Skyrmions in Condensed Matter

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Publisher : Springer
ISBN 13 : 3319692461
Total Pages : 177 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Skyrmions in Condensed Matter by : Jung Hoon Han

Download or read book Skyrmions in Condensed Matter written by Jung Hoon Han and published by Springer. This book was released on 2017-10-09 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book summarizes some of the most exciting theoretical developments in the topological phenomena of skyrmions in noncentrosymmetric magnetic systems over recent decades. After presenting pedagogical backgrounds to the Berry phase and homotopy theory, the author systematically discusses skyrmions in the order of their development, from the Ginzburg-Landau theory, CP1 theory, Landau-Lifshitz-Gilbert theory, and Monte Carlo numerical approaches. Modern topics, such as the skyrmion-electron interaction, skyrmion-magnon interaction, and various generation mechanisms of the skyrmion are examined with a focus on their general theoretical aspects. The book concludes with a chapter on the skyrmion phenomena in the cold atom context. The topics are presented at a level accessible to beginning graduate students without a substantial background in field theory. The book can also be used as a text for those who wish to engage in the physics of skyrmions in magnetic systems, or as an introduction to the various theoretical methods used in studying current condensed-matter systems.

Magnetic Skyrmions and Their Applications

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Publisher : Woodhead Publishing
ISBN 13 : 012820933X
Total Pages : 472 pages
Book Rating : 4.1/5 (282 download)

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Book Synopsis Magnetic Skyrmions and Their Applications by : Giovanni Finocchio

Download or read book Magnetic Skyrmions and Their Applications written by Giovanni Finocchio and published by Woodhead Publishing. This book was released on 2021-06-03 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Skyrmions in Magnetic Materials

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Author :
Publisher : Springer
ISBN 13 : 3319246518
Total Pages : 69 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Skyrmions in Magnetic Materials by : Shinichiro Seki

Download or read book Skyrmions in Magnetic Materials written by Shinichiro Seki and published by Springer. This book was released on 2015-11-19 with total page 69 pages. Available in PDF, EPUB and Kindle. Book excerpt: This brief reviews current research on magnetic skyrmions, with emphasis on formation mechanisms, observation techniques, and materials design strategies. The response of skyrmions, both static and dynamical, to various electromagnetic fields is also covered in detail. Recent progress in magnetic imaging techniques has enabled the observation of skyrmions in real space, as well as the analysis of their ordering manner and the details of their internal structure. In metallic systems, conduction electrons moving through the skyrmion spin texture gain a nontrivial quantum Berry phase, which provides topological force to the underlying spin texture and enables the current-induced manipulation of magnetic skyrmions. On the other hand, skyrmions in an insulator can induce electric polarization through relativistic spin-orbit interaction, paving the way for the control of skyrmions by an external electric field without loss of Joule heating. Because of its nanometric scale, particle nature, and electric controllability, skyrmions are considered as potential candidates for new information carriers in the next generation of spintronics devices.

Skyrmions

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Publisher : CRC Press
ISBN 13 : 1315284162
Total Pages : 502 pages
Book Rating : 4.3/5 (152 download)

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Book Synopsis Skyrmions by : J. Ping Liu

Download or read book Skyrmions written by J. Ping Liu and published by CRC Press. This book was released on 2016-12-08 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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.

Magnetic Skyrmions

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Author :
Publisher : BoD – Books on Demand
ISBN 13 : 1839692529
Total Pages : 150 pages
Book Rating : 4.8/5 (396 download)

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Book Synopsis Magnetic Skyrmions by : Dipti Ranjan Sahu

Download or read book Magnetic Skyrmions written by Dipti Ranjan Sahu and published by BoD – Books on Demand. This book was released on 2021-07-28 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: Magnetic skyrmionics is an advanced and active research field, which involves fundamental physics, the creation of efficient next-generation high-density information devices, the formation and manipulation of nanometer-size skyrmions in devices, and the development of compatible materials at room temperature. The magnetic skyrmions found in magnetic materials exhibit spiral magnetism. This book presents a basic overview of magnetic skyrmions along with current research on magnetic skyrmions, emphasizing formation mechanisms and materials design strategies. This book is suitable for an interdisciplinary audience of undergraduates, graduates, engineers, scientists, and researchers in the development of the next generation of spintronic devices.

Generation, Detection and Manipulation of Skyrmions in Magnetic Nanostructures

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Author :
Publisher : Frontiers Media SA
ISBN 13 : 283250065X
Total Pages : 89 pages
Book Rating : 4.8/5 (325 download)

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Book Synopsis Generation, Detection and Manipulation of Skyrmions in Magnetic Nanostructures by : Huaiyang Yuan

Download or read book Generation, Detection and Manipulation of Skyrmions in Magnetic Nanostructures written by Huaiyang Yuan and published by Frontiers Media SA. This book was released on 2022-09-23 with total page 89 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Thermal Stability of Metastable Magnetic Skyrmions

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Author :
Publisher : Springer Nature
ISBN 13 : 3030660265
Total Pages : 166 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Thermal Stability of Metastable Magnetic Skyrmions by : Louise Desplat

Download or read book Thermal Stability of Metastable Magnetic Skyrmions written by Louise Desplat and published by Springer Nature. This book was released on 2021-02-04 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Multifaceted Skyrmion

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Author :
Publisher : World Scientific
ISBN 13 : 9814280704
Total Pages : 460 pages
Book Rating : 4.8/5 (142 download)

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Book Synopsis The Multifaceted Skyrmion by : Gerald Edward Brown

Download or read book The Multifaceted Skyrmion written by Gerald Edward Brown and published by World Scientific. This book was released on 2010 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1. Skyrmions and nuclei / R.A. Battye, N.S. Manton and P.M. Sutcliffe -- 2. Electromagnetic form factors of the nucleon in chiral soliton models / G. Holzwarth -- 3. Exotic baryon resonances in the Skyrme model / D. Diakonov and V. Petrov -- 4. Heavy-quark skyrmions / N.N. Scoccola -- 5. Skyrmion approach to finite density and temperature / B.-Y. Park and V. Vento -- 6. Half-skyrmion hadronic matter at high density / H.K. Lee and M. Rho -- 7. Superqualitons : baryons in dense QCD / D.K. Hong -- 8. Rotational symmetry breaking in baby skyrme models / M. Karliner and I. Hen -- 9. Spin and isospin : exotic order in quantum hall ferromagnets / S.M. Girvin -- 10. Noncommutative skyrmions in quantum hall systems / Z.F. Ezawa and G. Tsitsishvili -- 11. Skyrmions and merons in bilayer quantum hall system / K. Moon -- 12. Spin and pseudospin textures in quantum hall systems / H.A. Fertig and L. Brey -- 13. Half-skyrmion theory for high-temperature superconductivity / T. Morinari -- 14. Deconfined quantum critical points / T. Senthil [und weitere] -- 15. Skyrmion and string theory / S. Sugimoto -- 16. Holographic baryons / P. Yi -- 17. The Cheshire cat principle from holography / H.B. Nielsen and I. Zahed -- 18. Baryon physics in a five-dimensional model of hadrons / A. Pomarol and A. Wulzer

Chiral and Topological Nature of Magnetic Skyrmions

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Author :
Publisher : Springer
ISBN 13 : 3319982524
Total Pages : 117 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Chiral and Topological Nature of Magnetic Skyrmions by : Shilei Zhang

Download or read book Chiral and Topological Nature of Magnetic Skyrmions written by Shilei Zhang and published by Springer. This book was released on 2018-08-27 with total page 117 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Multifaceted Skyrmion

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Publisher : World Scientific
ISBN 13 : 9814704423
Total Pages : 748 pages
Book Rating : 4.8/5 (147 download)

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Book Synopsis The Multifaceted Skyrmion by : Mannque Rho

Download or read book The Multifaceted Skyrmion written by Mannque Rho and published by World Scientific. This book was released on 2016-09-29 with total page 748 pages. Available in PDF, EPUB and Kindle. Book excerpt: ' This book presents, in the form of reviews by world''s leading physicists in wide-ranging fields in theoretical physics, the influence and prescience of Skyrme''s daring idea of 1960, originally conceived for nuclear physics, that fermions can arise from bosons via topological solitons, pervasively playing a powerful role in wide-ranging areas of physics, from nuclear/astrophysics, to particle physics, to string theory and to condensed matter physics. The skyrmion description, both from gauge theory and from gauge/gravity duality, offers solutions to some long-standing and extremely difficult problems at high baryonic density, inaccessible by QCD proper. It also offers explanations and makes startling predictions for fascinating new phenomena in condensed matter systems. In both cases, what is at the core is the topology although the phenomena are drastically different, even involving different spacetime dimensions. This second edition has been expanded with addition of new reviews and extensively updated to take into account the latest developments in the field. Contents:Hadrons and Nuclear Matter:Skyrmions and Nuclei (R A Battye, N S Manton and P M Sutcliffe)States of Carbon-12 in the Skyrme Model (P H C Lau and N S Manton)Electromagnetic Form Factors of the Nucleon in Chiral Soliton Models (G Holzwarth)Exotic Baryon Resonances in the Skyrme Model (D Diakonov and V Petrov)Heavy-Quark Skyrmions (N N Scoccola)Pentaquark Candidates P+c(4380) and P+c(4450) within the Soliton Picture of Baryons (N N Scoccola, D O Riska and M Rho)Skyrmion Approach to Finite Density and Temperature (B-Y Park and V Vento)Fractionized Skyrmions in Dense Compact-Star Matter (M Harada, Y-L Ma, H K Lee and M Rho)The Skyrme Model in the BPS Limit (C Adam, C Naya, J Sánchez-Guillén, R Vazquez and A Wereszczyński)Superqualitons: Baryons in Dense QCD (D K Hong)Condensed Matter:Rotational Symmetry Breaking in Baby Skyrme Models (M Karliner and I Hen)Emergent Gauge Fields and Their Nonperturbative Effects in Correlated Electrons (K-S Kim and A Tanaka)Spin and Isospin: Exotic Order in Quantum Hall Ferromanets (S M Girvin)Noncommutative Skyrmions in Quantum Hall Systems (Z F Ezawa and G Tsitsishvili)Meron-Pair Excitations in Bilayer Quantum Hall System (K Moon)Spin and Pseudospin Textures in Quantum Hall Systems (H A Fertig and L Brey)Half-Skyrmion Theory for High-Temperature Superconductivity (T Morinari)Deconfined Quantum Critical Points (T Senthil, A Vishwanath, L Balents, S Sachdev and M P A Fisher)Skyrmions in a Density-Wave State: A Mechanism for Chiral Superconductivity (S Chakravarty and C-H Hsu)String Theory:Skyrmion and String Theory (S Sugimoto)Holographic Baryons (P Yi)The Cheshire Cat Principle from Holography (H B Nielsen and I Zahed)Baryon Physics in a Five-Dimensional Model of Hadrons (A Pomarol and A Wulzer)Holographic Skyrmions (P M Sutcliffe)Holographic Baryons and Instanton Crystal (V Kaplunovsky, D Melnikov and J Sonnenschein) Readership: Research scientists in the fields of condensed matter physics, nuclear and particle physics, and string theory. '

Emerging Non-volatile Memory Technologies

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Publisher : Springer Nature
ISBN 13 : 9811569126
Total Pages : 439 pages
Book Rating : 4.8/5 (115 download)

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Book Synopsis Emerging Non-volatile Memory Technologies by : Wen Siang Lew

Download or read book Emerging Non-volatile Memory Technologies written by Wen Siang Lew and published by Springer Nature. This book was released on 2021-01-09 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a balanced and comprehensive guide to the core principles, fundamental properties, experimental approaches, and state-of-the-art applications of two major groups of emerging non-volatile memory technologies, i.e. spintronics-based devices as well as resistive switching devices, also known as Resistive Random Access Memory (RRAM). The first section presents different types of spintronic-based devices, i.e. magnetic tunnel junction (MTJ), domain wall, and skyrmion memory devices. This section describes how their developments have led to various promising applications, such as microwave oscillators, detectors, magnetic logic, and neuromorphic engineered systems. In the second half of the book, the underlying device physics supported by different experimental observations and modelling of RRAM devices are presented with memory array level implementation. An insight into RRAM desired properties as synaptic element in neuromorphic computing platforms from material and algorithms viewpoint is also discussed with specific example in automatic sound classification framework.

Topology in Magnetism

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Publisher : Springer
ISBN 13 : 3319973347
Total Pages : 416 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Topology in Magnetism by : Jiadong Zang

Download or read book Topology in Magnetism written by Jiadong Zang and published by Springer. This book was released on 2018-09-24 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Vortex Simulation and Identification

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Publisher : BoD – Books on Demand
ISBN 13 : 1837686408
Total Pages : 126 pages
Book Rating : 4.8/5 (376 download)

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Book Synopsis Vortex Simulation and Identification by : Chaoqun Liu

Download or read book Vortex Simulation and Identification written by Chaoqun Liu and published by BoD – Books on Demand. This book was released on 2024-01-24 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book includes six chapters covering new vortex theories, vortex identification methods, and vortex simulation and applications. Vortices are ubiquitous in the universe and include tornados, hurricanes, airplane tip vortices, polar vortices, and even star vortices in the galaxy. Vortices are also building blocks, muscles, and sinews of turbulent flows. This book is useful for researchers in hydrodynamics, aerodynamics, thermodynamics, oceanography, meteorology, metallurgy, civil engineering, astronomy, biology, and more. It is also useful for research on the generation, sustenance, modeling, and controlling of turbulence.

Skyrmions

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Publisher : CRC Press
ISBN 13 : 1315284154
Total Pages : 380 pages
Book Rating : 4.3/5 (152 download)

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Book Synopsis Skyrmions by : J. Ping Liu

Download or read book Skyrmions written by J. Ping Liu and published by CRC Press. This book was released on 2016-12-08 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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.

Spintronics

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110490633
Total Pages : 298 pages
Book Rating : 4.1/5 (14 download)

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Book Synopsis Spintronics by : Tomasz Blachowicz

Download or read book Spintronics written by Tomasz Blachowicz and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-05-06 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: Starting from quantum mechanical and condensed matter foundations, this book introduces into the necessary theory behind spin electronics (Spintronics). Equations of spin diffusion, -evolution and -tunelling are provided before an overview is given of simulation of spin transport at the atomic scale. Furthermore, applications are discussed with a focus on elementary spintronics devices such as spin valves, memory cells and hard disk heads.

Spintronics Handbook, Second Edition: Spin Transport and Magnetism

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Publisher : CRC Press
ISBN 13 : 042980525X
Total Pages : 555 pages
Book Rating : 4.4/5 (298 download)

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Book Synopsis Spintronics Handbook, Second Edition: Spin Transport and Magnetism by : Evgeny Y. Tsymbal

Download or read book Spintronics Handbook, Second Edition: Spin Transport and Magnetism written by Evgeny Y. Tsymbal and published by CRC Press. This book was released on 2019-06-26 with total page 555 pages. Available in PDF, EPUB and Kindle. Book excerpt: Spintronics Handbook, Second Edition offers an update on the single most comprehensive survey of the two intertwined fields of spintronics and magnetism, covering the diverse array of materials and structures, including silicon, organic semiconductors, carbon nanotubes, graphene, and engineered nanostructures. It focuses on seminal pioneering work, together with the latest in cutting-edge advances, notably extended discussion of two-dimensional materials beyond graphene, topological insulators, skyrmions, and molecular spintronics. The main sections cover physical phenomena, spin-dependent tunneling, control of spin and magnetism in semiconductors, and spin-based applications. Features: Presents the most comprehensive reference text for the overlapping fields of spintronics (spin transport) and magnetism. Covers the full spectrum of materials and structures, from silicon and organic semiconductors to carbon nanotubes, graphene, and engineered nanostructures. Extends coverage of two-dimensional materials beyond graphene, including molybdenum disulfide and study of their spin relaxation mechanisms Includes new dedicated chapters on cutting-edge topics such as spin-orbit torques, topological insulators, half metals, complex oxide materials and skyrmions. Discusses important emerging areas of spintronics with superconductors, spin-wave spintronics, benchmarking of spintronics devices, and theory and experimental approaches to molecular spintronics. Evgeny Tsymbal's research is focused on computational materials science aiming at the understanding of fundamental properties of advanced ferromagnetic and ferroelectric nanostructures and materials relevant to nanoelectronics and spintronics. He is a George Holmes University Distinguished Professor at the Department of Physics and Astronomy of the University of Nebraska-Lincoln (UNL), Director of the UNL’s Materials Research Science and Engineering Center (MRSEC), and Director of the multi-institutional Center for NanoFerroic Devices (CNFD). Igor Žutić received his Ph.D. in theoretical physics at the University of Minnesota. His work spans a range of topics from high-temperature superconductors and ferromagnetism that can get stronger as the temperature is increased, to prediction of various spin-based devices. He is a recipient of 2006 National Science Foundation CAREER Award, 2005 National Research Council/American Society for Engineering Education Postdoctoral Research Award, and the National Research Council Fellowship (2003-2005). His research is supported by the National Science Foundation, the Office of Naval Research, the Department of Energy, and the Airforce Office of Scientific Research.

The Role of Topology in Materials

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Author :
Publisher : Springer
ISBN 13 : 3319765965
Total Pages : 297 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis The Role of Topology in Materials by : Sanju Gupta

Download or read book The Role of Topology in Materials written by Sanju Gupta and published by Springer. This book was released on 2018-04-21 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the most important advances in the class of topological materials and discusses the topological characterization, modeling and metrology of materials. Further, it addresses currently emerging characterization techniques such as optical and acoustic, vibrational spectroscopy (Brillouin, infrared, Raman), electronic, magnetic, fluorescence correlation imaging, laser lithography, small angle X-ray and neutron scattering and other techniques, including site-selective nanoprobes. The book analyzes the topological aspects to identify and quantify these effects in terms of topology metrics. The topological materials are ubiquitous and range from (i) de novo nanoscale allotropes of carbons in various forms such as nanotubes, nanorings, nanohorns, nanowalls, peapods, graphene, etc. to (ii) metallo-organic frameworks, (iii) helical gold nanotubes, (iv) Möbius conjugated polymers, (v) block co-polymers, (vi) supramolecular assemblies, to (vii) a variety of biological and soft-matter systems, e.g. foams and cellular materials, vesicles of different shapes and genera, biomimetic membranes, and filaments, (viii) topological insulators and topological superconductors, (ix) a variety of Dirac materials including Dirac and Weyl semimetals, as well as (x) knots and network structures. Topological databases and algorithms to model such materials have been also established in this book. In order to understand and properly characterize these important emergent materials, it is necessary to go far beyond the traditional paradigm of microscopic structure–property–function relationships to a paradigm that explicitly incorporates topological aspects from the outset to characterize and/or predict the physical properties and currently untapped functionalities of these advanced materials. Simulation and modeling tools including quantum chemistry, molecular dynamics, 3D visualization and tomography are also indispensable. These concepts have found applications in condensed matter physics, materials science and engineering, physical chemistry and biophysics, and the various topics covered in the book have potential applications in connection with novel synthesis techniques, sensing and catalysis. As such, the book offers a unique resource for graduate students and researchers alike.