Dynamical fractal and anomalous noise in a clean magnetic crystal

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 Dy${}_2$Ti${}_2$O${}_7$, 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.

13 pages, 11 figures

References in corpus (10)

• Anyons and the quantum Hall effect - a pedagogical review
• Low Temperature Spin Freezing in Dy2Ti2O7 Spin Ice
• Vacancy defects and monopole dynamics in oxygen-deficient pyrochlores
• Spin Dynamics at Very Low Temperature in Spin Ice Dy${}_2$Ti${}_2$O${}_7$
• Very low 1/f noise at room temperature in fully epitaxial Fe/MgO/Fe magnetic tunnel junctions
• Anomalous magnetic noise in imperfect flat bands in the topological magnet Dy2Ti2O7
• Field-Induced Magnetic Monopole Plasma in Artificial Spin Ice
• Metrology and 1/f noise: linear regressions and confidence intervals in flicker noise context
• Violation of the fluctuation-dissipation theorem and effective temperatures in spin ice
• Flicker Noise in Two-Dimensional Electron Gas

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
• Thermodynamics and fractal dynamics of nematic spin ice, a doubly frustrated pyrochlore Ising magnet
• Deconstructing Magnetization Noise: Degeneracies, Phases, and Mobile Fractionalized Excitations in Tetris Artificial Spin Ice
• 2-Form U(1) Spin Liquids: Classical Model and Quantum Aspects
• Unconventional spin transport in strongly correlated kagome systems
• Power spectrum of magnetic relaxation in spin ice: anomalous diffusion in a Coulomb fluid
• Crossover from string to cluster dynamics following a field quench in spin ice
• Exploring possible magnetic monopoles-induced magneto-electricity in spin ices
• 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