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A single crystalline system typically stabilizes a unique state for spin ordering below a critical temperature. Certain materials exhibit multiple magnetic states, driven by structural phase transitions under varying thermodynamic…

Artificial spin ices (ASIs) are designable arrays of interacting nanomagnets that span a wide range of magnetic phases associated with a number of spin lattice models. Here, we demonstrate that the phase of an artificial kagome spin ice can…

Mesoscale and Nanoscale Physics · Physics 2022-11-04 Breno Cecchi , Nathan Cruz , Marcelo Knobel , Kleber Roberto Pirota

The field-induced dynamics of artificial spin ice are determined in part by interactions between magnetic islands, and the switching characteristics of each island. Disorder in either of these affects the response to applied fields.…

Mesoscale and Nanoscale Physics · Physics 2012-02-15 Zoe Budrikis , Paolo Politi , R. L. Stamps

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

We reconstruct the equilibrium phase diagram of quantum square ice, realized by the transverse-field Ising model on the checkerboard lattice, using a combination of quantum Monte Carlo, degenerate perturbation theory and gauge mean-field…

Strongly Correlated Electrons · Physics 2015-06-16 Louis-Paul Henry , Tommaso Roscilde

A new model of localized highly frustrated ferromagnetism is presented: kagome spin ice. By use of analytical and Monte Carlo calculations its massive groundstate entropy is evaluated. Monte Carlo calculations are also used to explore the…

Materials Science · Physics 2007-05-23 A. S. Wills , R. Ballou , C. Lacroix

Ferrotoroidicity, the fourth form of primary ferroic order, breaks both space and time inversion symmetry. So far, direct observation of ferrotoroidicity in natural materials remains elusive, which impedes the exploration of ferrotoroidic…

We study the field--temperature phase diagram of the two-dimensional dipolar Ising ferromagnet on a kagome lattice with a specific ratio between the exchange and dipolar constants, $\delta = 1$. Using the stochastic cutoff (SCO) $O(N)$…

Statistical Mechanics · Physics 2022-07-20 Hisato Komatsu , Yoshihiko Nonomura , Masamichi Nishino

We investigate the cooperative behavior of regular monolayers of driven two-level dipoles, using classical electrodynamics simulations. The dipolar response results from the interference of many cooperative eigenmodes, each…

Atomic Physics · Physics 2015-12-17 Robert J. Bettles , Simon A. Gardiner , Charles S. Adams

We have studied the field-dependent ac magnetic susceptibility of single crystals of Dy2Ti2O7 spin ice along the [111] direction in the temperature range 1.8 K - 7 K. Our data reflect the onset of local spin ice order in the appearance of…

Strongly Correlated Electrons · Physics 2015-06-12 M. J. Matthews , C. Castelnovo , R. Moessner , S. A. Grigera , D. Prabhakaran , P. Schiffer

The spin-$\frac{1}{2}$ kagome antiferromagnet is considered an ideal host for a quantum spin liquid ground state. We find that when the bonds of the kagome lattice are modulated with a periodic pattern, new quantum ground states emerge.…

We study a frustrated two-dimensional array of dipoles forming an artificial rectangular spin ice with horizontal and vertical lattice parameters given by $a$ and $b$ respectively. We show that the ice regime could be stabilized by…

Mesoscale and Nanoscale Physics · Physics 2012-12-07 F. S. Nascimento , L. A. S. Mól , W. A. Moura-Melo , A. R. Pereira

In this work we propose and study a realization of an artificial spin ice-like system, not based on any real material, in a triangular geometry. At each vertex of the lattice, the "ice-like rule" dictates that three spins must point inward…

Mesoscale and Nanoscale Physics · Physics 2012-12-17 L. A. S. Mól , A. R. Pereira , W. A. Moura-Melo

The kapellasite family $A$Cu$_3$(OH)$_{6+x}$(Cl,Br)$_{3-x}$ forms a series of compounds, wherein the chemical pressure realized by the $A-$site cation tunes the spin exchange in the frustrated distorted kagome lattice. Via hydrothermal…

Strongly Correlated Electrons · Physics 2025-08-12 Jonas Andreas Krieger , Thomas James Hicken , Hubertus Luetkens , Reinhard K. Kremer , Pascal Puphal

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

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

The Heisenberg antiferromagnet on the kagome lattice is an archetypal instance of how large ground state degeneracies arise, and how they may get resolved by thermal and quantum fluctuations. Augmenting the Heisenberg model by chiral spin…

Strongly Correlated Electrons · Physics 2022-10-11 Jackson Pitts , Finn Lasse Buessen , Roderich Moessner , Simon Trebst , Kirill Shtengel

We study theoretically low-temperature phases of a recently synthesized compound Sr$_2$CoO$_3$F under pressure. The analysis combining LDA+DMFT and a strong-coupling effective model points to the existence of not only normal paramagnetic…

Strongly Correlated Electrons · Physics 2019-05-15 Juan Fernández Afonso , Andrii Sotnikov , Atsushi Hariki , Jan Kuneš

We investigate the melting behavior of two-dimensional colloidal crystals stabilized by a core-softened potential featuring two competing interaction length scales. Using molecular dynamics simulations, we analyze three polymorphic solid…

Soft Condensed Matter · Physics 2025-07-21 Thiago Puccinelli , Alexandre V. Ilha , José Rafael Bordin

Frustrated spin-ice systems support emergent gauge fields and fractionalized quasiparticles that act as magnetic monopoles. Although artificial platforms have enabled their direct visualization, access to their quantum-coherent dynamics has…

Strongly Correlated Electrons · Physics 2026-05-20 Krzysztof Giergiel , Piotr Surówka