# Field Theory for Magnetic Monopoles in (Square, Artificial) Spin Ice

@article{Nisoli2020FieldTF, title={Field Theory for Magnetic Monopoles in (Square, Artificial) Spin Ice}, author={Cristiano Nisoli}, journal={arXiv: Mesoscale and Nanoscale Physics}, year={2020} }

Proceeding from the more general to the more concrete, we propose an equilibrium field theory describing spin ice systems in terms of topological charges and magnetic monopoles. We show that for a spin ice on a graph, the entropic interaction in a Gaussian approximation is the inverse of the graph Laplacian matrix, while the screening function for external charges is the inverse of the screened laplacian. We particularize the treatment to square and pyrochlore ice. For square ice we highlight…

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