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Frustrated systems exhibit remarkable properties due to the high degeneracy of their ground states. Stabilised by competing interactions, a rich diversity of typically nanometre-sized phase structures appear in polymer and colloidal…

Geometric frustration can significantly increase the complexity and richness of many-body physics and, for instance, suppress antiferromagnetic order in quantum magnets. Here, we employ ultracold bosonic $^{39}$K atoms in a triangular…

Frustrated systems are ubiquitous and interesting because their behavior is difficult to predict. Magnetism offers extreme examples in the form of spin lattices where all interactions between spins cannot be simultaneously satisfied. Such…

Strongly Correlated Electrons · Physics 2009-11-07 S. -H. Lee , C. Broholm , W. Ratcliff , G. Gasparovic , Q. Huang , T. H. Kim , S. -W. Cheong

Although geometrical frustration transcends scale, it has primarily been evoked in the micro and mesoscopic realm to characterize such phases as spin-ice liquids and glasses and to explain the behavior of such materials as multiferroics,…

Materials Science · Physics 2012-12-19 Paula Mellado , Andres Concha , L. Mahadevan

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

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

A frustrated system is one whose symmetry precludes the possibility that every pairwise interaction (``bond'') in the system can be satisfied at the same time. Such systems are common in all areas of physical and biological science. In the…

Disordered Systems and Neural Networks · Physics 2009-11-07 Steven T. Bramwell , Michel J. -P. Gingras

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

Geometric frustration leads to complex phases of matter with exotic properties. Antiferromagnets on triangular lattices and square ice are two simple models of geometrical frustration. We map their highly degenerated ground-state phase…

Statistical Mechanics · Physics 2015-05-13 Yilong Han

The kagome lattice, known for its strong frustration in two dimensions, hosts a variety of exotic magnetic and electronic states. A variation of this geometry, where the triangular motifs are twisted to further reduce symmetry, has recently…

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

Two-dimensional (2D) quantum magnetism is a paradigm in strongly correlated many-body physics. The understanding of 2D quantum magnetism can be expedited by employing a controllable quantum simulator that faithfully maps 2D-spin…

Magnetism plays a key role in modern technology as essential building block of many devices used in daily life. Rich future prospects connected to spintronics, next generation storage devices or superconductivity make it a highly dynamical…

It has long been known that disorder, perturbing the energy landscape of magnetic systems, can introduce glassy dynamics. However, the controlled role of increasing disorder in driving glass formation remains difficult to isolate in…

Mesoscale and Nanoscale Physics · Physics 2026-04-08 Davis Crater , Ryan Mueller , Sanjib Thapa , Kevin Hofhuis , Armin Kleibert , Francesco Caravelli , Alan Farhan

We study the effect in geometrically frustrated antiferromagnets of weak, random variations in the strength of exchange interactions. Without disorder the simplest classical models for these systems have macroscopically degenerate ground…

Disordered Systems and Neural Networks · Physics 2010-05-05 A. Andreanov , J. T. Chalker , T. E. Saunders , D. Sherrington

We report on the realization of artificial ice using superconducting vortices in geometrically frustrated pinning arrays. This vortex ice shows two unique properties among artificial ice systems. The first comes from the possibility to…

Superconductivity · Physics 2014-08-29 J. Trastoy , M. Malnou , C. Ulysse , R. Bernard , N. Bergeal , G. Faini , J. Lesueur , J. Briatico , Javier E. Villegas

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

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

Artificial Spin Ices are two dimensional arrays of magnetic, interacting nano-structures whose geometry can be chosen at will, and whose elementary degrees of freedom can be characterized directly. They were introduced at first to study…

Mesoscale and Nanoscale Physics · Physics 2021-11-18 Cristiano Nisoli

We investigate numerically the micromagnetic properties and the low-energy physics of an artificial square spin system in which the nanomagnets are physically connected at the lattice vertices. Micromagnetic simulations reveal that the…

Mesoscale and Nanoscale Physics · Physics 2019-07-03 Yann Perrin , Benjamin Canals , Nicolas Rougemaille