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

Nikolaos Fytas, Victor Martin-Mayor, Nicolas Sourlas, Marco Picco, Giorgio Parisi

Research output: Contribution to journalArticle

2 Citations (Scopus)
2 Downloads (Pure)

Abstract

We provide a non-trivial 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 D-2 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.
Original languageEnglish
Article number240603
Number of pages5
JournalPhysical Review Letters
Volume122
Issue number24
DOIs
Publication statusPublished - 20 Jun 2019

Fingerprint

Ising model
supersymmetry
scaling
predictions
simulation
temperature

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Evidence for Supersymmetry in the Random-Field Ising Model at D = 5. / Fytas, Nikolaos; Martin-Mayor, Victor; Sourlas, Nicolas; Picco, Marco; Parisi, Giorgio.

In: Physical Review Letters, Vol. 122, No. 24, 240603, 20.06.2019.

Research output: Contribution to journalArticle

Fytas, Nikolaos ; Martin-Mayor, Victor ; Sourlas, Nicolas ; Picco, Marco ; Parisi, Giorgio. / Evidence for Supersymmetry in the Random-Field Ising Model at D = 5. In: Physical Review Letters. 2019 ; Vol. 122, No. 24.
@article{4af89c3c657e4648acb12d6e037aba3d,
title = "Evidence for Supersymmetry in the Random-Field Ising Model at D = 5",
abstract = "We provide a non-trivial 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 D-2 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.",
author = "Nikolaos Fytas and Victor Martin-Mayor and Nicolas Sourlas and Marco Picco and Giorgio Parisi",
year = "2019",
month = "6",
day = "20",
doi = "10.1103/PhysRevLett.122.240603",
language = "English",
volume = "122",
journal = "Physical Review Letters",
issn = "0031-9007",
publisher = "American Physical Society",
number = "24",

}

TY - JOUR

T1 - Evidence for Supersymmetry in the Random-Field Ising Model at D = 5

AU - Fytas, Nikolaos

AU - Martin-Mayor, Victor

AU - Sourlas, Nicolas

AU - Picco, Marco

AU - Parisi, Giorgio

PY - 2019/6/20

Y1 - 2019/6/20

N2 - We provide a non-trivial 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 D-2 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.

AB - We provide a non-trivial 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 D-2 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.

UR - https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.122.240603

UR - http://www.scopus.com/inward/record.url?scp=85068157245&partnerID=8YFLogxK

U2 - 10.1103/PhysRevLett.122.240603

DO - 10.1103/PhysRevLett.122.240603

M3 - Article

VL - 122

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 24

M1 - 240603

ER -