2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/18886Recent 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.Proceeding of the workshop on "Low-Dimensional Quantum Antiferromagnets" (Fukuoka, Nov. 2001)Statistical Mechanicstext