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Author: Jiadong Zang Publisher: Springer ISBN: 3319973347 Category : Science Languages : en Pages : 416
Book Description
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.
Author: Jiadong Zang Publisher: Springer ISBN: 3319973347 Category : Science Languages : en Pages : 416
Book Description
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.
Author: Terence William Barrett Publisher: World Scientific ISBN: 981447214X Category : Science Languages : en Pages : 196
Book Description
Topological Foundations of Electromagnetism seeks a fundamental understanding of the dynamics of electromagnetism; and marshals the evidence that in certain precisely defined topological conditions, electromagnetic theory (Maxwell's theory) must be extended or generalized in order to provide an explanation and understanding of, until now, unusual electromagnetic phenomena. Key to this generalization is an understanding of the circumstances under which the so-called A potential fields have physical effects. Basic to the approach taken is that the topological composition of electromagnetic fields is the fundamental conditioner of the dynamics of these fields. The treatment of electromagnetism from, first, a topological perspective, continuing through group theory and gauge theory, to a differential calculus description is a major thread of the book. Suggestions for potential new technologies based on this new understanding and approach to conditional electromagnetism are also given.
Author: Eugene Kamenetskii Publisher: Springer Nature ISBN: 3030628442 Category : Science Languages : en Pages : 587
Book Description
This book discusses theoretical and experimental advances in metamaterial structures, which are of fundamental importance to many applications in microwave and optical-wave physics and materials science. Metamaterial structures exhibit time-reversal and space-inversion symmetry breaking due to the effects of magnetism and chirality. The book addresses the characteristic properties of various symmetry breaking processes by studying field-matter interaction with use of conventional electromagnetic waves and novel types of engineered fields: twisted-photon fields, toroidal fields, and magnetoelectric fields. In a system with a combined effect of simultaneous breaking of space and time inversion symmetries, one observes the magnetochiral effect. Another similar phenomenon featuring space-time inversion symmetries is related to use of magnetoelectric materials. Cross-coupling of the electric and magnetic components in these material structures, leading to the appearance of new magnetic modes with an electric excitation channel – electromagnons and skyrmions – has resulted in a wealth of strong optical effects such as directional dichroism, magnetochiral dichroism, and rotatory power of the fields. This book contains multifaceted contributions from international leading experts and covers the essential aspects of symmetry-breaking effects, including theory, modeling and design, proven and potential applications in practical devices, fabrication, characterization and measurement. It is ideally suited as an introduction and basic reference work for researchers and graduate students entering this field.
Author: Firoza Kabir Publisher: ISBN: Category : Languages : en Pages : 126
Book Description
Topological insulators are insulators in the bulk but permit spin-polarized electrons to flow on their surface. Till date, non-magnetic topological materials have been extensively studied. However, due to the complex symmetries of magnetic crystals as well as theoretical and experimental difficulties associated with modeling and measuring quantum magnets, only a few magnetic materials have been explored so far. Therefore, by utilizing angle-resolved photoemission spectroscopy (ARPES), along with first-principles calculations, and magneto-transport measurements, we have chosen one doped and four intrinsic magnetic materials to study the interplay between magnetic order and nontrivial topology. First, we have observed a single topological non-trivial surface state in a spin-orbit-induced bulk bandgap magnetic material (Gd doped Sb2Te3), where the surface states are possibly associated with the 4f -electron magnetism of gadolinium. Our subsequent research has focused on an intrinsic magnetic quantum material, EuMg2Bi2, which reveals multiple Dirac states, with the Dirac nodes located at distinct binding energies. Next, we have investigated kagome-net magnets, due to the unusual lattice geometry and breaking of time-reversal symmetry, they can support diverse quantum magnetic phases. We have studied HoMn6Sn6 and ErMn6Sn6 kagome net magnets, which revealed large anomalous, topological Hall effects, and Dirac-like dispersions near the Fermi level indicating the existence of a Chern gapped Dirac cone. Finally, numerous fascinating topological phases of rare-earth monopnictide (REM) family led us to investigate the electronic structure of another REM magnetic topological material NdSb, which revealed significant band reconstruction due to the onset of an antiferromagnetic transition. Our results reveal a linear Dirac-like state at the zone center and two Dirac-like states at the zone corner of the Brillouin zone, indicating non-trivial topology in this material. Our detailed electronic structure study of these 4f magnetic materials could potentially provide a foundation for future research investigating the interaction between topology and magnetism.
Author: Paul W. Gross Publisher: Cambridge University Press ISBN: 9780521801607 Category : Mathematics Languages : en Pages : 296
Book Description
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.
Author: B. Andrei Bernevig Publisher: Princeton University Press ISBN: 1400846730 Category : Science Languages : en Pages : 264
Book Description
This graduate-level textbook is the first pedagogical synthesis of the field of topological insulators and superconductors, one of the most exciting areas of research in condensed matter physics. Presenting the latest developments, while providing all the calculations necessary for a self-contained and complete description of the discipline, it is ideal for graduate students and researchers preparing to work in this area, and it will be an essential reference both within and outside the classroom. The book begins with simple concepts such as Berry phases, Dirac fermions, Hall conductance and its link to topology, and the Hofstadter problem of lattice electrons in a magnetic field. It moves on to explain topological phases of matter such as Chern insulators, two- and three-dimensional topological insulators, and Majorana p-wave wires. Additionally, the book covers zero modes on vortices in topological superconductors, time-reversal topological superconductors, and topological responses/field theory and topological indices. The book also analyzes recent topics in condensed matter theory and concludes by surveying active subfields of research such as insulators with point-group symmetries and the stability of topological semimetals. Problems at the end of each chapter offer opportunities to test knowledge and engage with frontier research issues. Topological Insulators and Topological Superconductors will provide graduate students and researchers with the physical understanding and mathematical tools needed to embark on research in this rapidly evolving field.
Author: Giovanni Finocchio Publisher: Woodhead Publishing ISBN: 012820933X Category : Technology & Engineering Languages : en Pages : 472
Book Description
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
Author: Terence William Barrett Publisher: World Scientific ISBN: 9811253315 Category : Science Languages : en Pages : 376
Book Description
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.
Author: J. Ping Liu Publisher: CRC Press ISBN: 1315284154 Category : Science Languages : en Pages : 447
Book Description
"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.
Author: Nitish Mathur Publisher: ISBN: Category : Languages : en Pages : 0
Book Description
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.
Author: Jiadong Zang
Author: Jiadong Zang
Author: Terence William Barrett
Author: Eugene Kamenetskii
Author: Firoza Kabir
Author: Paul W. Gross
Author: B. Andrei Bernevig
Author: Giovanni Finocchio
Author: Terence William Barrett
Author: J. Ping Liu
Author: Nitish Mathur