Odd-time magnetic correlations and chiral spin nematics.

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. Typeset using REVTEX