Classical Topological Order in Kagome Ice

Details Classical Topological Order in Kagome Ice Classical Topological Order in Kagome Ice

2010-11-01

arxiv.org/abs/1011.0469v1

J. Phys.: Condens. Matter 23 164208 (2011)

Physics

Condensed Matter

Disordered Systems and Neural Networks

17 pages, 9 figures

Scientific paper

10.1088/0953-8984/23/16/164208

We examine the onset of classical topological order in a nearest-neighbor kagome ice model. Using Monte Carlo simulations, we characterize the topological sectors of the groundstate using a non-local cut measure which circumscribes the toroidal geometry of the simulation cell. We demonstrate that simulations which employ global loop updates that are allowed to wind around the periodic boundaries cause the topological sector to fluctuate, while restricted local loop updates freeze the simulation into one topological sector. The freezing into one topological sector can also be observed in the susceptibility of the real magnetic spin vectors projected onto the kagome plane. The ability of the susceptibility to distinguish between fluctuating and non-fluctuating topological sectors should motivate its use as a local probe of topological order in a variety of related model and experimental systems.

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