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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

Geometrical frustration in magnetic materials often gives rise to exotic, low-temperature states of matter, like the ones observed in spin ices. Here we report the imaging of the magnetic states of a thermally-active artificial magnetic ice…

Although initially introduced to mimic the spin-ice pyrochlores, no artificial spin ice has yet exhibited the expected degenerate ice-phase with critical correlations similar to the celebrated Coulomb phase in the pyrochlore lattice. Here…

Strongly Correlated Electrons · Physics 2013-10-23 Gia-Wei Chern , Muir J. Morrison , Cristiano Nisoli

Geometric frustration of interacting spin systems is the driving force of a variety of fascinating phenomena in low-dimensional magnetism. In this contribution I will review recent results on frustration-induced effects in magnetic…

Materials Science · Physics 2007-08-09 J. Schnack

Arrays of interacting magnetic nanostructures were introduced recently as a powerful approach to investigate experimentally the exotic many-body physics of frustrated spin models. Following a similar strategy based on…

Mesoscale and Nanoscale Physics · Physics 2019-02-04 V. Schanilec , Y. Perrin , S. Le Denmat , B. Canals , N. Rougemaille

We study the frustration properties of the Ising model on several decorated lattices with arbitrary numbers of decorating spins on all bonds of the lattice within an exact analytical approach based on the Kramers--Wannier transfer-matrix…

Statistical Mechanics · Physics 2022-06-22 F. A. Kassan-Ogly , A. V. Zarubin

Geometric frustration is a broad phenomenon that results from an intrinsic incompatibility between some fundamental interactions and the underlying lattice geometry1-7. Geometric frustration gives rise to new fundamental phenomena and is…

Materials Science · Physics 2011-10-26 Narayani Choudhury , Laura Walizer , Sergey Lisenkov , L. Bellaiche

Magnetic frustration effects in artificial kagome arrays of nanomagnets are investigated using x-ray photoemission electron microscopy and Monte Carlo simulations. Spin configurations of demagnetized networks reveal unambiguous signatures…

Mesoscale and Nanoscale Physics · Physics 2011-02-15 N. Rougemaille , F. Montaigne , B. Canals , A. Duluard , D. Lacour , M. Hehn , R. Belkhou , O. Fruchart , S. El Moussaoui , A. Bendounan , F. Maccherozzi

What does the equilibrium atomic, molecular or spin configuration of a glass phase look like? Is there only one unique equilibrium configuration or are there infinitely many configurations of equal energy? The processes and mechanisms…

Disordered Systems and Neural Networks · Physics 2015-06-17 Per Nordblad

Frustrated magnetism plays a central role in the phenomenology of exotic quantum states. However, because the magnetic structures of frustrated systems are aperiodic, there has always been the problem that they cannot be determined using…

Materials Science · Physics 2013-05-30 Joseph A. M. Paddison , Andrew L. Goodwin

Artificial spin ice is a frustrated magnetic two-dimensional nano-material, recently employed to study variety of tailor-designed unusual collective behaviours. Recently proposed extensions to three dimensions are based on self-assembly…

Mesoscale and Nanoscale Physics · Physics 2014-01-03 Gia-Wei Chern , Charles Reichhardt , Cristiano Nisoli

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

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

When magnetic moments (spins) are regularly arranged in a geometry of a triangular motif, the spins may not satisfy simultaneously their interactions with their neighbors. This phenomenon, called frustration, leads to numerous energetically…

Statistical Mechanics · Physics 2015-06-17 I. Klich , S. -H. Lee , K. Iida

We have created and studied artificial magnetic quasicrystals based on Penrose tiling patterns of interacting nanomagnets that lack the translational symmetry of spatially periodic artificial spin ices. Vertex-level degeneracy and…

Disordered Systems and Neural Networks · Physics 2019-11-07 Dong Shi , Zoe Budrikis , Aaron Stein , Sophie A. Morley , Peter D. Olmsted , Gavin Burnell , Christopher H. Marrows

We study the frustration properties of the Ising model on a decorated triangular lattice with an arbitrary number of decorating spins on all lattice bonds in the framework of an exact analytical approach based on the Kramers--Wannier…

Statistical Mechanics · Physics 2023-09-20 F. A. Kassan-Ogly , A. V. Zarubin

Direct detection of spontaneous spin fluctuations, or "magnetization noise", is emerging as a powerful means of revealing and studying magnetic excitations in both natural and artificial frustrated magnets. Depending on the lattice and…

Mesoscale and Nanoscale Physics · Physics 2023-11-15 M. Goryca , X. Zhang , J. Ramberger , J. D. Watts , C. Nisoli , C. Leighton , P. Schiffer , S. A. Crooker

Artificial spin ices have transcended their origins in frustrated rare-earth pyrochlores to become a versatile platform for engineering exotic states of matter. Across diverse implementations, from nanomagnets and superconducting vortices…

Soft Condensed Matter · Physics 2026-04-01 Renaud Baillou , Matthew Terkel , Cristiano Nisoli , Pietro Tierno

We consider an alternative to the usual spin glass paradigm for disordered magnetism, consisting of the previously unstudied combination of frustrated magnetic interactions and pseudo-dipolar disorder in spin positions. We argue that this…

Other Condensed Matter · Physics 2011-11-02 S. T. Banks , S. T. Bramwell

Magnetic frustration is a route that can lead to the emergence of novel ground states, including spin liquids and spin ices. Such frustration can be introduced through either the geometry of lattice structures or by incompatible exchange…