Evidence for supersymmetry in the random-field Ising model at D=5.



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Fytas, Nikolaos G. and Martín Mayor, Víctor and Parisi, Giorgio and Picco, Marco and Sourlas, Nicolas (2019) Evidence for supersymmetry in the random-field Ising model at D=5. Physical review letters, 122 (24). ISSN 0031-9007

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Official URL: http://dx.doi.org/10.1103/PhysRevLett.122.240603


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.

Item Type:Article
Additional Information:

© 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.

Uncontrolled Keywords:Lower Critical Dimension; Random Magnetic-Fields; Critical-Behavior; Branched Polymers; Phase-Transitions; Reduction; Exponents.
Subjects:Sciences > Physics
ID Code:56961
Deposited On:25 Sep 2019 14:34
Last Modified:01 Oct 2019 08:38

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