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Artificial ices enable the study of geometrical frustration by design and through direct observation. However, it has proven difficult to achieve tailored long-range ordering of their diverse configurations, limiting both fundamental and…

Mesoscale and Nanoscale Physics · Physics 2016-05-23 Yong-Lei Wang , Zhi-Li Xiao , Alexey Snezhko , Jing Xu , Leonidas E. Ocola , Ralu Divan , John E. Pearson , George W. Crabtree , Wai-Kwong Kwok

The close connection of electricity and magnetism is one of the cornerstones of modern physics. This connection plays crucial role from the fundamental point of view and in practical applications, including spintronics and multiferroic…

Strongly Correlated Electrons · Physics 2013-07-01 D. I. Khomskii

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

We study the dipolar spin-ice model at fixed density of single excitations, $\rho$, using a Monte Carlo algorithm where processes of creation and annihilation of such excitations are banned. In the limit of $\rho$ going to zero, this model…

Statistical Mechanics · Physics 2015-06-23 R. A. Borzi , D. Slobinsky , S. A. Grigera

In this letter, we have constructed and experimentally investigated frustrated arrays of dipoles forming two-dimensional artificial spin ices with different lattice parameters (rectangular arrays with horizontal and vertical lattice…

Magnetic monopoles, long hypothesised as fundamental particles carrying isolated magnetic charge, emerge in spin-ice systems as fractionalised excitations governed by the ice rule. Yet their three-dimensional field structure has never been…

Mesoscale and Nanoscale Physics · Physics 2025-11-10 Arjen van den Berg , Peter Rickhaus , Frank Barrows , Cristiano Nisoli , Sam Ladak

Topological magnetic charges, arising due to the non-vanishing magnetic flux on spin ice vertices, serve as the origin of magnetic monopoles that traverse the underlying lattice effortlessly. Unlike spin ice materials of atomic origin, the…

Strongly Correlated Electrons · Physics 2023-09-12 Jiasen Guo , Pousali Ghosh , Daniel Hill , Yiyao Chen , Laura Stingaciu , Piotr. Zolnierczuk , Carsten A. Ullrich , Deepak K. Singh

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

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

Emergent quasiparticles that arise from the fractionalization of the microscopic degrees of freedom have been one of the central themes in modern condensed matter physics. The notion of magnetic monopoles, freely moving quasiparticles…

Strongly Correlated Electrons · Physics 2016-06-10 Gia-Wei Chern , Paula Mellado

Artificial spin ice provides a versatile setting for emergent gauge fields and magnetic monopole excitations. Here we propose a driven-dissipative polariton realization of artificial spin ice, in which the circular polarization of each link…

Mesoscale and Nanoscale Physics · Physics 2026-03-31 Junhui Cao , Alexey Kavokin

Magnetic monopole unpairing as a function of external magnetic fields is presented as a fingerprint of this emergent quasiparticles freedom in a two-dimensional artificial spin ice system. Such freedom, required for example for further…

Mesoscale and Nanoscale Physics · Physics 2022-07-14 D. G. Duarte , L. B. de Oliveira , F. S. Nascimento , W. A. Moura-Melo , A. R. Pereira , 1 , C. I. L. de Araujo

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 study the magnetic excitations of a square lattice spin-ice recently produced in an artificial form, as an array of nanoscale magnets. Our analysis, based upon the dipolar interaction between the nanomagnetic islands, correctly…

Materials Science · Physics 2009-09-24 L. A. S. Mol , R. L. Silva , R. C. Silva , A. R. Pereira , W. A. Moura-Melo , B. V. Costa

Distinct symmetry enriched topological orders often do not have classical distinctions. Motivated by the recent progress on the pyrochlore spin ice materials based on the dipole-octupole doublets, we argue that the dipolar spin liquid and…

Strongly Correlated Electrons · Physics 2026-05-07 Pengwei Zhao , Gang v. Chen

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…

If spin liquids have been famously defined by what they are not, i.e. ordered, the past years have seen the frontier between order and spin liquid starting to fade, with a growing number of materials whose low-temperature physics cannot be…

Strongly Correlated Electrons · Physics 2016-02-09 Ludovic D. C. Jaubert

Micromagnetic properties of monopoles in artificial kagome spin ice systems are investigated using numerical simulations. We show that micromagnetics brings additional complexity into the physics of these monopoles that is, by essence,…

Mesoscale and Nanoscale Physics · Physics 2014-01-22 N. Rougemaille , F. Montaigne , B. Canals , M. Hehn , H. Riahi , D. Lacour , J. -C. Toussaint

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 realize a three-dimensional artificial spin ice of disconnected nanomagnets interacting solely via dipolar coupling, patterned on square pyramids. This Pyramid artificial spin ice, with both tilted and in-plane nanomagnets, supports…

Mesoscale and Nanoscale Physics · Physics 2025-09-03 Luca Berchialla , Gavin M. Macauley , Flavien Museur , Anja Weber , Laura J. Heyderman
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