Gravitational realization of magnons in a ferromagnetic spin chain

TL;DR

This paper develops a holographic gravitational model for magnons in a ferromagnetic spin chain, linking spin interactions to brane positions in a black hole background, and explores entanglement entropy as a measure of coupling differences.

Contribution

It introduces a novel holographic framework connecting magnon dynamics in spin chains with gravitational systems, incorporating entanglement entropy to quantify coupling differences.

Findings

Couplings relate to brane positions in the gravitational model.

Entanglement entropy at finite temperature correlates with chain couplings.

The model embeds spin chain physics into a holographic gravitational system.

Abstract

A gravitational model of magnons in thermal equilibrium with a ferromagnetic spin chain is developed in a phenomenological bottom-up approach. A large Schwarzschild-AdS black hole background is used as the thermal reservoir and the magnon dynamics is obtained by scalar fields and branes in the bulk. The key feature of this model is that the coupling of the spin chain is related with the radial position in which the brane is located. We further study a ferromagnetic spin chain with a competing interaction and find that the couplings are related by the difference of positions of the branes. We show how to obtain the model from a weak limit of a dynamical gravitational system. This allows us to embed the model into a holographic system. The couplings can be related to entanglement entropy at finite temperature of the CFT since the turning point of minimal surfaces coincides with the position of the branes. The difference of entropy is used to define a notion of distance between the chain couplings.