Magnetic multipole analysis of kagome and artificial ice dipolar arrays

Abstract

We analyse an array of linearly extended monodomain dipoles forming square and kagome lattices. We find that its phase diagram contains two (distinct) finite-entropy kagome ice regimes - one disordered, one algebraic - as well as a low-temperature ordered phase. In the limit of the islands almost touching, we find a staircase of corresponding entropy plateaux, which is analytically captured by a theory based on magnetic charges. For the case of a modified square ice array, we show that the charges ('monopoles') are excitations experiencing two distinct Coulomb interactions: a magnetic 'three-dimensional' one as well as a logarithmic `two dimensional' one of entropic origin.

4 pages, 2 figures; v2: minor changes as in final published version

References in corpus (6)

• Artificial "spin ice" in a geometrically frustrated lattice of nanoscale ferromagnetic islands
• Direct observation of the ice rule in artificial kagome spin ice
• Dynamics of domain walls in magnetic nanostrips
• Artificial square ice and related dipolar nanoarrays
• Magnetic monopole and string excitations in a two-dimensional spin ice
• Dipolar interaction in ultra-cold atomic gases

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