… Geometric frustration emerges when local interaction energies in an ordered lattice structure
… and enhanced control of functionalities at the nanoscale. The distinguishable features in the …

… arrays of nanoscale magnets that form the artificial frustrated systems… The fact that the magnetic
islands forming a spin ice array … Last, it has been predicted that ferromagnetic resonance (…

… ferromagnetic dislocations in an antiferromagnetic lattice 2,3 , … have been shown to exhibit
geometric frustration 9,10 in the … two dimensional (2D) arrays of nanoscale bar magnets 16,17,…

… of interacting single domain ferromagnetic islands, have … colloidal version of an artificial
spin ice system using interacting … , not possible with the nanoscale spin ice system. Finally, the …

… Nano-scale is an good choice: the size of the building blocks… moments exhibit a net
ferromagnetic interaction between nearest … In general, magnetic, elongated nano-islands can be …

… artificial spin ices consist of elongated nanoscale magnets arranged on the square and
the kagome lattices… Furthermore, quadrupolar ice exhibits competing ferromagnetic and …

… other arrangements of nanoscale magnetic moments that go … Top row: schematic of
ferromagnetic island arrangement with … We note that the variety of artificial spin ice lattices has …

… in frustrated lattices to model spin ice. The islands contain a single ferromagnetic domain …
Vertex frustration differs from ordinary geometrical frustration because the basic units being …

… state for a ferromagnetic one-dimensional Ising model. … Although disorder in the islands’
magnetic properties can … of the tetris lattice compared to the original artificial square spin ice (two…

… We discuss possible solutions for enhancing inter-island … on simulating small artificial spin
ice lattices, which include as … ferro-toroidic states in an artificial spin ice structure, forming an …