2026-06-29T07:51:20Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/135462023-08-28T13:06:37Zcom_20.500.14352_14col_20.500.14352_15
Evidence for supersymmetry in the random-field Ising model at D=5.
Fytas, Nikolaos G.
Martín Mayor, Víctor
Parisi, Giorgio
Picco, Marco
Sourlas, Nicolas
53
Lower Critical Dimension
Random Magnetic-Fields
Critical-Behavior
Branched Polymers
Phase-Transitions
Reduction
Exponents.
Física (Física)
22 Física
© 2019 American Physical Society.
We acknowledge partial financial support from Ministerio de Economia, Industria y Competitividad (MINECO, Spain) through Grant No. FIS2015-65078-C2, and from the European Research Council (ERC) under the European Union's Horizon 2020 research and innovation program (Grant No. 694925). N. G. F. and M. P. were supported by a Royal Society International Exchanges Scheme 2016/R1.
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 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.
Unión Europea. H2020
Ministerio de Economía y Competitividad (MINECO)
Royal Society International Exchanges Scheme
Depto. de Física Teórica
Fac. de Ciencias Físicas
TRUE
pub
2023-06-17T13:27:49Z
2023-06-17T13:27:49Z
2019-06-20
journal article
https://hdl.handle.net/20.500.14352/13546
0031-9007
10.1103/PhysRevLett.122.240603
eng
LoTGlasSy (694925)
FIS2015-65078-C2
2016/R1
open access
application/pdf
American Physical Society