Evidence for Supersymmetry in the Random-Field Ising Model at D=5. Fytas, N. G.; Martín-Mayor, V.; Parisi, G.; Picco, M.; and Sourlas, N. Physical Review Letters, 122(24):240603, jun, 2019.
Evidence for Supersymmetry in the Random-Field Ising Model at D=5 [link]Paper  doi  abstract   bibtex   1 download  
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.
@article{Fytas2019,
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.},
archivePrefix = {arXiv},
arxivId = {1901.08473},
author = {Fytas, Nikolaos G. and Mart{\'{i}}n-Mayor, V{\'{i}}ctor and Parisi, Giorgio and Picco, Marco and Sourlas, Nicolas},
doi = {10.1103/PhysRevLett.122.240603},
eprint = {1901.08473},
file = {:Users/marco/Library/Application Support/Mendeley Desktop/Downloaded/Fytas et al. - 2019 - Evidence for Supersymmetry in the Random-Field Ising Model at D=5.pdf:pdf;:Users/marco/Library/Application Support/Mendeley Desktop/Downloaded/Fytas et al. - 2019 - Evidence for Supersymmetry in the Random-Field Ising Model at D=5(2).pdf:pdf},
issn = {0031-9007},
journal = {Physical Review Letters},
month = {jun},
number = {24},
pages = {240603},
title = {{Evidence for Supersymmetry in the Random-Field Ising Model at D=5}},
url = {http://arxiv.org/abs/1901.08473 http://dx.doi.org/10.1103/PhysRevLett.122.240603 https://link.aps.org/doi/10.1103/PhysRevLett.122.240603},
volume = {122},
year = {2019}
}
Downloads: 1