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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

An important and continuing theme of modern solid state physics is the realization of exotic excitations in materials (e.g. quasiparticles) that have no analogy (or have not yet been observed) in the actual physical vacuum of free space.…

Strongly Correlated Electrons · Physics 2016-05-04 LiDong Pan , N. J. Laurita , Kate A. Ross , Edwin Kermarrec , Bruce D. Gaulin , N. P. Armitage

Magnetricity- the magnetic equivalent of electricity- was recently verified experimentally for the first time. Indeed, just as the stream of electric charges produces electric current, emergent magnetic monopoles have been observed to roam…

Mesoscale and Nanoscale Physics · Physics 2014-04-17 R. P. Loreto , L. A. Morais , R. C. Silva , F. S. Nascimento , C. I. L. de Araujo , L. A. S. Mól , W. A. Moura-Melo , A. R. Pereira

Ice states, in which frustrated interactions lead to a macroscopic ground-state degeneracy, occur in water ice, in problems of frustrated charge order on the pyrochlore lattice, and in the family of rare-earth magnets collectively known as…

Strongly Correlated Electrons · Physics 2015-03-19 Nic Shannon , Olga Sikora , Frank Pollmann , Karlo Penc , Peter Fulde

We combine two aspects of magnetic frustration, multiferroicity and emergent quasi-particles in spin liquids, by studying magneto-electric monopoles. Spin ice offers to couple these emergent topological defects to external fields, and to…

Strongly Correlated Electrons · Physics 2015-06-24 Ludovic D. C. Jaubert , R. Moessner

Magnetic monopoles are hypothesised elementary particles connected by Dirac strings that behave like infinitely thin solenoids. Despite decades of searches, free magnetic monopoles and their Dirac strings have eluded experimental detection,…

It has been proposed recently \cite{son} that excitations in Spin Ice can be of the form of magnetic monopoles that does not obey the Dirac Quantization Condition. It is also well known \cite{rj} that the above scenario leads to…

Strongly Correlated Electrons · Physics 2008-01-24 Subir Ghosh

A quantum spin liquid is a novel state of matter characterized by quantum entanglement and the absence of any broken symmetry. In condensed matter, the frustrated rare-earth pyrochlore magnets Ho$_2$Ti$_2$O$_7$ and Dy$_2$Ti$_2$O$_7$,…

Strongly Correlated Electrons · Physics 2017-04-05 E. Kermarrec , J. Gaudet , K. Fritsch , R. Khasanov , Z. Guguchia , C. Ritter , K. A. Ross , H. A. Dabkowska , B. D. Gaulin

Spin-ices are frustrated magnets that support a particularly rich variety of emergent physics. Typically, it is the interplay of magnetic dipole interactions, spin anisotropy, and geometric frustration on the pyrochlore lattice that drives…

We study dynamics in classical spin ice following a magnetic field quench to close to the Kasteleyn transition, using Monte Carlo simulations and dynamic scaling theory to characterize the relaxation of the magnetization and the density of…

Statistical Mechanics · Physics 2026-03-23 Sukla Pal , Stephen Powell

Water ice and spin ice are important model systems in which theory can directly account for zero point entropy associated with quenched configurational disorder. Spin ice differs from water ice in the important respect that its fundamental…

Strongly Correlated Electrons · Physics 2009-11-13 X. Ke , R. S. Freitas , B. G. Ueland , G. C. Lau , M. L. Dahlberg , R. J. Cava , R. Moessner , P. Schiffer

The interplay of disorder and competing interactions is investigated in the carrier-induced ferromagnetic state of the Kondo lattice model within a numerical finite-size study in which disorder is treated exactly. Competition between…

Strongly Correlated Electrons · Physics 2009-11-11 Avinash Singh , Subrat K. Das , Anand Sharma , Wolfgang Nolting

In this study, we show that dynamical frustration can spontaneously emerge in frustration-free magnetic systems under periodic driving. Specifically, we consider a classical spin system and demonstrate the emergence of spin-ice physics when…

Statistical Mechanics · Physics 2025-11-13 Chenyue Guo , Hongzheng Zhao , Zi Cai

Spin ice magnetic monopoles are fractionalized emergent excitations in a class of frustrated magnets called spin ices. The classical spin ice model has an extensive number of ground state spin configurations, whereas magnetic monopoles can…

Strongly Correlated Electrons · Physics 2018-07-09 Olga Petrova

In this work we propose and study a realization of an artificial spin ice-like system, not based on any real material, in a triangular geometry. At each vertex of the lattice, the "ice-like rule" dictates that three spins must point inward…

Mesoscale and Nanoscale Physics · Physics 2012-12-17 L. A. S. Mól , A. R. Pereira , W. A. Moura-Melo

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

We describe degenerate square spin as an ensemble of magnetic monopoles coupled via an emergent entropic field that subsumes the effect of the underlying spin vacuum. We compute their effective free energy, entropic interaction,…

Mesoscale and Nanoscale Physics · Physics 2021-07-21 Cristiano Nisoli

Quenched disorder affects how non-equilibrium systems respond to driving. In the context of artificial spin ice, an athermal system comprised of geometrically frustrated classical Ising spins with a two-fold degenerate ground state, we give…

Mesoscale and Nanoscale Physics · Physics 2012-07-18 Zoe Budrikis , J. P. Morgan , J. Akerman , A. Stein , Paolo Politi , S. Langridge , C. H. Marrows , R. L. Stamps

Artificial spin ices (ASIs) are interacting arrays of lithographically-defined nanomagnets in which novel frustrated magnetic phases can be intentionally designed. A key emergent description of fundamental excitations in ASIs is that of…

Mesoscale and Nanoscale Physics · Physics 2021-03-10 M. Goryca , X. Zhang , J. Li , A. L. Balk , J. D. Watts , C. Leighton , C. Nisoli , P. Schiffer , S. A. Crooker

Fractals -- objects with non-integer dimensions -- occur in manifold settings and length scales in nature, ranging from snowflakes and lightning strikes to natural coastlines. Much effort has been expended to generate fractals for use in…

Strongly Correlated Electrons · Physics 2022-12-19 Jonathan N. Hallén , Santiago A. Grigera , D. Alan Tennant , Claudio Castelnovo , Roderich Moessner
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