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 non-trivial three spin correlations.
@article{arxiv.cond-mat/9409091,
title = {Odd time magnetic correlations and chiral spin nematics},
author = {A. V. Balatsky and Elihu Abrahams},
journal= {arXiv preprint arXiv:cond-mat/9409091},
year = {2009}
}