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We report a novel approach to the question of whether and how the ground state can be achieved in square artificial spin ices where frustration is incomplete. We identify two types of disorder: quenched disorder in the island response to…

Mesoscale and Nanoscale Physics · Physics 2011-11-17 Zoe Budrikis , Paolo Politi , R. L. Stamps

We study the effect of quenched disorder in square artificial spin ice by means of numerical simulations. We introduce disorder in the length of magnetic islands using two kinds of distributions: Gaussian and uniform. As the system behavior…

Statistical Mechanics · Physics 2021-01-11 M. Di Pietro Martínez , R. C. Buceta

Quenched disorder affects how non-equilibrium systems respond to driving. In the context of artificial spin ice, an athermal system comprised of geometrically frustrated classical Ising spins with a two-fold degenerate ground state, we give…

Mesoscale and Nanoscale Physics · Physics 2012-07-18 Zoe Budrikis , J. P. Morgan , J. Akerman , A. Stein , Paolo Politi , S. Langridge , C. H. Marrows , R. L. Stamps

We have performed a systematic study of the effects of field strength and quenched disorder on the driven dynamics of square artificial spin ice. We construct a network representation of the configurational phase space, where nodes…

Mesoscale and Nanoscale Physics · Physics 2012-04-13 Zoe Budrikis , Paolo Politi , Robert L Stamps

After removal of an applied magnetic field, artificial square spin ice can be left in a metastable remanent state, with nonzero residual magnetization and excess energy above the ground state. Using a model of magnetic islands with dipoles…

Mesoscale and Nanoscale Physics · Physics 2026-03-20 G. M. Wysin

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 arrays of micromagnetic islands are a means of engineering additional energy scales and frustration into magnetic materials. Despite much progress in elucidating the properties of such arrays, the `spins' in the systems…

Small amplitude dipolar oscillations are considered in artificial spin ice on a square lattice in two dimensions. The net magnetic moment of each elongated magnetic island in the spin ice is assumed to have Heisenberg-like dynamics. Each…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 Thomas D. Lasnier , G. M. Wysin

The thermally-driven formation and evolution of vertex domains is studied for square artificial spin ice. A self consistent mean field theory is used to show how domains of ground state ordering form spontaneously, and how these evolve in…

Statistical Mechanics · Physics 2012-07-19 Zoe Budrikis , K. L. Livesey , J. P. Morgan , J. Akerman , A. Stein , S. Langridge , C. H. Marrows , R. L. Stamps

Artificial spin ice has become a valuable tool for understanding magnetic interactions on a microscopic level. The strength in the approach lies in the ability of a synthetic array of nanoscale magnets to mimic crystalline materials,…

Materials Science · Physics 2011-12-23 Stephen A. Daunheimer , Olga Petrova , Oleg Tchernyshyov , John Cumings

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

Artificial spin ices are periodic arrangements of interacting nanomagnets successfully used to investigate emergent phenomena in the presence of geometric frustration. Recently, it has been shown that artificial spin ices can be used as…

Mesoscale and Nanoscale Physics · Physics 2021-04-07 Susmita Saha , Jingyuan Zhou , Kevin Hofhuis , Attila Kákay , Valerio Scagnoli , Laura J. Heyderman , Sebastian Gliga

Over the past few years, the study of magnetization dynamics in artificial spin ices has become a vibrant field of study. Artificial spin ices are ensembles of geometrically arranged, interacting magnetic nanoislands, which display…

Mesoscale and Nanoscale Physics · Physics 2020-04-22 Sebastian Gliga , Ezio Iacocca , Olle G. Heinonen

Frustration in the presence of competing interactions is ubiquitous in the physical sciences and is a source of degeneracy and disorder, giving rise to new and interesting physical phenomena. Perhaps nowhere does it occur more simply than…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Cristiano Nisoli , Roderich Moessner , Peter Schiffer

Magnetization dynamics in an artificial square spin-ice lattice made of Ni80Fe20 with magnetic field applied in the lattice plane is investigated by broadband ferromagnetic resonance spectroscopy. The experimentally observed dispersion…

Mesoscale and Nanoscale Physics · Physics 2016-03-03 M. B. Jungfleisch , W. Zhang , E. Iacocca , J. Sklenar , J. Ding , W. Jiang , S. Zhang , J. E. Pearson , V. Novosad , J. B. Ketterson , O. Heinonen , A. Hoffmann

Dynamical effects under geometrical frustration are considered in a model for artificial spin ice on a square lattice in two dimensions. Each island of the spin ice has a three-component Heisenberg-like dipole moment subject to shape…

Mesoscale and Nanoscale Physics · Physics 2013-05-08 G. M. Wysin , W. A. Moura-Melo , L. A. S. Mól , A. R. Pereira

We study an artificial spin ice system consisting of two identical layers separated by a height offset $h$. For small separation, the layers are shown to attract each other, provided the whole system is in the ground state. Such an…

Mesoscale and Nanoscale Physics · Physics 2021-02-05 Fabio S. Nascimento , Afranio R. Pereira , Winder A. Moura-Melo

Applied magnetic fields are an important tuning parameter for artificial spin ice (ASI) systems, as they can drive phase transitions between different magnetic ground states, or tune through regimes with high populations of emergent…

Mesoscale and Nanoscale Physics · Physics 2022-03-14 M. Goryca , X. Zhang , J. D. Watts , C. Nisoli , C. Leighton , P. Schiffer , S. A. Crooker

Artificial spin ice systems are metamaterials composed of interacting nanomagnets arranged on a lattice, exhibiting geometrical frustration and emergent phenomena such as monopole excitations. We explore magnetization dynamics and monopole…

Mesoscale and Nanoscale Physics · Physics 2025-03-28 Julia Frank , Johan van Lierop , Robert L. Stamps

Critical properties of quantum spin chains with varying degrees of disorder are studied at zero temperature by analytical and extensive density matrix renormalization methods. Generally the phase diagram is found to contain three phases.…

Disordered Systems and Neural Networks · Physics 2009-11-07 Enrico Carlon , Péter Lajko , Ferenc Iglói
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