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
SN - 0031-9007
VL - 122
JO - Physical Review Letters
JF - Physical Review Letters
IS - 24
M1 - 240603
ER -