Monte Carlo Simulations of a $111$-Ising Dipolar Model on the Hyper-kagom\'{e} Lattice

Motivated by the physics of dipolar spin ice, we investigate the hyper-kagom\'{e} lattice with $111$-Ising spins. The hyper-kagom\'{e} lattice can be generated by a selective removal of one site per tetrahedron of the pyrochlore lattice to yield a lattice of corner-sharing triangles. The spin-$1/2$ Ir$^{4+}$ ions of Na$_4$I$_3$O$_8$ represent an experimental realization of the hyper-kagom\'{e} structure. We report preliminary results from Monte Carlo simulations of the $111$-Ising dipolar hyper-kagom\'{e} model, which represents a yet to be studied disorder-free limiting case of diluted spin ice.