A magnetic monopole in spin ice is a novel quasiparticle excitation in condensed matter physics, and we found that the ac frequency dependent magnetic susceptibility χ(ω) in the two-dimensional (2D) spin ice (so-called kagom\'{e} ice) of Dy2Ti2O7 shows a single scaling form. This behavior can be understood in terms of the dynamical scaling law for 2D Coulomb gas (CG) systems [Phys. Rev. B 90, 144428 (2014)], characterized by the charge correlation length ξ(∝1/ω1), where ω1 is a characteristic frequency proportional to the peak position of the imaginary part of χ(ω). It is a generic behavior among a wide variety of models such as the vortex dynamics of 2D superconductors, 2D superfluids, classical XY magnets, and dynamics of melting of Wigner crystals.
@article{arxiv.2103.12101,
title = {Universal dynamics of magnetic monopoles in two-dimensional kagom\'{e} ice},
author = {Hiroshi Takatsu and Kazuki Goto and Hiromi Otsuka and Taku J. Sato and Jeffrey W. Lynn and Kazuyuki Matsubayashi and Yoshiya Uwatoko and Ryuji Higashinaka and Kazuyuki Matsuhira and Zenji Hiroi and Hiroaki Kadowaki},
journal= {arXiv preprint arXiv:2103.12101},
year = {2021}
}