Infinite-randomness criticality in a randomly layered Heisenberg magnet

Abstract

We study the ferromagnetic phase transition in a randomly layered Heisenberg magnet using large-scale Monte-Carlo simulations. Our results provide numerical evidence for the infinite-randomness scenario recently predicted within a {strong-disorder renormalization group approach}. 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. We also study the perpendicular and parallel spin-wave stiffnesses in the Griffiths phase. In agreement with the theoretical predictions, the parallel stiffness is nonzero for all temperatures $T<T_c$. In contrast, the perpendicular stiffness remains zero in part of the ordered phase, giving rise to anomalous elasticity. In addition, we calculate the in-plane correlation length which diverges already inside the disordered phase at a temperature significantly higher than $T_c$. The time autocorrelation function within model $A$ dynamics displays an ultraslow logarithmic decay at criticality and a nonuniversal power-law in the Griffiths phase.

8 pages, 8 figures, final version as published

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• Sliding phase in randomly stacked 2D superfluids/superconductors
• Helicity modulus and chiral symmetry breaking for boundary conditions with finite twist
• Anomalous elasticity in a disordered layered XY model
• Phases and Phase Transitions of the Disordered Quantum Clock Model
• Monte Carlo simulations of a disordered superconductor-metal quantum phase transition
• Quantum critical behavior of diluted quasi-one-dimensional Ising chains