Dynamical fractal and anomalous noise in a clean magnetic crystal
arXiv:2211.00051 · doi:10.1126/science.add1644
Abstract
Fractals -- objects with non-integer dimensions -- occur in manifold settings and length scales in nature, ranging from snowflakes and lightning strikes to natural coastlines. Much effort has been expended to generate fractals for use in many-body physics. Here, we identify an emergent dynamical fractal in a disorder-free, stoichiometric three-dimensional magnetic crystal in thermodynamic equilibrium. The phenomenon is born from constraints on the dynamics of the magnetic monopole excitations in spin ice, which restrict them to move on the fractal. This observation explains the anomalous exponent found in magnetic noise experiments in the spin ice compound DyTiO, and it resolves a long standing puzzle about its rapidly diverging relaxation time. The capacity of spin ice to exhibit such striking phenomena holds promise of further surprising discoveries in the cooperative dynamics of even simple topological many-body systems.
arXiv comment13 pages, 11 figures
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Cited by in corpus (17)
- Experimental signatures of quantum and topological states in frustrated magnetism
- Quantum slush state in Rydberg atom arrays
- Dichotomous Dynamics of Magnetic Monopole Fluids
- Spiral Spin Liquid Noise
- [111]-strained spin ice: Localization of thermodynamically deconfined monopoles
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- Unconventional spin transport in strongly correlated kagome systems
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- Fractional diffusion without disorder in two dimensions
- Scaling study of diffusion in dynamic crowded spaces
- Random Transverse Field Effects on Magnetic Noise in Spin Systems
- Complex field reversal dynamics in nanomagnetic systems
- Dynamic scaling near the Kasteleyn transition in spin ice: critical relaxation of monopoles and strings following a field quench