# Dynamics of Phase Separated States in the Double Exchange Model

## TL;DR

This paper uses large-scale simulations to analyze the dynamics of phase-separated states in the double exchange model, revealing magnetic signatures relevant to colossal magnetoresistance in manganites.

## Contribution

It introduces an efficient real-space method to compute the dynamical structure factor of nanoscale magnetic textures in the double exchange model.

## Key findings

- Magnon signals dominate at low doping levels.
- Localized modes from magnetic polarons are observed.
- Large ferromagnetic clusters produce a low-energy continuum.

## Abstract

We present extensive large-scale dynamical simulations of phase-separated states in the double exchange model. These inhomogeneous electronic states that play a crucial role in the colossal magnetoresistance phenomenon are composed of ferromagnetic metallic clusters embedded in an antiferromagnetic insulating matrix. We compute the dynamical structure factor of these nanoscale textures using an efficient real-space formulation of coupled spin and electron dynamics. Dynamical signatures of the various underlying magnetic structures are identified. At small hole doping, the structure factor exhibits a dominating signal of magnons from the background N\'eel order and localized modes from magnetic polarons. A low-energy continuum due to large-size ferromagnetic clusters emerges at higher doping levels. Implications for experiments on magnetoresistive manganites are discussed.