Abstract:The 600-cell is a regular 4-polytope that is a four-dimensional analog of a Platonic solid. Threedimensional Platonic solids with icosahedral I h -symmetry have been shown to have a discontinuous ground-state magnetization response in an external field at the classical and quantum level, when spins mounted on their vertices interact according to the antiferromagnetic Heisenberg model. The discontinuities are not due to anisotropy in spin space, but rather to the special connectivity of the molecules. Here the … Show more
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