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Evidence for power-law Griffiths singularities in a layered Heisenberg magnet

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arxiv 1005.5484 v1 pith:KBW2C5VJ submitted 2010-05-29 cond-mat.str-el cond-mat.dis-nncond-mat.stat-mech

Evidence for power-law Griffiths singularities in a layered Heisenberg magnet

classification cond-mat.str-el cond-mat.dis-nncond-mat.stat-mech
keywords griffithsphasepower-lawevidenceheisenberglayerednon-universalsingularities
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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