Theory of magnetotransport in artificial kagome spin ice

Abstract

Magnetic nanoarray with special geometries exhibits nontrivial collective behaviors similar to those observed in the spin ice materials. Here we present a novel circuit model to describe the complex magnetotransport phenomena in artificial kagome spin ice. In this picture, the system can be viewed as a resistor network driven by voltage sources that are located at vertices of the honeycomb array. The differential voltages across different terminals of these sources are related to the ice-rules that govern the local magnetization ordering. The circuit model relates the transverse Hall voltage of kagome ice to the underlying spin correlations. Treating the magnetic nanoarray as metamaterials, we present a mesoscopic constitutive equation relating the Hall resistance to magnetization components of the system. We further show that the Hall signal is significantly enhanced when the kagome ice undergoes a magnetic-charge ordering transition. Our analysis can be readily generalized to other lattice geometry, providing a quantitative method for the design of magnetoresistance devices based on artificial spin ices.

arXiv comment11 pages, 13 figures

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• Heisenberg pseudo-exchange and emergent anisotropies in field-driven pinwheel artificial spin ice
• On the Degeneracy of Spin Ice Graphs, and its Estimate via the Bethe Permanent
• A model for the Mediated Artificial Square Ice phenomenology
• A self-learning magnetic Hopfield neural network with intrinsic gradient descent adaption
• Field-driven Reversal Models in Artificial Spin Ice