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Related papers: Entropy-driven order in an array of nanomagnets

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Geometric frustration usually arises in systems that comprise magnetic moments (spins) which reside on the sites of a lattice made up of elementary triangular or tetrahedral units and which interact via antiferromagnetic nearest-neighbor…

Statistical Mechanics · Physics 2009-03-17 Michel J. P. Gingras

The residual entropy of spin ice and other frustrated magnets is a property of considerable interest, yet the usual way of determining it, by integrating the heat capacity, is generally ambiguous. Here we note that a straightforward…

Strongly Correlated Electrons · Physics 2013-08-07 L. Bovo , S. T. Bramwell

Local magnetic ordering in artificial spin ices is discussed from the point of view of how geometrical frustration controls dynamics and the approach to steady state. We discuss the possibility of using a particle picture based on vertex…

Statistical Mechanics · Physics 2010-09-09 Zoe Budrikis , Paolo Politi , R. L. Stamps

Energy minimization at T=0 and Monte Carlo simulations at T>0 have been performed for 2D and 3D random-field and random-anisotropy systems of up to 100 million classical spins. The main finding is that 3D random-anisotropy systems…

Statistical Mechanics · Physics 2025-10-17 D. A. Garanin

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

Using systematic effective field theory, we explore the properties of antiferromagnetic films subjected to magnetic and staggered fields that are either mutually aligned or mutually orthogonal. We provide low-temperature series for the…

Strongly Correlated Electrons · Physics 2020-08-31 Christoph P. Hofmann

We have studied the antiferromagnetic Ising model on the icosahedral bcc lattice, as a model system of 1/1 approximant Tsai-type quasicrystals. We addressed thermal equilibrium properties of this system with Markov-chain Monte Carlo…

Strongly Correlated Electrons · Physics 2026-04-03 Oscar Novat , Ludovic D. C. Jaubert , Masafumi Udagawa

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

Disorder in magnetic systems typically suppresses long-range order, promoting short-range states such as spin glasses and magnetic clusters. This is particularly prominent in high-entropy materials, characterized by the random distributions…

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 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

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 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

Disorder can have a dominating influence on correlated and quantum materials leading to novel behaviors which have no clean limit counterparts. In magnetic systems, spin and exchange disorder can provide access to quantum criticality,…

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

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 theoretically show the possibility to induce magnetic ordering in non-magnetic one-dimensional systems of strongly interacting electrons hopping on a tight-binding lattice. Our analysis is provided within the framework of the t1-t2…

Strongly Correlated Electrons · Physics 2013-06-06 Giuseppe Della Valle , Stefano Longhi

We use soft x-ray vector-ptychographic tomography to determine the three-dimensional magnetization field in superparamagnetic nanoparticles self-assembled at the liquid-liquid interface and reveal the magnetic order induced by layered…

Magnetic monopole quasiparticles in spin ice materials hold the potential for exploring new frontiers of physics that extend beyond Maxwell's equations. We have previously proposed a two-dimensional magnetic monopole gas (2DMG), confined at…

Materials Science · Physics 2025-11-26 Prakash Timsina , Boris Kiefer , Ludi Miao

We report an artificial geometrically frustrated magnet based on an array of lithographically fabricated single-domain ferromagnetic islands. The islands are arranged such that the dipole interactions create a two-dimensional analogue to…

Disordered Systems and Neural Networks · Physics 2009-11-11 R. F. Wang , C. Nisoli , R. S. Freitas , J. Li , W. McConville , B. J. Cooley , M. S. Lund , N. Samarth , C. Leighton , V. H. Crespi , P. Schiffer