Evidence for Supersymmetry in the Random-Field Ising Model at D=5

Nikolaos G. Fytas, Víctor Martín-Mayor, Giorgio Parisi, Marco Picco, and Nicolas Sourlas
Phys. Rev. Lett. 122, 240603 – Published 20 June 2019
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Abstract

We provide a nontrivial test of supersymmetry in the random-field Ising model at five spatial dimensions, by means of extensive zero-temperature numerical simulations. Indeed, supersymmetry relates correlation functions in a D-dimensional disordered system with some other correlation functions in a D2 clean system. We first show how to check these relationships in a finite-size scaling calculation and then perform a high-accuracy test. While the supersymmetric predictions are satisfied even to our high accuracy at D=5, they fail to describe our results at D=4.

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  • Received 3 February 2019

DOI:https://doi.org/10.1103/PhysRevLett.122.240603

© 2019 American Physical Society

Physics Subject Headings (PhySH)

Statistical Physics & Thermodynamics

Authors & Affiliations

Nikolaos G. Fytas1, Víctor Martín-Mayor2,3, Giorgio Parisi4, Marco Picco5, and Nicolas Sourlas6

  • 1Applied Mathematics Research Centre, Coventry University, Coventry CV1 5FB, United Kingdom
  • 2Departamento de Física Téorica I, Universidad Complutense, 28040 Madrid, Spain
  • 3Instituto de Biocomputacíon y Física de Sistemas Complejos (BIFI), 50009 Zaragoza, Spain
  • 4Dipartimento di Fisica, Sapienza Università di Roma, Piazzale Aldo Moro 2, 00185 Rome, Italy and INFN, Sezione di Roma I, IPCF—CNR, Piazzale A. Moro 2, 00185 Rome, Italy
  • 5Laboratoire de Physique Théorique et Hautes Energies, UMR7589, Sorbonne Université et CNRS, 4 Place Jussieu, 75252 Paris Cedex 05, France
  • 6Laboratoire de Physique Théorique de l’Ecole Normale Supérieure (Unité Mixte de Recherche du CNRS et de l’Ecole Normale Supérieure, associée à l’Université Pierre et Marie Curie, PARIS VI), 24 rue Lhomond, 75231 Paris Cedex 05, France

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Issue

Vol. 122, Iss. 24 — 21 June 2019

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