AC Susceptibility of the Dipolar Spin Ice Dy2Ti2O7: Experiments and Monte Carlo Simulations
Hiroshi Takatsu, Kazuki Goto, Hiromi Otsuka, Ryuji Higashinaka,, Kazuyuki Matsubayashi, Yoshiya Uwatoko, and Hiroaki Kadowaki

TL;DR
This study combines experiments and Monte Carlo simulations to analyze the ac susceptibility of Dy2Ti2O7 spin ice, revealing temperature-dependent monopole dynamics consistent with experimental observations.
Contribution
It introduces a simulation approach that accurately reproduces experimental ac susceptibility data and evaluates monopole hopping rates in Dy2Ti2O7.
Findings
Simulated ac susceptibility matches experimental data between 0.6 and 1.0 K.
Monopole hopping rate varies significantly with temperature.
The simulation provides insights into monopole dynamics in spin ice.
Abstract
Experimental data of the frequency-dependent ac susceptibility for the dipolar spin ice Dy2Ti2O7 has been analyzed by Monte Carlo simulations on the basis of the single-spin-flip Metropolis algorithm. We have directly evaluated the ac susceptibility by applying an ac magnetic field. We found that the simulated behaviors reproduces the experimental behavior of the ac susceptibility in the temperature range from 0.6 to 1.0 K, where dilute magnetic monopoles diffusively move. The conversion factor from simulation time to real time, i.e., the rate of hopping of monopoles to nearest-neighbor sites, strongly depends on temperature.
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