Abstract

Spin disorder effects influence magnetization dynamics and equilibrium magnetic properties of real nanoparticles (NPs). In this work, we use micromagnetic simulations to try to better understand these effects, in particular, on how the magnetization reversal is projected in the character of the hysteresis loops at different temperatures. In our simulation study, we consider a prototype NP adopting a magnetic core-shell model, with magnetically coherent core and somewhat disordered shell, as it is one of the common spin architectures in real NPs. The size of the core is fixed to 5.5 nm in diameter and the shell thickness ranges from 0.5 nm to 3 nm. As a starting point in the simulations, we used typical experimental values obtained for a cobalt ferrite NP of a comparable size investigated previously. The simulations enabled us to study systematically the macrospin dynamics of the prototype NP and to address the interplay between the magnetic anisotropies of the core and the shell, respectively. We also demonstrate how the computational time step, run time, damping parameter, and thermal field influence the simulation results. In agreement with experimental studies, we observed that the direction and magnitude of the shell anisotropy influences the effective magnetic size of the core in the applied magnetic field. We conclude that micromagnetic simulations, in spite of being designed for much larger scales are a useful toolbox for understanding the magnetization processes within a single domain NP with an ordered spin structure in the core and partially disordered spins in the shell.

Highlights

  • Research on magnetic nanoparticles (NPs) continues to be viewed with great interest in a wide range of fields like drug delivery [1], bio-analysis [2], data storage [3] and magnetic fluid hyperthermia [4], to name a few

  • Understanding the response of a single magnetic NP is of utmost importance, as it has been demonstrated that the internal structure of a single magnetic NP governs the overall response to temperature and magnetic field variations as studied by advanced experimental methods such as Small Angle Neutron Scattering (SANS) and in-field Mössbauer spectroscopy (IFMS) [7,8,9,10,11]

  • In this work we report on an extensive micromagnetic simulation study to model the behavior of magnetic NPs with the magnetic core-shell spin structure observed in many samples of spinel ferrite NPs

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Summary

Introduction

Research on magnetic nanoparticles (NPs) continues to be viewed with great interest in a wide range of fields like drug delivery [1], bio-analysis [2], data storage [3] and magnetic fluid hyperthermia [4], to name a few. Better understanding of all fundamental processes behind the coveted magnetic properties is of enormous importance, especially in context of possible applications. Magnetic NP dynamics, which is the most important physical phenomenon underlying biomedical applications of magnetic NPs [5], can be usually treated within a single domain limit [6]. Large ensembles of NPs are usually addressed. Mesoscopic factors such as inter-particle interactions, NP size distribution, geometry of the ensemble etc. Understanding the response of a single magnetic NP is of utmost importance, as it has been demonstrated that the internal structure of a single magnetic NP governs the overall response to temperature and magnetic field variations as studied by advanced experimental methods such as Small Angle Neutron Scattering (SANS) and in-field Mössbauer spectroscopy (IFMS) [7,8,9,10,11]

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