Evidence for power-law Griffiths singularities in a layered Heisenberg magnet
Abstract
We study the ferromagnetic phase transition in a randomly layered Heisenberg model. A recent strong-disorder renormalization group approach [Phys. Rev. B 81, 144407 (2010)] predicted that the critical point in this system is of exotic infinite-randomness type and is accompanied by strong power-law Griffiths singularities. Here, we report results of Monte-Carlo simulations that provide numerical evidence in support of these predictions. Specifically, we investigate the finite-size scaling behavior of the magnetic susceptibility which is characterized by a non-universal power-law divergence in the Griffiths phase. In addition, we calculate the time autocorrelation function of the spins. It features a very slow decay in the Griffiths phase, following a non-universal power law in time.
Keywords
Cite
@article{arxiv.1005.5484,
title = {Evidence for power-law Griffiths singularities in a layered Heisenberg magnet},
author = {Fawaz Hrahsheh and Hatem Barghathi and Priyanka Mohan and Rajesh Narayanan and Thomas Vojta},
journal= {arXiv preprint arXiv:1005.5484},
year = {2012}
}
Comments
4 pages, 3 eps figures, submitted to the proceedings of SCES 2010