The T=0 RFIM on a Bethe lattice: correlation functions along the hysteresis loop

2011/07/04 by Xavi Illa, Xavier Illa, Illa, Xavier +2
Physics and Astronomy · #Complex Network Analysis Techniques #Opinion Dynamics and Social Influence #Theoretical and Computational Physics #cond-mat.dis-nn

paper · pdf · doi:10.48550/arxiv.1107.0743

13 pages, 7 figures

arxiv created 2011/07/04 · arxiv updated 2011/07/06

Abstract

We consider the Gaussian random field Ising model (RFIM) on the Bethe lattice at zero temperature in the presence of a uniform external field and derive the exact expressions of the two-point spin-spin and spin-random field correlation functions along the saturation hysteresis loop. To complete the analytical description and suggest possible approximations for the RFIM on Euclidian lattices we also compute the corresponding direct correlation functions (or proper vertices) and show that they decay rapidly with the distance in the weak-coupling/large disorder regime; their range, however, is not limited to the nearest-neighbor distance.

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