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Spin ice systems display a variety of very nontrivial properties, the most striking being the existence in them of magnetic monopoles. Such monopole states can also have nontrivial electric properties: there exist electric dipoles attached…

Strongly Correlated Electrons · Physics 2021-06-09 D. I. Khomskii

Various types of mixed spin two-dimensional Heisenberg networks are investigated by means of Monte Carlo simulations. This study aims at interpreting quantitatively the thermodynamical properties of two-dimensional molecule-based magnets…

Statistical Mechanics · Physics 2009-10-30 B. Mombelli , O. Kahn , J. Leandri , Y. Leroyer , S. Mechkov , Y. Meurdesoif

The magnetization dynamics of the triangular lattice of Ising spin chains is investigated in the framework of a two-dimensional model. The rigid chains are assumed to interact with the nearest neighboring chains, an external magnetic field,…

Strongly Correlated Electrons · Physics 2009-11-13 Yu. B. Kudasov , A. S. Korshunov , V. N. Pavlov , D. A. Maslov

Here we study the statistical properties of two-dimensional spin ice in its ground state by the Monte Carlo simulation method. Using a new sampling algorithm, we show that the short-range ice rule in two dimensions gives rise to long-range…

Statistical Mechanics · Physics 2014-01-29 M. I. Ryzhkin

The magnetic behavior of a mixed Ising ferrimagnetic system on a square lattice, in which the two interpenetrating square sublattices have spins +- 1/2 and spins +-1,0, in the presence of an oscillating magnetic field has been studied with…

Condensed Matter · Physics 2009-10-31 G. M. Buendia , E. Machado

In order to explain and predict the properties of many physical systems, it is essential to understand the interplay of different energy-scales. Here we present investigations of the magnetic order in thermalised artificial spin ice…

Artificial magnetic honeycomb lattice provides a two-dimensional archetypal system to explore novel phenomena of geometrically frustrated magnets. According to theoretical reports, an artificial magnetic honeycomb lattice is expected to…

Mesoscale and Nanoscale Physics · Physics 2018-02-20 B. Summers , Y. Chen , A. Dahal , D. K. Singh

Recent work investigating the interaction of magnetic islands with micro-turbulence has uncovered the striking observation of large scale vortex modes forming within the island structure [W.A. Hornsby {\it et al.}, Phys. Plasmas {\bf 17}…

Plasma Physics · Physics 2015-06-03 William Hornsby , Arthur Peeters , Mattia Siccinio , Emanuele Poli

Analyzing the magnetic structure factor of a field demagnetized artificial square ice, qualitative deviations from what would predict the square ice model are observed. Combining micromagnetic and Monte Carlo simulations, we demonstrate…

Mesoscale and Nanoscale Physics · Physics 2021-03-10 O. Brunn , Y. Perrin , B. Canals , N. Rougemaille

Artificial spin ice systems have been introduced as a possible mean to investigate frustration effects in a well-controlled manner by fabricating lithographically-patterned two-dimensional arrangements of interacting magnetic…

Mesoscale and Nanoscale Physics · Physics 2017-01-04 Yann Perrin , Benjamin Canals , Nicolas Rougemaille

Here an artificial spin ice (ASI) lattice is introduced that exhibits unique Ising and non-Ising behavior under specific field switching protocols because of the inclusion of coupled nanomagnets into the unit cell. In the Ising regime, a…

Mesoscale and Nanoscale Physics · Physics 2020-09-29 R. Puttock , A. Manzin , V. Neu , F. Garcia Sanchez , A. Fernandez Scarioni , H. W. Schumacher , O. Kazakova

Arrays of coupled nanomagnets have wide-ranging fundamental and practical applications in artificial spin ices, neuromorphic computing and spintronics. However, lacking in these fields are nanomagnets with perpendicular magnetic anisotropy…

Artificial spin ice systems have opened experimental windows into a range of model magnetic systems through the control of interactions among nanomagnet moments. This control has previously been enabled by altering the nanomagnet size and…

Mesoscale and Nanoscale Physics · Physics 2021-09-15 Susan Kempinger , Yu-Sheng Huang , Paul Lammert , Michael Vogel , Axel Hoffmann , Vincent H. Crespi , Peter Schiffer , Nitin Samarth

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 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

A lattice system of spinor atoms or molecules experiencing quadratic Zeeman effect is considered. This can be an optical lattice with sufficiently deep wells at lattice sites, so that the system is in an isolating state, where atoms are…

Quantum Gases · Physics 2018-11-21 V. I. Yukalov , E. P. Yukalova

A one dimensional kinetic Ising model at a finite temperature on a semi-infinite lattice with time varying boundary spins is considered. Exact expressions for the expectation values of the spin at each site are obtained, in terms of the…

Statistical Mechanics · Physics 2012-02-06 Amir Aghamohammadi , Cina Aghamohammadi , Mohammad Khorrami

Artificial spin ices are metamaterials that can host several ferromagnetic resonances as well as spin waves. As the field advances towards the creation of three-dimensional geometries, a trilayer square artificial spin ice has been already…

Mesoscale and Nanoscale Physics · Physics 2026-03-13 V. Vanga , G. Alatteili , E. Iacocca

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

Artificial spin ices are metamaterials composed of interacting nanomagnets exhibiting frustration. Their resonant magnetization dynamics have been broadly investigated from fundamental and applied points of view. In this work, we realize a…

Mesoscale and Nanoscale Physics · Physics 2025-05-20 Renju R. Peroor , Lawrence Scafuri , Dmytro A. Bozhko , Ezio Iacocca