Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2011-12-16
Physics
Condensed Matter
Statistical Mechanics
20 pages, 12 figures. Submitted to New Journal of Physics
Scientific paper
The thermally-driven formation and evolution of vertex domains is studied for square artificial spin ice. A self consistent mean field theory is used to show how domains of ground state ordering form spontaneously, and how these evolve in the presence of disorder. The role of fluctuations is studied, using Monte Carlo simulations and analytical modelling. Domain wall dynamics are shown to be driven by a biasing of random fluctuations towards processes that shrink closed domains, and fluctuations within domains are shown to generate isolated small excitations, which may stabilise as the effective temperature is lowered. Domain dynamics and fluctuations are determined by interaction strengths, which are controlled by inter-element spacing. The role of interaction strength is studied via experiments and Monte Carlo simulations. Our mean field model is applicable to ferroelectric `spin' ice, and we show that features similar to that of magnetic spin ice can be expected, but with different characteristic temperatures and rates.
Akerman Johan
Budrikis Zoe
Langridge Sean
Livesey K. L.
Marrows Chris H.
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