A model of purely quadrupolar interactions on the pyrochlore lattice exhibits doubled easy-plane phases, spin-dependent order-by-disorder, and a rank-3 tensor spin liquid with six-fold pinch points.
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Geometrically Frustrated Quadrupoles on the Pyrochlore Lattice and Generalized Spin Liquids
A model of purely quadrupolar interactions on the pyrochlore lattice exhibits doubled easy-plane phases, spin-dependent order-by-disorder, and a rank-3 tensor spin liquid with six-fold pinch points.