SpinWaves in Ferromagnetic Dots 2D Honeycomb Lattice Stripes

TL;DR

This study uses the Heisenberg Hamiltonian to analyze spin wave modes in ferromagnetic honeycomb lattice stripes, revealing effects of structural parameters and proposing magnetic graphene analogs for spintronics.

Contribution

It introduces a method to calculate spin wave modes in ferromagnetic honeycomb stripes using the E matrix, linking magnetic excitations to graphene nanoribbon models.

Findings

Spin wave modes are eigenvalues of the E matrix.

Stripe width, edge exchange, and impurities affect spin wave spectra.

Results closely match graphene nanoribbon electronic excitation models.

Abstract

In this work, the spin wave calculations were carried out using the Heisenberg Hamiltonian to study the allowed spin waves of zigzag and armchair edged stripes for ferromagnetic nanodots arrayed in a 2D honeycomb lattice \cite{Selim2011}. The Hamiltonian is used to construct the $\mathbf{E}$ matrix which encodes the exchange flow of magnons in the stripes. It is found that the allowed spin wave modes are the eigenvalues of the $\mathbf{E}$ matrix and therefore it is used to study the effects of the stripe width, edge exchange, the edge uniaxial anisotropy, and impurities on the allowed spin waves of stripes. The obtained results almost coincide with the results of graphene nanoribbons described by tight binding Hamiltonian for electronic excitations. Therefore, we suggest the fabrication of the magnetic counterpart to graphene as a new technology in the field of spintronic devices and magnetic applications.