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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 are engineered arrays of dipolarly coupled nanobar magnets. They enable direct investigations of fascinating collective phenomena from their diverse microstates. However, experimental access to ground states in the…

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

We demonstrate that it is possible to realize vortex ice states that are analogous to square and kagome ice. With numerical simulations, we show that the system can be brought into a state that obeys either global or local ice rules by…

Superconductivity · Physics 2015-05-13 A. Libal , C. J. Olson Reichhardt , C. Reichhardt

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

Motivated by the observation of partial magnetic order in kagome-based magnets, we study the classical kagome Ising antiferromagnet, known as kagome spin ice, including further-neighbor interactions at zero and finite temperature. While the…

Strongly Correlated Electrons · Physics 2024-06-04 Eric C. Andrade , Matthias Vojta

We present a numerical study of magnetic ordering in spin ice on kagome, a two-dimensional lattice of corner-sharing triangles. The magnet has six ground states and the ordering occurs in two stages, as one might expect for a six-state…

Strongly Correlated Electrons · Physics 2012-11-21 Gia-Wei Chern , Oleg Tchernyshyov

We show that both square and kagome artificial spin ice systems exhibit disorder-induced nonequilibrium phase transitions, with power law avalanche distributions at the critical disorder level. The different nature of geometrical…

Mesoscale and Nanoscale Physics · Physics 2014-07-02 Gia-Wei Chern , C. Reichhardt , C. J. Olson Reichhardt

Spin ices are exotic phases of matter characterized by frustrated spins obeying local ice rules, in analogy with the electric dipoles in water ice. In two dimensions, one can similarly define ice rules for in-plane Ising-like spins arranged…

Artificial spin systems, sometimes referred to as artificial spin ices, are arrays of coupled nanoscale magnets that order according to the lattice geometry, nanomagnet shape and magnetic anisotropy. Here we characterize a family of…

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

Spin ice, a peculiar thermal state of a frustrated ferromagnet on the pyrochlore lattice, has a finite entropy density and excitations carrying magnetic charge. By combining analytical arguments and Monte Carlo simulations, we show that…

Strongly Correlated Electrons · Physics 2011-05-24 Gia-Wei Chern , Paula Mellado , O. Tchernyshyov

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 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 present numerical studies of dipolar spin ice in the presence of a magnetic field slightly tilted away from the [111] axis. We find a first-order transition from a kagome ice to a $\mathbf{q}=$X state when the external field is tilted…

Statistical Mechanics · Physics 2016-06-08 Wen-Han Kao , Peter Holdsworth , Ying-Jer Kao

Artificial spin ices (ASIs) provide a versatile platform to explore magnetic frustration and emergent phenomena. However, in kagome ASI, experimental access to the ground state remains elusive due to dynamical freezing. Here, we demonstrate…

Mesoscale and Nanoscale Physics · Physics 2026-03-16 D. Pecchio , S. Sahoo , V. Scagnoli , L. J. Heyderman

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

We introduce FePd$_{3}$ as a new material for studying thermally active artificial spin ice (ASI) systems and use it to investigate both the square and kagome ice geometries. We readily achieve perfect ground state ordering in the square…

Mesoscale and Nanoscale Physics · Physics 2015-12-07 Jasper Drisko , Stephen Daunheimer , John Cumings

The results of a numerical study of an ordered substitution of a double-segment into the unit cell of square artificial spin ice are presented. Each pattern vertex has three magnetic moment configurations that compete to form a magnetic…

Mesoscale and Nanoscale Physics · Physics 2022-08-10 Ali Frotanpour , Lance E. DeLong

Magnetic nanoarray with special geometries exhibits nontrivial collective behaviors similar to those observed in the spin ice materials. Here we present a novel circuit model to describe the complex magnetotransport phenomena in artificial…

Mesoscale and Nanoscale Physics · Physics 2017-12-14 Gia-Wei Chern
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