The magnetic analog of odd-time superconducting order is introduced. It is shown that the classification of possible odd-time magnetic states admits the existence of a novel state—the chiral spin nematic—which is characterized by an odd-in-time spin-spin correlation function. The known example of the chiral spin liquid appears naturally in this approach. The equal-time correlation function of these odd-in-time states involves nontrivial three-spin correlations.

• Received 21 September 1994

DOI:https://doi.org/10.1103/PhysRevLett.74.1004