Topological Quantum Materials

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Topological Quantum Materials

Author : Grigory Tkachov
Publisher : CRC Press
ISBN 13 : 1000544001
Total Pages : 288 pages
Book Rating : 4.0/5 (5 download)

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Book Synopsis Topological Quantum Materials by : Grigory Tkachov

Download or read book Topological Quantum Materials written by Grigory Tkachov and published by CRC Press. This book was released on 2022-08-18 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: In topological quantum materials, quantum effects emerge at macroscopic scales and are robust to continuous changes in a material’s state. This striking synergy between quantum and topological properties is of great interest for both fundamental research and emerging technologies, especially in the fields of electronics and quantum information. This edition of the book presents a wealth of topological quantum materials, bringing together burgeoning research from different areas: topological insulators, transition metal dichalcogenides, Weyl semimetals, and unconventional and topological superconductors. The realization of the application potential of topological quantum materials requires understanding their properties at a fundamental level. This brings us back to the discovery of topological phases of matter, which earned the Nobel Prize in Physics in 2016. This book explores the connection between pioneering work on topological phases of matter and a flurry of activity that followed. The topics covered include the quantum anomalous and spin Hall effects, emergent axion electrodynamics and topological magnetoelectric effects, Weyl nodes and surface Fermi arcs, weak antilocalization, induced triplet superconductivity, Majorana fermion modes, and the fractional Josephson effect.

The Role of Topology in Materials

Author : Sanju Gupta
Publisher : Springer
ISBN 13 : 3319765965
Total Pages : 307 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 307 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.

Topological Phases of Matter

Author : Roderich Moessner
Publisher : Cambridge University Press
ISBN 13 : 1107105536
Total Pages : 393 pages
Book Rating : 4.1/5 (71 download)

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Book Synopsis Topological Phases of Matter by : Roderich Moessner

Download or read book Topological Phases of Matter written by Roderich Moessner and published by Cambridge University Press. This book was released on 2021-04-29 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: This important graduate level text unites the physical mechanisms behind the phenomena of topological matter within a theoretical framework.

Quantum Theory of Materials

Author : Efthimios Kaxiras
Publisher : Cambridge University Press
ISBN 13 : 0521117119
Total Pages : 679 pages
Book Rating : 4.5/5 (211 download)

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Book Synopsis Quantum Theory of Materials by : Efthimios Kaxiras

Download or read book Quantum Theory of Materials written by Efthimios Kaxiras and published by Cambridge University Press. This book was released on 2019-06-06 with total page 679 pages. Available in PDF, EPUB and Kindle. Book excerpt: An accessible overview of the concepts and tools essential to the physics of materials, with applications, exercises, and color figures.

Topological Insulators

Author : Shun-Qing Shen
Publisher : Springer Science & Business Media
ISBN 13 : 364232858X
Total Pages : 234 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Topological Insulators by : Shun-Qing Shen

Download or read book Topological Insulators written by Shun-Qing Shen and published by Springer Science & Business Media. This book was released on 2013-01-11 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topological insulators are insulating in the bulk, but process metallic states present around its boundary owing to the topological origin of the band structure. The metallic edge or surface states are immune to weak disorder or impurities, and robust against the deformation of the system geometry. This book, the first of its kind on topological insulators, presents a unified description of topological insulators from one to three dimensions based on the modified Dirac equation. A series of solutions of the bound states near the boundary are derived, and the existing conditions of these solutions are described. Topological invariants and their applications to a variety of systems from one-dimensional polyacetalene, to two-dimensional quantum spin Hall effect and p-wave superconductors, and three-dimensional topological insulators and superconductors or superfluids are introduced, helping readers to better understand this fascinating new field. This book is intended for researchers and graduate students working in the field of topological insulators and related areas. Shun-Qing Shen is a Professor at the Department of Physics, the University of Hong Kong, China.

Introduction to Topological Quantum Computation

Author : Jiannis K. Pachos
Publisher : Cambridge University Press
ISBN 13 : 1139936689
Total Pages : 220 pages
Book Rating : 4.1/5 (399 download)

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Book Synopsis Introduction to Topological Quantum Computation by : Jiannis K. Pachos

Download or read book Introduction to Topological Quantum Computation written by Jiannis K. Pachos and published by Cambridge University Press. This book was released on 2012-04-12 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combining physics, mathematics and computer science, topological quantum computation is a rapidly expanding research area focused on the exploration of quantum evolutions that are immune to errors. In this book, the author presents a variety of different topics developed together for the first time, forming an excellent introduction to topological quantum computation. The makings of anyonic systems, their properties and their computational power are presented in a pedagogical way. Relevant calculations are fully explained, and numerous worked examples and exercises support and aid understanding. Special emphasis is given to the motivation and physical intuition behind every mathematical concept. Demystifying difficult topics by using accessible language, this book has broad appeal and is ideal for graduate students and researchers from various disciplines who want to get into this new and exciting research field.

Topological Quantum Numbers In Nonrelativistic Physics

Author : David Thouless
Publisher : World Scientific
ISBN 13 : 9814498033
Total Pages : 440 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Topological Quantum Numbers In Nonrelativistic Physics by : David Thouless

Download or read book Topological Quantum Numbers In Nonrelativistic Physics written by David Thouless and published by World Scientific. This book was released on 1998-03-12 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topological quantum numbers are distinguished from quantum numbers based on symmetry because they are insensitive to the imperfections of the systems in which they are observed. They have become very important in precision measurements in recent years, and provide the best measurements of voltage and electrical resistance. This book describes the theory of such quantum numbers, starting with Dirac's argument for the quantization of electric charge, and continuing with discussions on the helium superfluids, flux quantization and the Josephson effect in superconductors, the quantum Hall effect, solids and liquid crystals, and topological phase transitions. The accompanying reprints include some of the classic experimental and theoretical papers in this area.Physicists — both experimental and theoretical — who are interested in the topic will find this book an invaluable reference.

A Short Course on Topological Insulators

Author : János K. Asbóth
Publisher : Springer
ISBN 13 : 3319256076
Total Pages : 176 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis A Short Course on Topological Insulators by : János K. Asbóth

Download or read book A Short Course on Topological Insulators written by János K. Asbóth and published by Springer. This book was released on 2016-02-22 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Introduction to Topological Quantum Matter & Quantum Computation

Author : Tudor D. Stanescu
Publisher : CRC Press
ISBN 13 : 135172228X
Total Pages : 284 pages
Book Rating : 4.3/5 (517 download)

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Book Synopsis Introduction to Topological Quantum Matter & Quantum Computation by : Tudor D. Stanescu

Download or read book Introduction to Topological Quantum Matter & Quantum Computation written by Tudor D. Stanescu and published by CRC Press. This book was released on 2016-12-19 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: What is "topological" about topological quantum states? How many types of topological quantum phases are there? What is a zero-energy Majorana mode, how can it be realized in a solid state system, and how can it be used as a platform for topological quantum computation? What is quantum computation and what makes it different from classical computation? Addressing these and other related questions, Introduction to Topological Quantum Matter & Quantum Computation provides an introduction to and a synthesis of a fascinating and rapidly expanding research field emerging at the crossroads of condensed matter physics, mathematics, and computer science. Providing the big picture, this book is ideal for graduate students and researchers entering this field as it allows for the fruitful transfer of paradigms and ideas amongst different areas, and includes many specific examples to help the reader understand abstract and sometimes challenging concepts. It explores the topological quantum world beyond the well-known topological insulators and superconductors and emphasizes the deep connections with quantum computation. It addresses key principles behind the classification of topological quantum phases and relevant mathematical concepts and discusses models of interacting and noninteracting topological systems, such as the torric code and the p-wave superconductor. The book also covers the basic properties of anyons, and aspects concerning the realization of topological states in solid state structures and cold atom systems. Quantum computation is also presented using a broad perspective, which includes fundamental aspects of quantum mechanics, such as Bell's theorem, basic concepts in the theory of computation, such as computational models and computational complexity, examples of quantum algorithms, and elements of classical and quantum information theory.

Topology in Condensed Matter

Author : Michael I. Monastyrsky
Publisher : Springer Science & Business Media
ISBN 13 : 3540312641
Total Pages : 263 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Topology in Condensed Matter by : Michael I. Monastyrsky

Download or read book Topology in Condensed Matter written by Michael I. Monastyrsky and published by Springer Science & Business Media. This book was released on 2006-02-04 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Topological Insulators

Author : Gregory Tkachov
Publisher : CRC Press
ISBN 13 : 9814613266
Total Pages : 180 pages
Book Rating : 4.8/5 (146 download)

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Book Synopsis Topological Insulators by : Gregory Tkachov

Download or read book Topological Insulators written by Gregory Tkachov and published by CRC Press. This book was released on 2015-10-14 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the result of dynamic developments that have occurred in condensed matter physics after the recent discovery of a new class of electronic materials: topological insulators. A topological insulator is a material that behaves as a band insulator in its interior, while acting as a metallic conductor at its surface. The surface current car

Photoelectron Spectroscopy

Author : Stefan Hüfner
Publisher : Springer Science & Business Media
ISBN 13 : 3662031507
Total Pages : 525 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Photoelectron Spectroscopy by : Stefan Hüfner

Download or read book Photoelectron Spectroscopy written by Stefan Hüfner and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 525 pages. Available in PDF, EPUB and Kindle. Book excerpt: An up-to-date introduction to the field, treating in depth the electronic structures of atoms, molecules, solids and surfaces, together with brief descriptions of inverse photoemission, spin-polarized photoemission and photoelectron diffraction. Experimental aspects are considered throughout and the results carefully interpreted by theory. A wealth of measured data is presented in tabullar for easy use by experimentalists.

Topological Insulators and Topological Superconductors

Author : B. Andrei Bernevig
Publisher : Princeton University Press
ISBN 13 : 1400846730
Total Pages : 264 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Topological Insulators and Topological Superconductors by : B. Andrei Bernevig

Download or read book Topological Insulators and Topological Superconductors written by B. Andrei Bernevig and published by Princeton University Press. This book was released on 2013-04-07 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Spin Dynamics in Two-Dimensional Quantum Materials

Author : Marc Vila Tusell
Publisher : Springer Nature
ISBN 13 : 3030861147
Total Pages : 169 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Spin Dynamics in Two-Dimensional Quantum Materials by : Marc Vila Tusell

Download or read book Spin Dynamics in Two-Dimensional Quantum Materials written by Marc Vila Tusell and published by Springer Nature. This book was released on 2021-11-10 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis focuses on the exploration of nontrivial spin dynamics in graphene-based devices and topological materials, using realistic theoretical models and state-of-the-art quantum transport methodologies. The main outcomes of this work are: (i) the analysis of the crossover from diffusive to ballistic spin transport regimes in ultraclean graphene nonlocal devices, and (ii) investigation of spin transport and spin dynamics phenomena (such as the (quantum) spin Hall effect) in novel topological materials, such as monolayer Weyl semimetals WeTe2 and MoTe2. Indeed, the ballistic spin transport results are key for further interpretation of ultraclean spintronic devices, and will enable extracting precise values of spin diffusion lengths in diffusive transport and guide experiments in the (quasi)ballistic regime. Furthermore, the thesis provides an in-depth theoretical interpretation of puzzling huge measured efficiencies of the spin Hall effect in MoTe2, as well as a prediction of a novel canted quantum spin Hall effect in WTe2 with spins pointing in the yz plane.

Discovery of New Topological Quantum Materials by Photoemission

Author : Md Mofazzel Hosen
Publisher :
ISBN 13 :
Total Pages : 174 pages
Book Rating : 4.:/5 (124 download)

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Book Synopsis Discovery of New Topological Quantum Materials by Photoemission by : Md Mofazzel Hosen

Download or read book Discovery of New Topological Quantum Materials by Photoemission written by Md Mofazzel Hosen and published by . This book was released on 2020 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: Our study reveals the first magnetic nodal-line state in GdSbTe where combination of broken Tsymmetry and roto-inversion symmetry provides the topological protection. Similar to the Fermi arc in Weyl semimetal, drumhead surface state is known as the characteristic signature of TNLS. Using ARPES and quantum oscillation study, we discuss the first in-plane and clean drumhead surface state in SrAs3. Furthermore, all the above discussed topological states are observed in different materials. We discuss our ARPES and first-principles study to identify weak and strong topological insulator state along with a Dirac node arc in Hf2Te2P.

Photoemission Investigation of Topological Quantum Materials

Author : Klauss M. Dimitri
Publisher :
ISBN 13 :
Total Pages : 42 pages
Book Rating : 4.:/5 (128 download)

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Book Synopsis Photoemission Investigation of Topological Quantum Materials by : Klauss M. Dimitri

Download or read book Photoemission Investigation of Topological Quantum Materials written by Klauss M. Dimitri and published by . This book was released on 2021 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topological insulators (TIs) are a class of quantum materials, which behave as insulators in the bulk, yet possess gapless spin-polarized surface states, which are robust against nonmagnetic impurities. The unique properties of TIs make them attractive not only for studying various fundamental phenomena in condensed matter and particle physics, but also as promising candidates for applications ranging from spintronics to quantum computation. Within the topological insulator realm, a great deal of focus has been placed on discovering new quantum materials, however, ideal multi-modal quantum materials have yet to be found. Here we study [alpha]-PdBi2, KFe2Te2, and DySb compounds including others within these families with high-resolution angle-resolved photoemission spectroscopy (ARPES) complimented by first principles calculations. We observe unique phase changes and phenomena across their transition temperatures. Our work paves a new direction in material discovery and application related to their unique electronic properties.

Topological Quantum Computation

Author : Zhenghan Wang
Publisher : American Mathematical Soc.
ISBN 13 : 0821849301
Total Pages : 134 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Topological Quantum Computation by : Zhenghan Wang

Download or read book Topological Quantum Computation written by Zhenghan Wang and published by American Mathematical Soc.. This book was released on 2010 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topological quantum computation is a computational paradigm based on topological phases of matter, which are governed by topological quantum field theories. In this approach, information is stored in the lowest energy states of many-anyon systems and processed by braiding non-abelian anyons. The computational answer is accessed by bringing anyons together and observing the result. Besides its theoretical esthetic appeal, the practical merit of the topological approach lies in its error-minimizing hypothetical hardware: topological phases of matter are fault-avoiding or deaf to most local noises, and unitary gates are implemented with exponential accuracy. Experimental realizations are pursued in systems such as fractional quantum Hall liquids and topological insulators. This book expands on the author's CBMS lectures on knots and topological quantum computing and is intended as a primer for mathematically inclined graduate students. With an emphasis on introducing basic notions and current research, this book gives the first coherent account of the field, covering a wide range of topics: Temperley-Lieb-Jones theory, the quantum circuit model, ribbon fusion category theory, topological quantum field theory, anyon theory, additive approximation of the Jones polynomial, anyonic quantum computing models, and mathematical models of topological phases of matter.