Model of localized highly frustrated ferromagnetism:  The<i>kagomé</i>spin ice

Wills, A. S.; Ballou, R.; Lacroix, C.

doi:10.1103/physrevb.66.144407

Cited by 151 publications

(179 citation statements)

References 18 publications

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“…These kagome spins retain a fraction of the zero-field spin ice entropy, though still preserving the spin ice rules (two-in, two-out) of the parent pyrochlore system. This leads to classically disordered state, termed kagome ice 22,[24][25][26] , evidenced to date in several experimental studies on spin ice materials [27][28][29] .…”

Section: Resultsmentioning

confidence: 98%

A two-dimensional spin liquid in quantum kagome ice

2015

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Actively sought since the turn of the century, two-dimensional quantum spin liquids (QSLs) are exotic phases of matter where magnetic moments remain disordered even at zero temperature. Despite ongoing searches, QSLs remain elusive, due to a lack of concrete knowledge of the microscopic mechanisms that inhibit magnetic order in materials. Here we study a model for a broad class of frustrated magnetic rare-earth pyrochlore materials called quantum spin ices. When subject to an external magnetic field along the [111] crystallographic direction, the resulting interactions contain a mix of geometric frustration and quantum fluctuations in decoupled two-dimensional kagome planes. Using quantum Monte Carlo simulations, we identify a set of interactions sufficient to promote a groundstate with no magnetic long-range order, and a gap to excitations, consistent with a Z 2 spin liquid phase. This suggests an experimental procedure to search for two-dimensional QSLs within a class of pyrochlore quantum spin ice materials.

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Section: Resultsmentioning

confidence: 98%

A two-dimensional spin liquid in quantum kagome ice

2015

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“…This is in contrast to a kagome spin ice, where the three islands centred around a vertex are equivalent [10,21]. Figure 1 shows a close-up view of a sample consisting of islands arranged on a kagome lattice.…”

Section: Artificial Kagome Spin-ice Systemmentioning

confidence: 99%

Artificial kagome spin ice: dimensional reduction, avalanche control and emergent magnetic monopoles

Hügli

Duff

O'Conchuir

et al. 2012

Phil. Trans. R. Soc. A.

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Artificial spin-ice systems consisting of nanolithographic arrays of isolated nanomagnets are model systems for the study of frustration-induced phenomena. We have recently demonstrated that monopoles and Dirac strings can be directly observed via synchrotronbased photoemission electron microscopy, where the magnetic state of individual nanoislands can be imaged in real space. These experimental results of Dirac string formation are in excellent agreement with Monte Carlo simulations of the hysteresis of an array of dipoles situated on a kagome lattice with randomized switching fields. This formation of one-dimensional avalanches in a two-dimensional system is in sharp contrast to disordered thin films, where avalanches associated with magnetization reversal are twodimensional. The self-organized restriction of avalanches to one dimension provides an example of dimensional reduction due to frustration. We give simple explanations for the origin of this dimensional reduction and discuss the disorder dependence of these avalanches. We conclude with the explicit demonstration of how these avalanches can be controlled via locally modified anisotropies. Such a controlled start and stop of avalanches will have potential applications in data storage and information processing.

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“…Interestingly, this same lattice has also been studied theoretically using Metropolis Monte Carlo simulations [17]. The kagome lattice is a two-dimensional structure composed of corner-sharing triangles.…”

Section: Textmentioning

confidence: 99%

Direct observation of the ice rule in an artificial kagome spin ice

2008

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Abstract:Recently, significant interest has emerged in fabricated systems that mimic the behavior of geometrically-frustrated materials. We present the full realization of such an artificial spin ice system on a two-dimensional kagome lattice and demonstrate rigid adherence to the local ice rule by directly counting individual pseudo-spins. The resulting spin configurations show not only local ice rules and long-range disorder, but also correlations consistent with spin ice Monte Carlo calculations. Our results suggest that dipolar corrections are significant in this system, as in pyrochlore spin ice, and they open a door to further studies of frustration in general. 75.75.+a, 75.50.Lk

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Model of localized highly frustrated ferromagnetism: Thekagoméspin ice

Cited by 151 publications

References 18 publications

A two-dimensional spin liquid in quantum kagome ice

A two-dimensional spin liquid in quantum kagome ice

Artificial kagome spin ice: dimensional reduction, avalanche control and emergent magnetic monopoles

Direct observation of the ice rule in an artificial kagome spin ice

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