George Miloshevich, Thierry Dauxois, Ramaz Khomeriki, S. Ruffo
Needle shaped three-dimensional classical spin systems with purely dipolar interactions have been studied in the microcanonical ensemble, with both numerical simulations and analytical approximations. We have observed spontaneous magnetization for different finite cubic lattices. The transition from the paramagnetic to the ferromagnetic phase is first order, and for two lattice types we have observed magnetization flips near the transition region. We explain these effects by mapping the model Hamiltonian to a one-dimensional Ising model with competing antiferromagnetic nearest neighbor and ferromagnetic mean-field interactions. This could be among the few, if not the first, experimentally testable prediction of the exotic properties of long-range interacting systems.
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http://arxiv.org/abs/1305.5331
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