Smerald, AndrewMila, Frederic2018-12-132018-12-132018-12-132018-09-0110.21468/SciPostPhys.5.3.030https://infoscience.epfl.ch/handle/20.500.14299/152068WOS:000446367900007We study the triangular-lattice Ising model with dipolar interactions, inspired by its realisation in artificial arrays of nanomagnets. We show that a classical spin-liquid forms at intermediate temperatures, and that its behaviour can be tuned by temperature and/or a small lattice distortion between a string Luttinger liquid and a domain-wall-network state. At low temperature there is a transition into a magnetically ordered phase, which can be first-order or continous with a crossover in the critical behaviour between Pokrovsky-Talapov and 2D-Ising universality. When the Pokrovsky-Talapov criticality dominates, the transition is essentially of the Kasteleyn type.Physics, MultidisciplinaryPhysicscommuting variable integrals2-dimensional incommensurate crystalsmonte-carlostatistical-mechanicsphase-transitionsground-stateclassical dimersdomain-wallsmodeldislocationstext::journal::journal article::research article