Longitudinal domain wall formation in elongated assemblies of ferromagnetic nanoparticles

Tuning the dimensional order in self-assembled magnetic nanostructures: theory, simulations, and experiments

A major obstacle to building nanoscale magnetic devices or even experimentally studying novel nanomagnetic spin textures is the present lack of a simple and robust method to fabricate various nano-structured alloys. Here, theoretical and experimental investigations were conducted to understand the underlying physical mechanisms of magnetic particle self-assembly in zero applied magnetic field. By changing the amount of NaOH added during the synthesis, we demonstrate that the resulting morphology of the assembled FeCo structure can be tuned from zero-dimensional (0D) nanoparticles to one-dimensional (1D) chains, and even three-dimensional (3D) networks. Two numerical simulations were developed to predict aspects of nanostructure formation by accounting for the magnetic interactions between individual magnetic nanoparticles. The first utilized the Boltzmann distribution to determine the equilibrium structure of a nanochain, iteratively predicting the local deviation angle θ of each particle as it attaches to a forming chain. The second simulation illustrates the differences in nanostructure arrangement and dimensionality (0D, 1D, or 3D) that arise from random interactions at various nanoparticle densities. The simulation results closely match the experimental findings, as seen from SEM images, demonstrating their ability to capture the system's structural properties. In addition, magnetic hysteresis measurements of the samples were performed along two orthogonal directions to show the influence of dimensional order on the magnetic behavior. The normalized remanence (MR/MS||) of the FeCo alloys increases as the dimensions of nanostructures are increased. Of the three cases, the FeCo 3D network structures exhibit the highest normalized nanostructure remanence of 0.33 and an increased coercivity to above 200 Oe at 300 K. This combined numerical and experimental investigation aims to shed light on the preparation of FeCo nanostructures with tailorable dimensional order and it opens new avenues for exploring the complex spin textures and coercive behavior of these multi-dimensional nanomagnetic structures.

Simulated clustering dynamics of colloidal magnetic nanoparticles

Magnetically guided self-assembly of nanoparticles is a promising bottom-up method to fabricate novel materials and superstructures, such as, for example, magnetic nanoparticle clusters for biomedical applications. The existence of assembled structures has been verified by numerous experiments, yet a comprehensive theoretical framework to explore design possibilities and predict emerging properties is missing. Here we present a model of magnetic nanoparticle interactions built upon a Langevin dynamics algorithm to simulate the time evolution and aggregation of colloidal suspensions. We recognise three main aggregation regimes: non-aggregated, linear and clustered. Through systematic simulations we have revealed the link between single particle parameters and which aggregates are formed, both in terms of the three regimes and the chance of finding specific aggregates, which we characterise by nanoparticle arrangement and net magnetic moment. Our findings are shown to agree with past experiments and may serve as a stepping stone to guide the design and interpretation of future studies.

Anisotropic self-assemblies of magnetic nanoparticles: experimental evidence of low-field deviation from the linear response theory and empirical model

The heating ability upon application of an alternating magnetic field of a system of monodisperse and non-interacting superparamagnetic nanoparticles is described by Rosensweig's model within the linear response limits. But in real applications, nanoparticle systems are rarely monodisperse or non-interacting, and predicting their heating ability is challenging, since it requires considering single-particle, inter-particle and collective effects. Herein we give experimental evidence of a collective effect that invalidates the linear response limits in self-assembled anisotropic arrangements. This effect allows tuning Néel relaxation times and, in turn, blocking temperatures, by just varying the alternating magnetic field amplitude. The analysis of the source magnetic and magnetothermal data leads to the development of an empirical model describing the modified Néel relaxation times in terms of characteristic parameters, whose physical interpretation is discussed. As a result, the dependency of Néel relaxation time on the magnetic field amplitude is assigned to a strong interaction energy contribution created locally by the ordered anisotropic assemblies. The reduction of this energy upon application of higher magnetic fields is related to the loss of preferred orientation of the magnetic moment of nanoparticles within assemblies. Remarkably, this energy contribution does not depend on particle volume distribution, so it does not contribute to widening of the energy barrier distribution of the assemblies, avoiding this detrimental effect of magnetic interactions, and contributing to an excellent heating ability. This work thus provides an analytical framework to analyze or predict the magnetic behavior and heating ability of superparamagnetic nanoparticles displaying collective effects.