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 (8)

• Artificial "spin ice" in a geometrically frustrated lattice of nanoscale ferromagnetic islands
• Artificial square ice and related dipolar nanoarrays
• Ground state lost but degeneracy found: the effective thermodynamics of artificial spin ice
• Comparing artificial frustrated magnets: tuning symmetry in nanomagnet arrays
• Fluctuation-dissipation relations in plaquette spin systems with multi-stage relaxation
• 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