Magnetic multipole analysis of kagome and artificial ice dipolar arrays

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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

Scientific paper

10.1103/PhysRevB.80.140409

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.

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