdf/10.1073/pnas.2312880120

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