Research Article
Influence of the Distance between Nanoparticles in Clusters on
the Magnetization Reversal Process
Andrea Ehrmann
1
and Tomasz Blachowicz
2
1
Faculty of Engineering and Mathematics, Bielefeld University of Applied Sciences, Interaktion 1, 33619 Bielefeld, Germany
2
Institute of Physics-Center for Science and Education, Silesian University of Technology, Ul. Konarskiego 22B, 44-100 Gliwice, Poland
Correspondence should be addressed to Andrea Ehrmann; andrea.ehrmann@f-bielefeld.de
Received 27 March 2017; Accepted 12 July 2017; Published 20 August 2017
Academic Editor: Anil Annadi
Copyright © 2017 Andrea Ehrmann and Tomasz Blachowicz. Tis is an open access article distributed under the Creative
Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the
original work is properly cited.
Fourfold magnetic nanoparticles, created from nanowires or in the form of an open square, ofer the possibility of creating
quaternary memory devices with four unambiguously distinguishable stable states at remanence. Tis feature, however, has been
simulated for single magnetic nanoparticles or clusters with interparticle distances similar to the nanoparticle dimensions. For the
possible use in bit-patterned media, it is important to understand the scaling behavior of the stability of the additional intermediate
states with the interparticle distance. Te paper investigates exemplarily nanoparticles of two shapes which were found to be
optimum to gain four states at remanence. For clusters of these particles, the probability of reaching the additional intermediate
states in all particles in the same feld region is strongly reduced with decreased interparticle distance. Te diferences between both
shapes indicate possible solutions for this problem in the form of new nanoparticle shapes.
1. Introduction
Magnetic nanoparticles are of technological interest, for
example, for magnetic storage media, magnetic sensors, and
MRAMs [1–3]. Since their overall anisotropy is governed
by the shape anisotropy [4], tailoring a nanoparticle’s form
allows for adjusting its magnetic properties. Tis is important
for the possible use of nanoparticles in bit-patterned media
or other applications in which defned anisotropies are
necessary. One possible shape consists of a fourfold ring
with diferent shape modifcations, leading to two additional
magnetic states at remanence which could be used to create
quaternary memory systems [5]. In this way, data storage
density could be increased by increasing the number of bits
per particle instead of increasing the particle density. Tis
approach has also been followed by other groups, resulting
in three, four, or up to eight magnetization states in diverse
nanostructures [6–10].
Problematic in all these magnetic systems, however, is
the interaction between neighboring nanostructures, ofen
strongly modifying the single nanoparticle’s magnetic prop-
erties. For multilayer systems, for example, distances of 30 nm
were found to be sufcient to approximate independent mag-
netic behavior of the layers [11]. In an array of nanotubes with
distances of 30 nm or 60 nm, however, even the larger dis-
tance showed a signifcant infuence of the cluster structure
on magnetization reversal, especially by nearly completely
annihilating a step in the hysteresis loop which occurred
for single nanotubes of identical geometry [12]. Since such a
step is also necessary for reaching stable intermediate states
at remanence, this fnding indicates possible problems with
downscaling the fourfold ring structure under investigation
here. For a large cluster of nanodots, the geometric shape in
which the lowest stray felds and thus the smallest infuences
between nanoparticles can be expected, nearly random mag-
netization orientations were found lately [13].
Nevertheless, for the systems under investigation here,
it was found in an another project that nanoparticles with
diameters of 120 nm and identical interparticle distances
did nearly not change their coercive felds and retained a
collective intermediate onion state which is necessary for
the creation of quaternary memory devices [14]. Due to the
necessity to further minimize such nanoparticle clusters, it
is, however, necessary to investigate the infuence of further
Hindawi
Journal of Nanomaterials
Volume 2017, Article ID 5046076, 6 pages
https://doi.org/10.1155/2017/5046076