Universal dynamics of magnetic monopoles in two-dimensional kagom\'{e} ice

TL;DR

This paper demonstrates that the ac magnetic susceptibility in 2D kagome ice exhibits a universal scaling behavior linked to Coulomb gas dynamics, revealing fundamental insights into magnetic monopole excitations.

Contribution

It uncovers a universal dynamical scaling law for magnetic monopoles in 2D kagome ice, connecting susceptibility behavior to Coulomb gas models.

Findings

Susceptibility follows a single scaling form across frequencies.

Charge correlation length relates to characteristic frequency.

Universal behavior extends to various 2D condensed matter systems.

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 kagom\'{e} 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 $\xi (\propto1/\sqrt{\omega_1})$, 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.