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2021 | Buch

Thermal Stability of Metastable Magnetic Skyrmions

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The energy cost associated with modern information technologies has been increasing exponentially over time, stimulating the search for alternative information storage and processing devices. Magnetic skyrmions are solitonic nanometer-scale quasiparticles whose unique topological properties can be thought of as that of a Mobius strip. Skyrmions are envisioned as information carriers in novel information processing and storage devices with low power consumption and high information density. As such, they could contribute to solving the energy challenge.
In order to be used in applications, isolated skyrmions must be thermally stable at the scale of years. In this work, their stability is studied through two main approaches: the Kramers' method in the form of Langer's theory, and the forward flux sampling method. Good agreement is found between the two methods. We find that small skyrmions possess low internal energy barriers, but are stabilized by a large activation entropy. This is a direct consequence of the existence of stable modes of deformation of the skyrmion. Additionally, frustrated exchange that arises at some transition metal interfaces leads to new collapse paths in the form of the partial nucleation of the corresponding antiparticle, as merons and antimerons.

Inhaltsverzeichnis

Frontmatter
Chapter 1. Introduction
Abstract
In this chapter, we provide an in-depth introduction to the problem of magnetic skyrmion stability.
Louise Desplat
Chapter 2. Topological Solitons in Magnetic Systems
Abstract
In this chapter, we begin by introducing the different terms in the classical Hamiltonian model for ferromagnets in Sect. 2.1. In Sect. 2.2, we give some elements of theory for ferromagnetic domain walls, which we use to introduce the key notions of winding number and topology. Finally, in Sect. 2.3, we define magnetic skyrmions and present the different types of systems in which they can be stabilized.
Louise Desplat
Chapter 3. Langer’s Theory and Application to Magnetic Spin Systems
Abstract
In this chapter, we firstly give the scope of Langer’s theory and how it can be applied to magnetic spins systems in Sects. 3.2 and 3.3. In that context, we detail the calculation of the main contributions entering in the rate prefactor. We then describe the geodesic nudged elastic band (GNEB) method [11] in Sect. 3.4, which enables the numerical computation of a minimum energy path on the complex multivariable energy surface, and the precise identification of the first-order saddle point along the path. Finally, in Sect. 3.5, we give details of the numerical implementation of the different building blocks in Langer’s theory on the atomistic spin lattice.
Louise Desplat
Chapter 4. Thermal Stability of Chiral Magnetic Skyrmions from Langer’s Theory
Abstract
In what follows, we apply Langer’s theory adapted to magnetic spin systems to compute annihilation rates of chiral metastable magnetic skyrmions within the atomistic framework. The computation is carried out in two main steps. Firstly, the GNEB method is used to compute a minimum energy path through the energy landscape, and the saddle point is identified with high accuracy. Secondly, a rate prefactor is calculated according to Eq. (3.​31).
Louise Desplat
Chapter 5. Skyrmion Collapse Rate Computation via Forward Flux Sampling and Comparison with Langer’s Theory
Abstract
Generally speaking, the problem of annihilation rates of skyrmions pertains to the realm of rare events. That is, in a direct Langevin dynamics simulation, few—if any—annihilation events are observed. That is because the small timesteps [1] required to properly resolve the precessional dynamics of magnetic spin systems entails that direct simulations are, in practice, limited to a few hundred nanoseconds. Since skyrmions are required to be stable on the scale of ten years at room temperature for data storage applications, a better method than brute force simulations is required. In this chapter, we demonstrate the use of a path sampling method for the simulation of rare events, namely the forward flux sampling method, to compute collapse rates of magnetic skyrmions.
Louise Desplat
Chapter 6. Paths to Annihilation of First- and Second-Order (Anti)skyrmions Under Frustrated Exchange
Abstract
We look at paths to annihilation of first- and second-order skyrmions and antiskyrmions on the frustrated square lattice. Frustrated exchange has been found to arise from interface effects in certain systems where nanoscale interface skyrmions have been observed. We find that, in some regions of parameter space, the annihilation of skyrmionic solutions no longer occurs through an isotropic type of collapse, and instead involves the injection of the opposite topological charge into the system, by means of the nucleation of merons and antimerons. Alternatively, the second-order (anti)skyrmion may split into a bound (anti)skyrmion pair, which involves no change in the total topological charge. Lastly, the thermal stability of the skyrmionic solutions is discussed.
Louise Desplat
Chapter 7. Conclusion and Outlook
Abstract
This chapter firstly summarizes the main results of the thesis. After that, current and future research relevant to the problem of skyrmion stability are discussed.
Louise Desplat
Backmatter
Metadaten
Titel
Thermal Stability of Metastable Magnetic Skyrmions
verfasst von
Dr. Louise Desplat
Copyright-Jahr
2021
Electronic ISBN
978-3-030-66026-0
Print ISBN
978-3-030-66025-3
DOI
https://doi.org/10.1007/978-3-030-66026-0

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