Topological Quantum Materials

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Topological Quantum Materials

Grigory Tkachov
Topological Quantum Materials Book PDF

Author : Grigory Tkachov
Publisher : CRC Press
Page : 288 pages
File Size : 41,6 Mb
Release : 2022-08-18
Category : Science
ISBN : 9781000544008

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Topological Quantum Materials by Grigory Tkachov Pdf

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.

Introduction to Topological Quantum Matter & Quantum Computation

Tudor D. Stanescu
Introduction to Topological Quantum Matter Quantum Computation Book PDF

Author : Tudor D. Stanescu
Publisher : CRC Press
Page : 395 pages
File Size : 46,9 Mb
Release : 2016-12-19
Category : Science
ISBN : 9781482245943

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Introduction to Topological Quantum Matter & Quantum Computation by Tudor D. Stanescu Pdf

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.

Introduction to Topological Quantum Matter & Quantum Computation

Tudor D. Stanescu
Introduction to Topological Quantum Matter Quantum Computation Book PDF

Author : Tudor D. Stanescu
Publisher : CRC Press
Page : 353 pages
File Size : 41,9 Mb
Release : 2016-12-19
Category : Science
ISBN : 9781351722285

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Introduction to Topological Quantum Matter & Quantum Computation by Tudor D. Stanescu Pdf

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.

The Role of Topology in Materials

Sanju Gupta,Avadh Saxena
The Role of Topology in Materials Book PDF

Author : Sanju Gupta,Avadh Saxena
Publisher : Springer
Page : 297 pages
File Size : 40,7 Mb
Release : 2018-04-21
Category : Science
ISBN : 9783319765969

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The Role of Topology in Materials by Sanju Gupta,Avadh Saxena Pdf

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.

Quantum Theory of Materials

Efthimios Kaxiras,John D. Joannopoulos
Quantum Theory of Materials Book PDF

Author : Efthimios Kaxiras,John D. Joannopoulos
Publisher : Cambridge University Press
Page : 679 pages
File Size : 52,6 Mb
Release : 2019-06-06
Category : Science
ISBN : 9780521117111

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Quantum Theory of Materials by Efthimios Kaxiras,John D. Joannopoulos Pdf

An accessible overview of the concepts and tools essential to the physics of materials, with applications, exercises, and color figures.

Topology in Condensed Matter

Michael I. Monastyrsky
Topology in Condensed Matter Book PDF

Author : Michael I. Monastyrsky
Publisher : Springer Science & Business Media
Page : 263 pages
File Size : 51,9 Mb
Release : 2006-02-04
Category : Science
ISBN : 9783540312642

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Topology in Condensed Matter by Michael I. Monastyrsky Pdf

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.

A Short Course on Topological Insulators

János K. Asbóth,László Oroszlány,András Pályi Pályi
A Short Course on Topological Insulators Book PDF

Author : János K. Asbóth,László Oroszlány,András Pályi Pályi
Publisher : Springer
Page : 166 pages
File Size : 41,6 Mb
Release : 2016-02-22
Category : Science
ISBN : 9783319256078

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A Short Course on Topological Insulators by János K. Asbóth,László Oroszlány,András Pályi Pályi Pdf

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.

Topological Insulators

Shun-Qing Shen
Topological Insulators Book PDF

Author : Shun-Qing Shen
Publisher : Springer Science & Business Media
Page : 234 pages
File Size : 55,5 Mb
Release : 2013-01-11
Category : Technology & Engineering
ISBN : 9783642328589

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Topological Insulators by Shun-Qing Shen Pdf

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.

Topological Insulators

Gregory Tkachov
Topological Insulators Book PDF

Author : Gregory Tkachov
Publisher : CRC Press
Page : 182 pages
File Size : 50,6 Mb
Release : 2015-10-14
Category : Science
ISBN : 9789814613262

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Topological Insulators by Gregory Tkachov Pdf

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 carriers in these systems have Dirac-like nature and are protected by an intrinsic topological order, which is of great interest for both fundamental research and emerging technologies, especially in the fields of electronics, spintronics, and quantum information. The realization of the application potential of topological insulators requires a comprehensive and deep understanding of transport processes in these novel materials. This book explores the origin of the protected Dirac-like states in topological insulators and gives an insight into some of their representative transport properties. These include the quantum spin–Hall effect, nonlocal edge transport, backscattering of helical edge and surface states, weak antilocalization, unconventional triplet p-wave superconductivity, topological bound states, and emergent Majorana fermions in Josephson junctions as well as superconducting Klein tunneling.

Graphdiyne

Yuliang Li
Graphdiyne Book PDF

Author : Yuliang Li
Publisher : John Wiley & Sons
Page : 404 pages
File Size : 48,5 Mb
Release : 2022-01-10
Category : Technology & Engineering
ISBN : 9783527347872

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Graphdiyne by Yuliang Li Pdf

Graphdiyne Discover the most cutting-edge developments in the study of graphdiyne from a pioneer of the field In Graphdiyne: Fundamentals and Applications in Renewable Energy and Electronics, accomplished chemist Dr. Yuliang Li delivers a practical and insightful compilation of theoretical and experimental developments in the study of graphdiyne. Of interest to both academics and industrial researchers in the fields of nanoscience, organic chemistry, carbon science, and renewable energies, the book systematically summarizes recent research into the exciting new material. Discover information about the properties of graphdiyne through theoretical simulations and experimental characterizations, as well as the development of graphdiyne with appropriate preparation technology. Learn to create new graphdiyne-based materials and better understand its intrinsic properties. Find out about synthetic methodologies, the controlled growth of aggregated state structures, and structural characterization. In addition to demonstrating the interdisciplinary potential and relevance of graphdiyne, the book also offers readers: A thorough introduction to basic structure and band gap engineering, including molecular and electronic structure, mechanical properties, and the layers structure of bulk graphdiyne Explorations of Graphdiyne synthesis and characterization, including films, nanotube arrays and nanowires, nanowalls, and nanosheets, as well as characterization methods Discussions of the functionalization of graphdiyne, including heteroatom doping, metal decoration, and absorption of guest molecules Rigorous treatments of Graphdiyne-based materials in catalytic applications, including photo- and electrocatalysts Perfect for organic chemists, electronics engineers, materials scientists, and physicists, Graphdiyne: Fundamentals and Applications in Renewable Energy and Electronics will also find its place on the bookshelves of surface and solid-state chemists, electrochemists, and catalytic chemists seeking a one-stop reference on this rising-star carbon material.

Spin Dynamics in Two-Dimensional Quantum Materials

Marc Vila Tusell
Spin Dynamics in Two Dimensional Quantum Materials Book PDF

Author : Marc Vila Tusell
Publisher : Springer Nature
Page : 169 pages
File Size : 40,8 Mb
Release : 2021-11-10
Category : Technology & Engineering
ISBN : 9783030861148

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Spin Dynamics in Two-Dimensional Quantum Materials by Marc Vila Tusell Pdf

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.

Topological Phases of Matter

Roderich Moessner,Joel E. Moore
Topological Phases of Matter Book PDF

Author : Roderich Moessner,Joel E. Moore
Publisher : Cambridge University Press
Page : 393 pages
File Size : 46,6 Mb
Release : 2021-04-29
Category : Mathematics
ISBN : 9781107105539

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Topological Phases of Matter by Roderich Moessner,Joel E. Moore Pdf

This important graduate level text unites the physical mechanisms behind the phenomena of topological matter within a theoretical framework.

Introduction to Topological Quantum Computation

Jiannis K. Pachos
Introduction to Topological Quantum Computation Book PDF

Author : Jiannis K. Pachos
Publisher : Cambridge University Press
Page : 220 pages
File Size : 55,6 Mb
Release : 2012-04-12
Category : Computers
ISBN : 9781107005044

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Introduction to Topological Quantum Computation by Jiannis K. Pachos Pdf

Ideal for graduate students and researchers from various sub-disciplines, this book provides an excellent introduction to topological quantum computation.

Topological Matter

Dario Bercioux,Jérôme Cayssol,Maia G. Vergniory,M. Reyes Calvo
Topological Matter Book PDF

Author : Dario Bercioux,Jérôme Cayssol,Maia G. Vergniory,M. Reyes Calvo
Publisher : Springer
Page : 261 pages
File Size : 54,5 Mb
Release : 2018-10-03
Category : Technology & Engineering
ISBN : 9783319763880

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Topological Matter by Dario Bercioux,Jérôme Cayssol,Maia G. Vergniory,M. Reyes Calvo Pdf

This book covers basic and advanced aspects in the field of Topological Matter. The chapters are based on the lectures presented during the Topological Matter School 2017. It provides graduate level content introducing the basic concepts of the field, including an introductory session on group theory and topological classification of matter. Different topological phases such as Weyls semi-metals, Majoranas fermions and topological superconductivity are also covered. A review chapter on the major experimental achievements in the field is also provided. The book is suitable not only for master, graduate and young postdoctoral researchers, but also to senior scientists who want to acquaint themselves with the subject.

Topological Semimetals

David J. Fisher
Topological Semimetals Book PDF

Author : David J. Fisher
Publisher : Materials Research Forum LLC
Page : 164 pages
File Size : 43,6 Mb
Release : 2019-04-20
Category : Technology & Engineering
ISBN : 9781644900147

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Topological Semimetals by David J. Fisher Pdf

Topological semimetals are quantum materials that are not only extremely interesting from a theoretical point of view but also have a great potential for technological applications in which superconducting, semiconducting and other semimetal behaviors are involved. Keywords: Quantum Materials, Macroscopic Quantum Phenomena, Topological Semimetals, Dirac Semimetals, Weyl Semimetals, Nodal-Line Semimetals, Antimony and Antimonides, Antimonene, Arsenides, Bismuthides, Boron, Borides, Borophene, Carbon and Carbides, Chalcogenides, Nitrides, Phosphorus, Phosphides, Silicides, Topological Metals, Topological States of Matter.