Origin of anomalous magnetic noise from monopoles in Dy_2Ti_2O_7 · revision history

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Title
Origin of anomalous magnetic noise from monopoles in Dy2Ti2O7
Plain
Magnetization noise in spin ice, produced by moving monopoles, does not follow a simple random-walk picture. Its spectrum and slow relaxation point to constrained monopole motion, but a full quantitative account is lacking.
Precise
In Dy2Ti2O7 at $T$ of about 0.5 to 3 K the magnetization-noise spectrum follows $S(\omega) \sim \omega^{-b}$ with $b$ between 1 and 2, and relaxation is faster than Arrhenius would allow at high $T$ and slower at low $T$. Derive $b(T)$ and the relaxation time $\tau(T)$ from a microscopic dipolar model with monopole hopping, without free parameters beyond the fitted exchange set. An answer is a model reproducing $S(\omega, T)$ quantitatively.
Settled by
Simulations of the fitted dipolar model with realistic monopole hopping that reproduce measured SQUID noise spectra across temperature.
Kind
phenomenon
Answer type
mechanism
References
(empty)
Literature status
partially-resolved
Status note
Dusad et al. (Nature 2019) measured the anomalous noise; Hallen et al. (Science 2022) attributed it to monopole motion on an emergent fractal of accessible sites.
Posed since
2019