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.

Meeting Name

International Conference on Strongly Correlated Electron Systems (2010: Jun. 27-Jul. 2, Santa Fe, NM)



Keywords and Phrases

Critical points; Ferromagnetic Phase Transition; Finite-size scaling behavior; Griffiths phase; Griffiths singularities; Heisenberg magnet; Heisenberg models; Monte Carlo Simulation; Numerical evidence; Power law divergence; Power-law; Renormalization group approach; Time autocorrelation functions; Magnetic susceptibility; Statistical mechanics; Regression analysis

International Standard Serial Number (ISSN)


Document Type

Article - Conference proceedings

Document Version

Final Version

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© 2011 Institute of Physics - IOP Publishing, All rights reserved.

Publication Date

01 Jun 2011

Included in

Physics Commons