Artificial spin ice and vertex models

Abstract

In classical and quantum frustrated magnets the interactions in combination with the lattice structure impede the spins to order in optimal configurations at zero temperature. The theoretical interest in their classical realisations has been boosted by the artificial manufacture of materials with these properties, that are of flexible design. This note summarises work on the use of vertex models to study bidimensional spin-ices samples, done in collaboration with R. A. Borzi, M. V. Ferreyra, L. Foini, G. Gonnella, S. A. Grigera, P. Guruciaga, D. Levis, A. Pelizzola and M. Tarzia, in recent years. It is an invited contribution to a J. Stat. Phys. special issue dedicated to the memory of Leo P. Kadanoff.

17 pages, 8 figs., J. Stat. Phys. special issue

References in corpus (27)

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• Magnetic Monopoles in Spin Ice
• Artificial "spin ice" in a geometrically frustrated lattice of nanoscale ferromagnetic islands
• Colloquium: Artificial spin ice: Designing and imaging magnetic frustration
• Cluster Algorithm for Vertex Models
• Artificial square ice and related dipolar nanoarrays
• Local statistics for random domino tilings of the Aztec diamond
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• Cluster Variation Method in Statistical Physics and Probabilistic Graphical Models
• Ground state lost but degeneracy found: the effective thermodynamics of artificial spin ice
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• Domain dynamics and fluctuations in artificial square ice at finite temperatures
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• Thermal phase transitions in Artificial Spin-Ice
• Phase transition for quenched coupled replicas in a plaquette spin model of glasses
• Static and dynamic lengthscales in a simple glassy plaquette model
• Overlap and activity glass transitions in plaquette spin models with hierarchical dynamics
• The arctic curve of the domain-wall six-vertex model in its anti-ferroelectric regime
• Dynamics and hysteresis in square lattice artificial spin-ice
• Out of equilibrium dynamics in the bidimensional spin-ice model
• Field-tuned order by disorder in Ising frustrated magnets with antiferromagnetic interactions
• Folding transitions of the triangular lattice with defects
• Fluctuation-dissipation relations in plaquette spin systems with multi-stage relaxation
• Defects dynamics following thermal quenches in square spin-ice
• Algebraic arctic curves in the domain-wall six-vertex model
• Static properties of 2D spin-ice as a sixteen-vertex model
• Glassy behaviour in an exactly solved spin system with a ferromagnetic transition

Cited by in corpus (11)

• Ice Rule and Emergent Frustration in Particle Ice and Beyond
• Precise extrapolation of the correlation function asymptotics in uniform tensor network states with application to the Bose-Hubbard and XXZ models
• Spontaneous Magnetic Superdomain Wall Fluctuations in an Artificial Antiferromagnet
• Arctic curve of the free-fermion six-vertex model in an L-shaped domain
• Classical topological order of the Rys F-model and its breakdown in realistic spin ice: Topological sectors of Faraday loops
• Topological Boundary Constraints in Artificial Colloidal Ice
• Some exactly solvable and tunable frustrated spin models
• Topology by Design in Magnetic nano-Materials: Artificial Spin Ice
• Arctic curve of the free-fermion six-vertex model with reflecting end boundary condition
• The design, verification, and applications of Hotspice: a Monte Carlo simulator for artificial spin ice
• Unusual Coulomb phase physics in the arctic square ice