Direct observation of the ice rule in artificial kagome spin ice

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.

arXiv comment17 pages, 4 figures, 1 table

References in corpus (11)

• Artificial "spin ice" in a geometrically frustrated lattice of nanoscale ferromagnetic islands
• Long Range Order at Low Temperature in Dipolar Spin Ice
• Artificial square ice and related dipolar nanoarrays
• Thermodynamic Properties of the Dipolar Spin Ice Model
• Theory of the [111] magnetization plateau in spin ice
• Ground state lost but degeneracy found: the effective thermodynamics of artificial spin ice
• Realizing Colloidal Artificial Ice on Arrays of Optical Traps
• Kagomé ice state in the dipolar spin ice Dy_{2}Ti_{2}O_{7}
• Anisotropic Release of the Residual Zero-point Entropy in the Spin Ice Compound Dy2Ti2O7: Kagome-ice Behavior
• Hysteretic Optimization
• Anti-ferromagnetic ordering in arrays of superconducting pi-rings

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