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Infinite randomness and quantum Griffiths effects in a classical system: The randomly layered Heisenberg magnet
Published in
Volume: 81
Issue: 14
We investigate the phase transition in a three-dimensional classical Heisenberg magnet with planar defects, i.e., disorder perfectly correlated in two dimensions. By applying a strong-disorder renormalization group, we show that the critical point has exotic infinite-randomness character. It is accompanied by strong power-law Griffiths singularities. We compute various thermodynamic observables paying particular attention to finite-size effects relevant for an experimental verification of our theory. We also study the critical dynamics within a Langevin equation approach and find it extremely slow. At the critical point, the autocorrelation function decays only logarithmically with time while it follows a nonuniversal power law in the Griffiths phase. © 2010 The American Physical Society.
About the journal
JournalPhysical Review B - Condensed Matter and Materials Physics
Open AccessNo