English

Field-induced freezing in the unfrustrated Ising antiferromagnet

Statistical Mechanics 2020-09-16 v2 Disordered Systems and Neural Networks

Abstract

We study instantaneous quenches from infinite temperature to well below TcT_c in the two-dimensional square lattice Ising antiferromagnet in the presence of a longitudinal external magnetic field. Under single-spin-flip Metropolis algorithm Monte Carlo dynamics, this protocol produces a pair of magnetization plateaus that prevent the system from reaching the equilibrium ground state except for some special values of the field. We explain the plateaus in terms of local spin configurations that are stable under the dynamics.

Keywords

Cite

@article{arxiv.2001.09268,
  title  = {Field-induced freezing in the unfrustrated Ising antiferromagnet},
  author = {Adam Iaizzi},
  journal= {arXiv preprint arXiv:2001.09268},
  year   = {2020}
}