Thermally and field-driven mobility of emergent magnetic charges in square artificial spin ice
Sophie A. Morley, Jose Maria Porro, Ale\v{s} Hrabec, Mark C. Rosamond,, Edmund H. Linfield, Gavin Burnell, Mi-Young Im, Peter J. Fischer, Sean, Langridge, Christopher H. Marrows

TL;DR
This study investigates how emergent magnetic monopoles in artificial square spin ice respond to thermal and magnetic field stimuli, revealing a linear drift regime and temperature-dependent mobility characteristics.
Contribution
It introduces a detailed analysis of monopole mobility in artificial spin ice, incorporating a creep model and temperature effects, advancing understanding of magnetic charge dynamics.
Findings
Monopole drift velocity is linear in field above a critical threshold.
Monopole mobility increases with temperature and interaction strength.
Temperature-dependent critical field described by an extended Bean-Livingston model.
Abstract
Designing and constructing model systems that embody the statistical mechanics of frustration is now possible using nanotechnology. We have arranged nanomagnets on a two-dimensional square lattice to form an artificial spin ice, and studied its fractional excitations, emergent magnetic monopoles, and how they respond to a driving field using X-ray magnetic microscopy. We observe a regime in which the monopole drift velocity is linear in field above a critical field for the onset of motion. The temperature dependence of the critical field can be described by introducing an interaction term into the Bean-Livingston model of field-assisted barrier hopping. By analogy with electrical charge drift motion, we define and measure a monopole mobility that is larger both for higher temperatures and stronger interactions between nanomagnets. The mobility in this linear regime is described by a…
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