Classical and quantum chiral order in frustrated XY magnets

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Recent studies on the chiral order of regularly frustrated XY magnets are reviewed both in classical and quantum cases. In the classical case, chiral transition is a thermal one, while in the quantum case, it is a quantum phase transition. Importance of spatial dimensionality on the chiral order is clarified. Particular attention is paid to the possible ``spin-chirality decoupling'' phenomenon, and to the possible pure chiral phase of either thermal or quantum origin where the chirality exhibits a long-range order without the standard spin order.