Universal dynamics of magnetic monopoles in two-dimensional kagomé ice
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 kagomé ice) of Dy$_2$Ti$_2$O$_7$ 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 $ξ(\propto1/\sqrt{ω_1})$, where $ω_{1}$ 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.