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 language | English |
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Article number | 240603 |
Number of pages | 5 |
Journal | Physical Review Letters |
Volume | 122 |
Issue number | 24 |
DOIs | |
Publication status | Published - 20 Jun 2019 |
ASJC Scopus subject areas
- Physics and Astronomy(all)
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Nikos Fytas
- Research Centre for Fluid and Complex Systems - Assistant Professor (Research)
Person: Teaching and Research