Localised magnetic excitations of coupled impurities in a transverse Ising ferromagnet

TL;DR

This paper uses Green's function formalism within the transverse Ising model to analyze how the exchange coupling, position, and orientation of two impurities affect localized magnetic excitations in a ferromagnet.

Contribution

It introduces a detailed Green's function approach to study coupled impurity excitations in a transverse Ising ferromagnet, highlighting the influence of impurity parameters.

Findings

Impurity coupling significantly alters localized spin wave spectra.

Impurity position and orientation affect excitation energies.

The formalism provides insights into impurity-induced magnetic excitations.

Abstract

A Green's function formalism is used to calculate the spectrum of excitations of two neighboring impurities implanted in a semi-infinite ferromagnetic. The equations of motion for the Green's functions are determined in the framework of the Ising model in a transverse field and results are given for the effect of the exchange coupling, position and orientation of the impurities on the spectra of localized spin wave modes.