Calculation of the phase of hidden rotating antiferromagnetic order

TL;DR

This paper calculates the phase of rotating antiferromagnetic order using mean-field and Heisenberg equations, revealing a linear time dependence that suggests a synchronized precession of spins, with implications for high-temperature superconductor pseudogap states.

Contribution

It introduces a method to compute the phase of rotating antiferromagnetism, showing its linear time dependence and linking it to spin precession phenomena in superconducting materials.

Findings

The phase exhibits a linear time dependence.

Rotating antiferromagnetism can be viewed as synchronized spin precession.

Implications for understanding the pseudogap in high-$T_C$ superconductors.

Abstract

The phase of the rotating order parameter in rotating antiferromagnetism is calculated using a combination of mean-field theory and Heisenberg equation. This phase shows a linear time dependence, which allows us to interpret rotating antiferromagnetism as a synchronized Larmor-like precession of all the spins in the system or as an unusual ${\bf q}=(\pi,\pi)$ spin-wave around a zero local magnetization. We discuss implications for the pseudogap state of high-$T_C$ superconducting materials. Rotating antiferromagnetism has been proposed to model the pseudogap state in these materials.