Force-Force Correlations in Disordered Magnets

Cathelijne ter Burg1, Felipe Bohn2, Gianfranco Durin3, Rubem Luis Sommer4, Kay Jörg Wiese1
1 CNRS-Laboratoire de Physique de l'Ecole Normale Supérieure, PSL Research University, Sorbonne Universités, UPMC, 24 rue Lhomond, 75005 Paris, France.
2 Departamento de Física Teórica e Experimental, Universidade Federal do Rio Grande do Norte, 59078-900 Natal, RN, Brazil
3 Istituto Nazionale di Ricerca Metrologica, Torino, Italy
4 Centro Brasileiro de Pesquisas Físicas, Rua Dr. Xavier Sigaud 150, Urca, 22290-180 Rio de Janeiro, RJ, Brazil


Abstract

We study experimentally the force-force correlator in Barkhausen experiments. We observe two distinct universality classes, depending on the range of spin interactions. For short-ranged elasticity, we find the universal correlator predicted by the functional renormalization group in $d=2$. For long-ranged elasticity we observe its 1-loop solution. In all cases force-force correlations grow linearly at small distances, as is assumed in the ABBM model, but in contrast to the latter are bounded at large distances. As a consequence, avalanches are anti-correlated, i.e. reduced in size, at short distances.


arXiv:2109.01197 [pdf]
Phys. Rev. Let. 129 (2022) 107205 [pdf]


Copyright (C) by Kay Wiese. Last edited Sep. 7, 2022.