Odd-Time Magnetic Correlations and Chiral Spin Nematics

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Abstract
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.
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