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Artificial particle ices are model systems of constrained, interacting particles. They have been introduced theoretically to study ice-manifolds emergent from frustration, along with domain wall and grain boundary dynamics, doping,…

We study the defect dynamics in a colloidal spin ice system realized by filling a square lattice of topographic double well islands with repulsively interacting magnetic colloids. We focus on the contraction of defects in the ground state,…

Soft Condensed Matter · Physics 2016-12-26 Johannes Loehr , Antonio Ortiz-Ambriz , Pietro Tierno

Artificial spin ices are arrays of correlated nano-scale magnetic islands that prove an excellent playground in which to study the role of topology in critical phenomena. Here, we investigate a continuum of spin ice geometries,…

Mesoscale and Nanoscale Physics · Physics 2020-04-08 Gavin M. Macauley , Gary W. Paterson , Yue Li , Rair Macêdo , Stephen McVitie , Robert L. Stamps

Artificial spin ice systems, namely lattices of interacting single domain ferromagnetic islands, have been used to date as microscopic models of frustration induced by lattice topology, allowing for the direct visualization of spin…

Soft Condensed Matter · Physics 2016-02-03 Antonio Ortiz-Ambriz , Pietro Tierno

Artificial spin ices have transcended their origins in frustrated rare-earth pyrochlores to become a versatile platform for engineering exotic states of matter. Across diverse implementations, from nanomagnets and superconducting vortices…

Soft Condensed Matter · Physics 2026-04-01 Renaud Baillou , Matthew Terkel , Cristiano Nisoli , Pietro Tierno

The effect of boundaries and how these can be used to influence the bulk behaviour in geometrically frustrated systems are both long-standing puzzles, often relegated to secondary role. Here we use numerical simulations and "proof of…

Soft Condensed Matter · Physics 2021-05-12 Carolina Rodríguez-Gallo , Antonio Ortiz-Ambriz , Pietro Tierno

We study a frustrated dipolar array recently manufactured lithographically by Wang {\em et al.} [Nature {\bf 439}, 303 (2006)] in order to realize the square ice model in an artificial structure. We discuss models for thermodynamics and…

Statistical Mechanics · Physics 2007-05-23 Gunnar Moller , R. Moessner

Geometric frustration and the ice rule are two concepts that are intimately connected and widespread across condensed matter. The first refers to the inability of a system to satisfy competing interactions in the presence of spatial…

In artificial spin ice systems, an interplay of defects and dipolar interactions is expected to play important roles in stabilizing different collective magnetic states. In this work, we investigated the magnetization reversal of individual…

Mesoscale and Nanoscale Physics · Physics 2021-01-04 Neeti Keswani , Ranveer Singh , Yoshikata Nakajima , Sakthi Kumar , Tapobrata Som , Pintu Das

Artificial spin ice is a frustrated magnetic two-dimensional nano-material, recently employed to study variety of tailor-designed unusual collective behaviours. Recently proposed extensions to three dimensions are based on self-assembly…

Mesoscale and Nanoscale Physics · Physics 2014-01-03 Gia-Wei Chern , Charles Reichhardt , Cristiano Nisoli

Artificial ice systems have been designed to replicate paradigmatic phenomena observed in frustrated spin systems. Here we present a detailed theoretical analysis based on Monte-Carlo simulations of the low energy phases in an artificial…

Statistical Mechanics · Physics 2019-04-17 Anne Le Cunuder , Irénée Frérot , Antonio Ortiz-Ambriz , Pietro Tierno

Artificial spin-ices consist of lithographic arrays of single-domain magnetic nanowires organised into frustrated lattices. These geometries are usually two-dimensional, allowing a direct exploration of physics associated with frustration,…

Mesoscale and Nanoscale Physics · Physics 2024-02-23 M. Saccone , A. Van den Berg , E. Harding , S. Singh , S. R. Giblin , F. Flicker , S. Ladak

Artificial spin ices are arrays of coupled nanomagnets, which exhibit a variety of fascinating collective behaviour including emergent magnetic monopoles, charge screening, and novel phase transitions. However, they have mainly been…

Mesoscale and Nanoscale Physics · Physics 2024-07-09 Gavin M. Macauley , Luca Berchialla , Peter M. Derlet , Laura J. Heyderman

Using numerical simulations that mimic recent experiments on hexagonal colloidal ice, we show that colloidal hexagonal artificial spin ice exhibits an inner phase within its ice state that has not been observed previously. Under increasing…

Statistical Mechanics · Physics 2018-01-17 A. Libal , C. Nisoli , C. J. O. Reichhardt , C. Reichhardt

We show that in colloidal models of artificial kagome and modified square ice systems, a variety of ordering and disordering regimes occur as a function of biasing field, temperature, and colloid-colloid interaction strength, including…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 C. J. Olson Reichhardt , A. Libal , C. Reichhardt

We present a numerical study on a disordered artificial spin-ice system which interpolates between the long-range ordered square ice and the fully degenerate shakti ice. Starting from the square-ice geometry, disorder is implemented by…

Disordered Systems and Neural Networks · Physics 2021-05-27 Yifei Shi , Cristiano Nisoli , Gia-Wei Chern

We examine square and kagome artificial spin ice for colloids confined in arrays of double-well traps. Unlike magnetic artificial spin ices, colloidal and vortex artificial spin ice realizations allow creation of doping sites through double…

Soft Condensed Matter · Physics 2016-08-19 A. Libal , C. J. Olson Reichhardt , C. Reichhardt

Magneto-toroidal artificial spin ices (MT-ASIs) are arrangements of nanomagnets that exhibit spontaneous toroidization. A ferrotoroidic order could have implications on the propagation of spin waves through this artificial spin ice,…

Mesoscale and Nanoscale Physics · Physics 2025-05-20 G. Alatteili , L. A. Scafuri , E. Iacocca

Kagome spin ice is one of the canonical examples of highly frustrated magnets. The effective magnetic degrees of freedom in kagome spin ice are Ising spins residing on a two-dimensional network of corner-sharing triangles. Due to strong…

Statistical Mechanics · Physics 2024-06-18 Zhijie Fan , Gia-Wei Chern

Magnetic monopoles, long hypothesised as fundamental particles carrying isolated magnetic charge, emerge in spin-ice systems as fractionalised excitations governed by the ice rule. Yet their three-dimensional field structure has never been…

Mesoscale and Nanoscale Physics · Physics 2025-11-10 Arjen van den Berg , Peter Rickhaus , Frank Barrows , Cristiano Nisoli , Sam Ladak
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