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 -dimensional disordered system with some other correlation functions in a 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 , they fail to describe our results at .
- Received 3 February 2019
DOI:https://doi.org/10.1103/PhysRevLett.122.240603
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