Topology In Magnetism

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Topology In Magnetism

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Author : Jiadong Zang
language : en
Publisher: Springer
Release Date : 2018-09-24

Topology In Magnetism written by Jiadong Zang and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-24 with Science categories.

This book presents both experimental and theoretical aspects of topology in magnetism. It first discusses how the topology in real space is relevant for a variety of magnetic spin structures, including domain walls, vortices, skyrmions, and dynamic excitations, and then focuses on the phenomena that are driven by distinct topology in reciprocal momentum space, such as anomalous and spin Hall effects, topological insulators, and Weyl semimetals. Lastly, it examines how topology influences dynamic phenomena and excitations (such as spin waves, magnons, localized dynamic solitons, and Majorana fermions). The book also shows how these developments promise to lead the transformative revolution of information technology.

Magnetism In Topological Insulators

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Author : Vladimir Litvinov
language : en
Publisher:
Release Date : 2020

Magnetism In Topological Insulators written by Vladimir Litvinov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020 with SCIENCE categories.

This book serves as a brief introduction to topological insulator physics and device applications. Particular attention is paid to the indirect exchange interaction mediated by near surface Dirac fermions and the spin texture this interaction favors. Along with useful information on semiconductor material systems, the book provides a theoretical background for most common concepts of TI physics. Readers will benefit from up to date information and methods needed to start working in TI physics, theory, experiment and device applications. Discusses inter-spin interaction via massless and massive Dirac excitations;Includes coverage of near-surface spin texture of the magnetic atoms as related to their mutual positions as well to their positions with respect to top and bottom surfaces in thin TI film;Describes non-RKKY oscillating inter-spin interaction as a signature of the topological state;Explains the origin of the giant Rashba interaction at quantum phase transition in TI-conventional semiconductors.

Topological Foundations Of Electromagnetism Second Edition

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Author : Terence William Barrett
language : en
Publisher: World Scientific
Release Date : 2022-05-30

Topological Foundations Of Electromagnetism Second Edition written by Terence William Barrett and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-30 with Science categories.

The aims of the book are: (1) to extend Maxwell theory to non-Abelian group forms; (2) to demonstrate that the foundations of electromagnetism are topological; (3) to show the multi-disciplinary nature of communications; (4) to demonstrate the effectiveness of modulated signals in penetrating media; (5) to demonstrate that geometric (Clifford) algebra is the appropriate algebra describing modulated signals.The book is important in indicating that the classical theory of electromagnetism, or Maxwell theory, can be developed to address situations and signals of differing symmetry form, and that different topological spaces require that development.

Skyrmions

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Author : J. Ping Liu
language : en
Publisher: CRC Press
Release Date : 2016-12-08

Skyrmions written by J. Ping Liu and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-12-08 with Science categories.

"The book reviews all the aspects of recent developments in research on skyrmions, from the presentation of the observation and characterization techniques to the description of physical properties and expected applications. It will be of great use for all scientists working in this field." – Albert Fert, 2007 Nobel Laureate in Physics (from the Foreword) A skyrmion is a tiny region of reversed magnetization – quasiparticles since they are not present except in a magnetic state, and also give rise to physics that cannot be described by Maxwell’s equations. These particles are fascinating subjects for theoretical and experimental studies. Moreover, as a new type of magnetic domain structure with special topological structures, skyrmions feature outstanding magnetic and transport properties and may well have applications in data storage and other advanced spintronic devices, as readers will see in this book. Chapters address the relationships between physical properties of condensed matter, such as the AB effect, Berry phase effect, quantum Hall effect, and topological insulators. Overall, it provides a timely introduction to the fundamental aspects and possible applications of magnetic skyrmions to an interdisciplinary audience from condensed matter physics, chemistry, and materials science.

Stability Transformation And Detection Of Topological Magnetic Spin Textures In Nanostructures

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Author : Nitish Mathur
language : en
Publisher:
Release Date : 2022

Stability Transformation And Detection Of Topological Magnetic Spin Textures In Nanostructures written by Nitish Mathur and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022 with categories.

Topology, a branch of mathematics that successfully describes several fundamental physical phenomena in the field of condensed matter physics. Understanding the role of topology plays in materials science has led to the development of several material platforms which come under the category of topological materials. The properties associated with the topological states in materials are robust against the continuous transformation and small perturbations that do not change topology. Hence, the research behind the exploration and utilization of topological materials in a goal specific application is currently advancing with a frantic pace.In magnetic materials, the marriage of topology and magnetism exists as a new form of magnetic ordering with whirlpool-like spin arrangements known as magnetic skyrmions. These topologically protected particle-like spin textures were first discovered a decade ago in non-centrosymmetric magnetic materials. Confining magnetic skyrmions in nanostructures leads to interesting fundamental insights on skyrmion stability and could provide convenient platforms for potential practical applications of skyrmions in information storage technology. In Chapter 1, I have introduced and summarized the recent advances on studying magnetic skyrmions in nanostructures of skyrmion hosting non-centrosymmetric materials (especially the cubic B20 materials) made via bottom-up synthesis or top-down fabrication methods. I further discussed various real space imaging (such as Lorentz transmission electron microscopy or electron holography) or physical property measurement (such as magneto-transport) techniques that have been used to observe and detect these exotic magnetic domains in both nanostructure and bulk samples, which have proven critical to fully understanding them. The morphology and dimensionality of skyrmion hosting materials in stabilizing isolated magnetic skyrmions in confined geometry and their benefits are critical for the implementation in magnetic memory applications. In Chapters 3 and 4, I have presented a comprehensive study of purely electrical detection methods corroborated with real space observation of magnetic skyrmions. This allows us to develop a complete toolkit to investigate stability, magnetic phase transformation and detection of magnetic skyrmion in confined geometries of nanostructures. With these investigations, we extend our understanding of the three-dimensional spin structure (known as skyrmion strings) in confined geometries of nanostructures. Magnetism mediated by symmetry breaking is ubiquitous in condensed matter systems as also depicted in case of non-centrosymmetric skyrmion hosts. Intrinsic crystal defects are often unavoidable during the growth processes of materials which break the local symmetry of the crystal in the vicinity of the defect site and could potentially influence the magnetic spin ordering. In Chapter 2, I have discussed the role of defects in controlling and manipulating the key fundamental properties in widely explored two-dimensional (2D) van der Waals (vdW) materials. Defect-tunable magnetism has not been studied in broad class of 2D magnetic van der Waals (vdW) materials. Furthermore, it might lead to an inaccurate interpretation of intrinsic magnetic ordering in 2D vdW magnets if the presence of crystal defects is not acknowledged with detailed structural characterization. In Chapter 5, I presented a study of defect-mediated ferromagnetism influenced by the presence of sulfur vacancy defects in strongly correlated 2D vdW antiferromagnet of NiPS3. These findings demonstrate the concept of tuning defect-mediated magnetic interactions to manipulate spin ordering in magnetic vdW materials. Interestingly, defects like dislocation in materials are distinguishable from other lattice imperfections as these are characterized by topological invariant known as Burgers vector and they fall under the category of topological defects. In Chapter 6, we have designed a first ever controlled vapor deposition method for the screw dislocation driven growth of layered vdW antiferromagnets, namely NiI2 and NiBr2. The presence of screw dislocation in magnetic vdW materials could allow the exploration of dislocation-spin interactions and magnetic spin structures that are governed by the principles of topology.

Electromagnetic Theory And Computation

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Author : Paul W. Gross
language : en
Publisher: Cambridge University Press
Release Date : 2004-06-14

Electromagnetic Theory And Computation written by Paul W. Gross and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-06-14 with Mathematics categories.

This book explores the connection between algebraic structures in topology and computational methods for 3-dimensional electric and magnetic field computation. The connection between topology and electromagnetism has been known since the 19th century, but there has been little exposition of its relevance to computational methods in modern topological language. This book is an effort to close that gap. It will be of interest to people working in finite element methods for electromagnetic computation and those who have an interest in numerical and industrial applications of algebraic topology.

Topology Collective Magnetization Dynahb

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Author : Yunshan Cao
language : en
Publisher: IOP ebooks
Release Date : 2023-01-31

Topology Collective Magnetization Dynahb written by Yunshan Cao and has been published by IOP ebooks this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-31 with Magnetization categories.

The book is a thorough exploration of the topological states in collective magnetization dynamics. It provides an overview of current progress of topological phases in structured classical magnetism and acts as an important reference for designing novel topological spintronic devices.

Chiral And Topological Nature Of Magnetic Skyrmions

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Author : Shilei Zhang
language : en
Publisher:
Release Date : 2018

Chiral And Topological Nature Of Magnetic Skyrmions written by Shilei Zhang and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with Magnetic materials categories.

This book focuses on the characterisation of the chiral and topological nature of magnetic skyrmions in noncentrosymmetric helimagnets. In these materials, the skyrmion lattice phase appears as a long-range-ordered, close-packed grid of nearly millimetre-level correlation length, while the size of a single skyrmion is 3-100 nm. This is a very challenging range of length scales (spanning 5 orders of magnitude from tens of nm to mm) for magnetic characterisation techniques, and, to date, extensive information on this fascinating, magnetically ordered state has remained elusive. In response, this work develops novel resonant elastic x-ray scattering (REXS) techniques, which allow the magnetic structure, including the long-range order and domain formation, as well as microscopic skyrmion parameters, to be measured across the full range of length scales. Most importantly, using circular dichroism in REXS, the internal structure of a given skyrmion, the topological winding number, and the skyrmion helicity angle can all be unambiguously determined. These new techniques are applicable to many materials systems, and allow us to retrieve information on modulated spin structures, multiferroic order, spin-density-waves, and other forms of topological magnetic order.

Magnetic Skyrmions And Their Applications

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Author : Giovanni Finocchio
language : en
Publisher: Woodhead Publishing
Release Date : 2021-06-03

Magnetic Skyrmions And Their Applications written by Giovanni Finocchio and has been published by Woodhead Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-03 with Technology & Engineering categories.

Magnetic skyrmions are particle-like objects described by localized solutions of non-linear partial differential equations. Up until a few decades ago, it was believed that magnetic skyrmions only existed in condensed matter as short-term excitations that would quickly collapse into linear singularities. The contrary was proven theoretically in 1989 and evidentially in 2009. It is now known that skyrmions can exist as long-living metastable configurations in low-symmetry condensed matter systems with broken mirror symmetry, increasing the potential applications possible. Magnetic Skyrmions and their Applications delves into the fundamental principles and most recent research and developments surrounding these unique magnetic particles. Despite achievements in the synthesis of systems stabilizing chiral magnetic skyrmions and the variety of experimental investigations and numerical calculations, there have not been many summaries of the fundamental physical principles governing magnetic skyrmions or integrating those concepts with methods of detection, characterization and potential applications. Magnetic Skyrmions and their Applications delivers a coherent, state-of-the-art discussion on the current knowledge and potential applications of magnetic skyrmions in magnetic materials and device applications. First the book reviews key concepts such as topology, magnetism and materials for magnetic skyrmions. Then, charactization methods, physical mechanisms, and emerging applications are discussed. Covers background knowledge and details the basic principles of magnetic skyrmions, including materials, characterization, statics and dynamics Reviews materials for skyrmion stabilization including bulk materials and interface-dominated multilayer materials Describes both well-known and unconventional applications of magnetic skyrmions, such as memristors and reservoir computing

Topological Foundations Of Electromagnetism

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Author :
language : en
Publisher:
Release Date :

Topological Foundations Of Electromagnetism written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.