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.
ASJC Scopus subject areas
- Physics and Astronomy(all)
Fytas, N., Martin-Mayor, V., Sourlas, N., Picco, M., & Parisi, G. (2019). Evidence for Supersymmetry in the Random-Field Ising Model at D = 5. Physical Review Letters, 122(24), . https://doi.org/10.1103/PhysRevLett.122.240603