Magnetic Ordering of Dipolar Spin Ice in Moderate  Field
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This thesis explores the low temperature physics of the macroscopically degenerate system of dipolar spin ice in moderate fields applied along the  cubic axis. While most applications of field generically lift the macroscopic degeneracy, the  direction only partially removes this degeneracy leaving behind a large manifold of states known as dipolar kagome spin ice. Building on prior numerical sampling methods, we develop non-local statistical sampling techniques specifically tailored to the dipolar kagome spin ice regime, as well as considerations about system geometry to account for commensurabilities. We will find a long rage order sets in below T < 0.1 K between a range of fields of 0.02 < T | B | < 0.83 K. This long range order will prove to be sensitive to perturbations and exist among a host of other metastable states extremely close in energy. A final discussion on future work and the possible need for clustering algorithms or study of other related systems concludes this work.