Universal dynamics of magnetic monopoles in two-dimensional kagomé ice

Abstract

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 $\chi (\omega )$ 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 $\xi (\propto 1/\sqrt{{\omega }_1})$, where ${\omega }_1$ is a characteristic frequency proportional to the peak position of the imaginary part of $\chi (\omega )$. 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.

5 pages, 4 figures, Supplemental Material

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