Analysis of a fully packed loop model arising in a magnetic Coulomb phase

Details Analysis of a fully packed loop model arising in a magnetic Coulomb phase Analysis of a fully packed loop model arising in a magnetic Coulomb phase

2011-03-28

arxiv.org/abs/1103.5397v1

Phys. Rev. Lett. 107, 177202 (2011)

Physics

Condensed Matter

Statistical Mechanics

5 pages, 4 figures

Scientific paper

10.1103/PhysRevLett.107.177202

The Coulomb phase of spin ice, and indeed the Ic phase of water ice, naturally realise a fully-packed two-colour loop model in three dimensions. We present a detailed analysis of the statistics of these loops, which avoid themselves and other loops of the same colour, and contrast their behaviour to an analogous two-dimensional model. The properties of another extended degree of freedom are also addressed, flux lines of the emergent gauge field of the Coulomb phase, which appear as "Dirac strings" in spin ice. We mention implications of these results for related models, and experiments.

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