Scaling Behavior of the Heisenberg Model in Three Dimensions

Abstract

We report on extensive numerical simulations of the three-dimensional Heisenberg model and its analysis through finite-size scaling of Lee-Yang zeros. Besides the critical regime, we also investigate scaling in the ferromagnetic phase. We show that, in this case of broken symmetry, the corrections to scaling contain information on the Goldstone modes. We present a comprehensive Lee-Yang analysis, including the density of zeros and confirm recent numerical estimates for critical exponents.

19 pages, 9 figures

References in corpus (4)

• Probing Lee-Yang zeros and coherence sudden death
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Cited by in corpus (3)

• Partition function zeros for the Ising model on complete graphs and on annealed scale-free networks
• Introduction to topological defects: from liquid crystals to particle physics
• Critical and tricritical behavior of the $d=3$ Blume-Capel model: Results from small-scale Monte Carlo simulations