Odd time magnetic correlations and chiral spin nematics

TL;DR

This paper introduces the concept of odd-time magnetic correlations, revealing a new chiral spin nematic state characterized by odd-in-time spin correlations, and connects it to known chiral spin liquids.

Contribution

It proposes a novel classification of odd-time magnetic states, including the chiral spin nematic, expanding understanding of magnetic quantum states.

Findings

Identification of chiral spin nematic as an odd-time magnetic state

Connection between odd-time correlations and known chiral spin liquids

Characterization of non-trivial three-spin correlations in these states

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 non-trivial three spin correlations.