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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

Magnetic monopoles and kinks are topological excitations extensively investigated in quantum spin systems, but usually they are studied in different setups. We explore the conditions for the coexistence and the interaction effects of these…

Using the Dirac string formalism for monopoles we expose an extensive analogy between magnetic monopole excitations in the dumbbell model of spin ice and those of the vacuum. In both cases the Dirac strings are defined in the space-time of…

Strongly Correlated Electrons · Physics 2025-05-22 A. Huster Zapke , P. C. W. Holdsworth

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

We analyse an array of linearly extended monodomain dipoles forming square and kagome lattices. We find that its phase diagram contains two (distinct) finite-entropy kagome ice regimes - one disordered, one algebraic - as well as a…

Statistical Mechanics · Physics 2010-08-02 Gunnar Moller , R. Moessner

One of the most remarkable examples of emergent quasi-particles, is that of the "fractionalization" of magnetic dipoles in the low energy configurations of materials known as "spin ice", into free and unconfined magnetic monopoles…

Other Condensed Matter · Physics 2015-03-17 Ludovic D. C. Jaubert , Peter C. W. Holdsworth

We investigate the thermodynamics of artificial square spin ice systems assuming only dipolar interactions among the islands that compose the array. The emphasis is given on the effects of the temperature on the elementary excitations…

Mesoscale and Nanoscale Physics · Physics 2012-02-07 R. C. Silva , F. S. Nascimento , L. A. S. Mól , W. A. Moura-Melo , A. R. Pereira

We report an artificial geometrically frustrated magnet based on an array of lithographically fabricated single-domain ferromagnetic islands. The islands are arranged such that the dipole interactions create a two-dimensional analogue to…

Disordered Systems and Neural Networks · Physics 2009-11-11 R. F. Wang , C. Nisoli , R. S. Freitas , J. Li , W. McConville , B. J. Cooley , M. S. Lund , N. Samarth , C. Leighton , V. H. Crespi , P. Schiffer

We propose a classical model Hamiltonian with a ground state presenting a spin ice structure. We analyze the introduction of metastable excitations on this ground state, showing the emergence of pairs of magnetic monopoles. The interaction…

Materials Science · Physics 2016-11-15 J. E. da Fonseca , C. W. Morais , A. L. Mota , L. H. C. M. Nunes

We report on a theoretical investigation of artificial spin-ice dipolar arrays, using a nanoisland geometry adopted from recent experiments [A. Farhan \textit{et al.}, Nature Phys.\ \textbf{9} (2013) 375]. The number of thermal magnetic…

Mesoscale and Nanoscale Physics · Physics 2014-01-27 Danny Thonig , Stephan Reißaus , Ingrid Mertig , Jürgen Henk

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

We present a proposal for applying nanoscale magnetometry to the search for magnetic monopoles in the spin ice materials holmium and dysprosium titanate. Employing Monte Carlo simulations of the dipolar spin ice model, we find that when…

Strongly Correlated Electrons · Physics 2018-04-25 Franziska K. K. Kirschner , Felix Flicker , Amir Yacoby , Norman Y. Yao , Stephen J. Blundell

A magnetic monopole in spin ice is a novel quasiparticle excitation in condensed matter physics, and we found that the ac frequency dependent magnetic susceptibility $\chi(\omega)$ in the two-dimensional (2D) spin ice (so-called kagom\'{e}…

Magnetic monopole quasiparticles in spin ice materials hold the potential for exploring new frontiers of physics that extend beyond Maxwell's equations. We have previously proposed a two-dimensional magnetic monopole gas (2DMG), confined at…

Materials Science · Physics 2025-11-26 Prakash Timsina , Boris Kiefer , Ludi Miao

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

We study classical spin ice under uniaxial strain along the $[111]$ crystallographic axis. Remarkably, such strain preserves the extensive ice degeneracy and the corresponding classical Coulomb phase. The emergent monopole excitations…

Strongly Correlated Electrons · Physics 2024-11-22 Zhongling Lu , Robin Schäfer , Jonathan N. Hallén , Chris R. Laumann

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

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

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

Artificial spin ice offers the possibility to investigate a variety of dipolar orderings, spin frustrations and ground states. However, the most fascinating aspect is the realization that magnetic charge order can be established without…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 A. Schumann , B. Sothmann , P. Szary , H. Zabel