A detailed analysis of dipolar interactions and analytical approximations in arrays of magnetic nanowires

TL;DR

This paper provides analytical expressions for magnetostatic interactions in magnetic nanowire arrays, examining the validity of various approximations and how wire orientation affects energy convergence.

Contribution

It introduces new analytical formulas for dipolar interactions and evaluates the range of validity of common approximations in magnetic nanowire arrays.

Findings

Dipole-dipole approximation validity depends on wire orientation.

Number of wires for energy convergence varies with magnetic configuration.

Analytical expressions improve understanding of interwire magnetostatic interactions.

Abstract

The investigation of the role of interactions in magnetic wire arrays is complex and often subject to strong simplifications. In this paper we obtained analytical expressions for the magnetostatic interactions between wires and investigate the range of validity of dipole-dipole, first order and second order approximations. We also analyze the extension of the interwire magnetostatic interactions in a sample and found that the number of wires required to reach energy convergence in the array strongly depends on the relative magnetic orientation between the wires.