Out of equilibrium dynamics in the bidimensional spin-ice model

Abstract

We study the dynamics of 2d spin-ice following a quench from a fully disordered initial condition (equilibrium at infinite temperature) into its disordered, ferromagnetic and antiferromagnetic phases. We analyze the evolution of the density of topological defects and we show that these take finite density over very long periods of time in all kinds of quenches. We identify the leading mechanisms for the growth of domains in the ordered phases and we evaluate the (anisotropically) growing lengths involved in dynamic scaling.

6 pages, 8 figures

References in corpus (8)

• Artificial "spin ice" in a geometrically frustrated lattice of nanoscale ferromagnetic islands
• Dirac Strings and Magnetic Monopoles in Spin Ice Dy2Ti2O7
• Artificial square ice and related dipolar nanoarrays
• Ground state lost but degeneracy found: the effective thermodynamics of artificial spin ice
• Pinch Points and Kasteleyn Transitions: How Spin Ice Changes its Entropy
• Vertex dynamics in finite two dimensional square spin ices
• Unconventional magnetization processes and thermal runaway in spin-ice Dy${}_2$Ti${}_2$O${}_7$
• Out of equilibrium dynamics of the spiral model

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• Far from equilibrium monopole dynamics in spin ice
• Thermal phase transitions in Artificial Spin-Ice
• Continuous magnetic phase transition in artificial square ice
• When opposites repel: from metastability to extended chiral spin textures in spin ice with short-range topological-defect interactions
• Tunable non-equilibrium dynamics: field quenches in spin ice
• Dynamics and hysteresis in square lattice artificial spin-ice
• Heterogeneous freezing in a geometrically frustrated spin model without disorder: spontaneous generation of two time-scales
• Artificial spin ice and vertex models
• Ice-rule made manifold: phase transitions, topological defects and manifold restoration in two-dimensional artificial spin systems
• Magnetic monopole polarons in spin ice with mixed coordination numbers
• Defects dynamics following thermal quenches in square spin-ice
• Static properties of 2D spin-ice as a sixteen-vertex model
• Multiple time scales from hard local constraints: glassiness without disorder
• Violation of the fluctuation-dissipation theorem and effective temperatures in spin ice
• The 16-vertex model and its even and odd 8-vertex subcases on the square lattice
• Mean-field phase diagram and spin glass phase of the dipolar Kagome Ising antiferromagnet
• Experimental Measures of Topological Sector Fluctuations in the F-Model