Towards magnetic monopole interaction measurement in artificial spin ice systems

In this paper we seek for detectable modifications in system properties induced by the Coulombian interactions between magnetic monopoles in an artificial spin ice system as an attempt to provide theoretical support to experiments devoted to measure the magnetic charge of monopole excitations. To this end an emergent vertex model was developed, validated and afterwards used to explore Coulombian interaction modifications on the distribution of monopole-like excitations in a magnetization reversal process. Our results show that the analysis of the skewness and kurtosis of the distribution of monopoles can be used to identify the presence of Coulombian interactions. These results are shown to be robust against the presence of disorder and temperature fluctuations.