# Distinct nature of static and dynamic magnetic stripes in cuprate superconductors

## TL;DR

This study reveals that static and dynamic magnetic stripes in cuprate superconductors are fundamentally different, with dynamic stripes not being Goldstone modes of static stripes, implying distinct origins and phases relevant to high-temperature superconductivity.

## Contribution

The paper provides detailed neutron scattering evidence showing static and dynamic stripes are separate phenomena, challenging previous assumptions about their relationship in cuprate superconductors.

## Key findings

- Dynamic stripes do not disperse towards static stripes at low energy.
- Static and dynamic stripes originate from different domains or phases.
- Results clarify earlier observations of unusual dispersions in cuprates.

## Abstract

We present detailed neutron scattering studies of the static and dynamic stripes in an optimally doped high-temperature superconductor, La$_2$CuO$_{4+y}$. We find that the dynamic stripes do not disperse towards the static stripes in the limit of vanishing energy transfer. We conclude that the dynamic stripes observed in neutron scattering experiments are not the Goldstone modes associated with the broken symmetry of the simultaneously observed static stripes, but rather that the signals originate from different domains in the sample. These domains may be related by structural twinning, or may be entirely different phases, where the static stripes in one phase are pinned versions of the dynamic stripes in the other. Our results explain earlier observations of unusual dispersions in underdoped La$_{2-x}$Sr$_x$CuO$_{4}$ ($x=0.07$) and La$_{2-x}$Ba$_x$CuO$_{4}$ ($x=0.095$). Our findings are relevant for all compounds exhibiting magnetic stripes, and may thus be a vital part in unveiling the nature of high temperature superconductivity.