Defects dynamics following thermal quenches in square spin-ice

Abstract

We present a study of the single spin flip stochastic dynamics of the two dimensional sixteen vertex model. We single out several dynamic regimes controlled by different processes that we describe. We analyse the emergence of very long-lived metastable states and their dependence on the system size, boundary conditions, and working parameters. We investigate the coarsening process after quenches into the ordered ferromagnetic and antiferromagnetic phases. We discuss our results in the context of artificial spin ice on square lattices.

14 pages

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Cited by in corpus (13)

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• 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
• Defect Dynamics in Artificial Colloidal Ice: Real-Time Observation, Manipulation and Logic Gate
• Tunable non-equilibrium dynamics: field quenches in spin ice
• Artificial spin ice and vertex models
• 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
• Anomalous out-of-equilibrium dynamics in the spin-ice material Dy${}_2$Ti${}_2$O${}_7$ under moderate magnetic fields
• Crossover from string to cluster dynamics following a field quench in spin ice
• Gauge-Free Duality in Pure Square Spin Ice: Topological Currents and Monopoles
• Methods for detecting Order-by-Disorder transitions: the example of the Domino model