The Role Of Topology In Materials
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The Role Of Topology In Materials
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Author : Sanju Gupta
language : en
Publisher: Springer
Release Date : 2018-04-21
The Role Of Topology In Materials written by Sanju Gupta and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-04-21 with Science categories.
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.
The Role Of Topology In Materials
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Author : Sanju Gupta
language : en
Publisher:
Release Date : 2018
The Role Of Topology In Materials written by Sanju Gupta and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with Materials science categories.
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.
The Role Of Topology In Classical And Quantum Physics
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Author : Giuseppe Morandi
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-09-11
The Role Of Topology In Classical And Quantum Physics written by Giuseppe Morandi and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-09-11 with Science categories.
In solid-state physics especially topological techniques have turned out to be extremely useful for modelling and explaining physical properties of matter. This book illustrates various applications of algebraic topology in classical field theory (non-linear sigma-models) and in quantizationsin multiply connected spaces (anyons). It treats Chern-Simon Lagrangians, Berry's phase, the polarization of light and the fractional quantum Hall effect.
Spin Dependent Phenomena In Topological And Two Dimensional Materials
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Author : Wilson Jonathan Yanez Parreno
language : en
Publisher:
Release Date : 2023
Spin Dependent Phenomena In Topological And Two Dimensional Materials written by Wilson Jonathan Yanez Parreno and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023 with categories.
One of the biggest discoveries in condensed matter physics in the last couple of decades is the relationship between topology and condensed matter physics. On one hand, topology is a branch of mathematics that studies the basic properties of shapes and their spatial relations. On the other hand, condensed matter physics uses quantum mechanics to understand the macroscopic and microscopic behavior of solids. It turns out that these two seemingly different fields of knowledge are intertwined and deeply connected. This makes, the effort of understanding the consequences of topology in condensed matter systems a worthy scientific endeavor that will deepen our understanding of the basic properties of solids and might impact the future of technology in different applications. In this dissertation, we study the role of spin in the macroscopic behavior of novel families of topological quantum materials. We part ways from well-studied topological insulators and turn our attention to topological Dirac and Weyl semimetals. This work focuses on archetypal members of these families of materials namely: Cd3As2, TaAs and NbAs. We establish their synthesis in thin film form using molecular beam epitaxy (MBE) in common semiconductor substrates (GaAs, GaSb). We combine them with the soft ferromagnet, permalloy (Ni0.80Fe0.20), and use well established techniques such as spin torque ferromagnetic resonance (ST-FMR) and spin pumping (SP) to show that spin dependent phenomena plays an important role in these systems. This allows us to quantify the efficiency of the charge-spin interconversion in these materials, which together with electrical transport measurements allow us to estimate their spin Hall conductivity ([sigma]SH). These values are then compared with first principles calculations with a good qualitative and quantitative agreement. One of our main findings is that natural surface oxidation of these compounds plays a major role in spin transport and can enhance the charge-spin interconversion efficiency. With this knowledge, we take some members of these families of materials to the ultrathin regime. We have interfaced a Dirac semimetal (ZrTe2) with a two-dimensional magnet (CrTe2) and made a proof of concept device which shows that the spin of electrons in the Dirac semimetal can be controlled by electrical means and can be used to switch the magnetization direction of the ferromagnet, effectively making a quasi two-dimensional memory with topological materials. This motivated us to do similar experiments and study the behavior of spin in metals (Pb) once they are taken to the two-dimensional regime. This dissertation studies topology, spin transport and ferromagnetism in Dirac and Weyl semimetals, two-dimensional metals and two-dimensional ferromagnets.
Topology In Condensed Matter
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Author : Michael I. Monastyrsky
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-02-04
Topology In Condensed Matter written by Michael I. Monastyrsky and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-02-04 with Science categories.
This book reports new results in condensed matter physics for which topological methods and ideas are important. It considers, on the one hand, recently discovered systems such as carbon nanocrystals and, on the other hand, new topological methods used to describe more traditional systems such as the Fermi surfaces of normal metals, liquid crystals and quasicrystals. The authors of the book are renowned specialists in their fields and present the results of ongoing research, some of it obtained only very recently and not yet published in monograph form.
Topology Of Polymers
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Author : Koya Shimokawa
language : en
Publisher: Springer Nature
Release Date : 2019-12-06
Topology Of Polymers written by Koya Shimokawa and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-12-06 with Mathematics categories.
Plastics, films, and synthetic fibers are among typical examples of polymer materials fabricated industrially in massive quantities as the basis of modern social life. By comparison, polymers from biological resources, including proteins, DNAs, and cotton fibers, are essential in various processes in living systems. Such polymers are molecular substances, constituted by the linking of hundreds to tens of thousands of small chemical unit (monomer) components. Thus, the form of polymer molecules is frequently expressed by line geometries, and their linear and non-linear forms are believed to constitute the fundamental basis for their properties and functions. In the field of polymer chemistry and polymer materials science, the choice of macromolecules has continuously been extended from linear or randomly branched forms toward a variety of precisely controlled topologies by the introduction of intriguing synthetic techniques. Moreover, during the first decade of this century, a number of impressive breakthroughs have been achieved to produce an important class of polymers having a variety of cyclic and multicyclic topologies. These developments now offer unique opportunities in polymer materials design to create unique properties and functions based on the form, i.e., topology, of polymer molecules. The introduction and application of topological geometry (soft geometry) to polymer molecules is a crucial requirement to account for the basic geometrical properties of polymer chains uniquely flexible in nature, in contrast to small chemical compounds conceived upon Euclidian geometry (hard geometry) principles. Topological geometry and graph theory are introduced for the systematic classification and notation of the non-linear constructions of polymer molecules, including not only branched but also single cyclic and multicyclic polymer topologies. On that basis, the geometrical–topological relationship between different polymers having distinctive constructions is discussed. A unique conception of topological isomerism is thus formed, which contrasts with that of conventional constitutional and stereoisomerism occurring in small chemical compounds. Through the close collaboration of topology experts Shimokawa and Ishihara and the polymer chemist Tezuka, this monograph covers the fundamentals and selected current topics of topology applied in polymers and topological polymer chemistry. In particular, the aim is to provide novel insights jointly revealed through a unique interaction between mathematics (topology) and polymer materials science.
A Short Course On Topological Insulators
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Author : János K. Asbóth
language : en
Publisher: Springer
Release Date : 2016-02-22
A Short Course On Topological Insulators written by János K. Asbóth and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-02-22 with Science categories.
This course-based primer provides newcomers to the field with a concise introduction to some of the core topics in the emerging field of topological insulators. The aim is to provide a basic understanding of edge states, bulk topological invariants, and of the bulk--boundary correspondence with as simple mathematical tools as possible. The present approach uses noninteracting lattice models of topological insulators, building gradually on these to arrive from the simplest one-dimensional case (the Su-Schrieffer-Heeger model for polyacetylene) to two-dimensional time-reversal invariant topological insulators (the Bernevig-Hughes-Zhang model for HgTe). In each case the discussion of simple toy models is followed by the formulation of the general arguments regarding topological insulators. The only prerequisite for the reader is a working knowledge in quantum mechanics, the relevant solid state physics background is provided as part of this self-contained text, which is complemented by end-of-chapter problems.
Advanced Topological Insulators
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Author : Huixia Luo
language : en
Publisher: John Wiley & Sons
Release Date : 2019-03-12
Advanced Topological Insulators written by Huixia Luo and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-12 with Technology & Engineering categories.
This book 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 researchers and graduate students preparing to work in this area, and it will be an essential reference both within and outside the classroom. The book begins with the fundamental description on the topological phases of matter such as one, two- and three-dimensional topological insulators, and methods and tools for topological material's investigations, topological insulators for advanced optoelectronic devices, topological superconductors, saturable absorber and in plasmonic devices. Advanced Topological Insulators provides researchers and graduate students with the physical understanding and mathematical tools needed to embark on research in this rapidly evolving field.
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.
Topological Insulators And Topological Superconductors
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Author : B. Andrei Bernevig
language : en
Publisher: Princeton University Press
Release Date : 2013-04-07
Topological Insulators And Topological Superconductors written by B. Andrei Bernevig and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-07 with Science categories.
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.