Long-Range Effects in Layered Spin Structures

TL;DR

This paper investigates layered spin systems with long-range dipolar interactions, simplifying the complex Hamiltonian to a coupled rotator model, and suggests experimental conditions to observe long-range effects.

Contribution

It introduces a method to reduce complex layered spin Hamiltonians to a simpler coupled rotator model highlighting long-range interaction effects.

Findings

Reduction of complex Hamiltonian to coupled rotator model

Identification of temperature range where long-range interactions dominate

Potential experimental setups to observe long-range effects

Abstract

We study theoretically layered spin systems where long-range dipolar interactions play a relevant role. By choosing a specific sample shape, we are able to reduce the complex Hamiltonian of the system to that of a much simpler coupled rotator model with short-range and mean-field interactions. This latter model has been studied in the past because of its interesting dynamical and statistical properties related to exotic features of long-range interactions. It is suggested that experiments could be conducted such that within a specific temperature range the presence of long-range interactions crucially affect the behavior of the system.