Berry Phases In Electronic Structure Theory

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Berry Phases in Electronic Structure Theory

Author : David Vanderbilt
Publisher : Cambridge University Press
ISBN 13 : 1108661300
Total Pages : 395 pages
Book Rating : 4.1/5 (86 download)

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Book Synopsis Berry Phases in Electronic Structure Theory by : David Vanderbilt

Download or read book Berry Phases in Electronic Structure Theory written by David Vanderbilt and published by Cambridge University Press. This book was released on 2018-11-01 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the past twenty-five years, mathematical concepts associated with geometric phases have come to occupy a central place in our modern understanding of the physics of electrons in solids. These 'Berry phases' describe the global phase acquired by a quantum state as the Hamiltonian is changed. Beginning at an elementary level, this book provides a pedagogical introduction to the important role of Berry phases and curvatures, and outlines their great influence upon many key properties of electrons in solids, including electric polarization, anomalous Hall conductivity, and the nature of the topological insulating state. It focuses on drawing connections between physical concepts and provides a solid framework for their integration, enabling researchers and students to explore and develop links to related fields. Computational examples and exercises throughout provide an added dimension to the book, giving readers the opportunity to explore the central concepts in a practical and engaging way.

Berry Phases in Electronic Structure Theory

Author : David Vanderbilt
Publisher : Cambridge University Press
ISBN 13 : 110715765X
Total Pages : 395 pages
Book Rating : 4.1/5 (71 download)

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Book Synopsis Berry Phases in Electronic Structure Theory by : David Vanderbilt

Download or read book Berry Phases in Electronic Structure Theory written by David Vanderbilt and published by Cambridge University Press. This book was released on 2018-11 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to the role of Berry phases in our modern understanding of the physics of electrons in solids.

Electronic Structure

Author : Richard M. Martin
Publisher : Cambridge University Press
ISBN 13 : 9780521782852
Total Pages : 658 pages
Book Rating : 4.7/5 (828 download)

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Book Synopsis Electronic Structure by : Richard M. Martin

Download or read book Electronic Structure written by Richard M. Martin and published by Cambridge University Press. This book was released on 2004-04-08 with total page 658 pages. Available in PDF, EPUB and Kindle. Book excerpt: An important graduate textbook in condensed matter physics by highly regarded physicist.

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.

Electronic Structure

Author : Richard M. Martin
Publisher : Cambridge University Press
ISBN 13 : 1108657478
Total Pages : 791 pages
Book Rating : 4.1/5 (86 download)

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Book Synopsis Electronic Structure by : Richard M. Martin

Download or read book Electronic Structure written by Richard M. Martin and published by Cambridge University Press. This book was released on 2020-08-27 with total page 791 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of electronic structure of materials is at a momentous stage, with new computational methods and advances in basic theory. Many properties of materials can be determined from the fundamental equations, and electronic structure theory is now an integral part of research in physics, chemistry, materials science and other fields. This book provides a unified exposition of the theory and methods, with emphasis on understanding each essential component. New in the second edition are recent advances in density functional theory, an introduction to Berry phases and topological insulators explained in terms of elementary band theory, and many new examples of applications. Graduate students and research scientists will find careful explanations with references to original papers, pertinent reviews, and accessible books. Each chapter includes a short list of the most relevant works and exercises that reveal salient points and challenge the reader.

A Short Course on Topological Insulators

Author : János K. Asbóth
Publisher : Springer
ISBN 13 : 3319256076
Total Pages : 166 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 166 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.

The Butterfly in the Quantum World

Author : Indubala I Satija
Publisher : Morgan & Claypool Publishers
ISBN 13 : 1681741172
Total Pages : 350 pages
Book Rating : 4.6/5 (817 download)

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Book Synopsis The Butterfly in the Quantum World by : Indubala I Satija

Download or read book The Butterfly in the Quantum World written by Indubala I Satija and published by Morgan & Claypool Publishers. This book was released on 2016-09-06 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: Butterfly in the Quantum World by Indu Satija, with contributions by Douglas Hofstadter, is the first book ever to tell the story of the "Hofstadter butterfly", a beautiful and fascinating graph lying at the heart of the quantum theory of matter. The butterfly came out of a simple-sounding question: What happens if you immerse a crystal in a magnetic field? What energies can the electrons take on? From 1930 onwards, physicists struggled to answer this question, until 1974, when graduate student Douglas Hofstadter discovered that the answer was a graph consisting of nothing but copies of itself nested down infinitely many times. This wild mathematical object caught the physics world totally by surprise, and it continues to mesmerize physicists and mathematicians today. The butterfly plot is intimately related to many other important phenomena in number theory and physics, including Apollonian gaskets, the Foucault pendulum, quasicrystals, the quantum Hall effect, and many more. Its story reflects the magic, the mystery, and the simplicity of the laws of nature, and Indu Satija, in a wonderfully personal style, relates this story, enriching it with a vast number of lively historical anecdotes, many photographs, beautiful visual images, and even poems, making her book a great feast, for the eyes, for the mind and for the soul.

Modern Condensed Matter Physics

Author : Steven M. Girvin
Publisher : Cambridge University Press
ISBN 13 : 110713739X
Total Pages : 720 pages
Book Rating : 4.1/5 (71 download)

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Book Synopsis Modern Condensed Matter Physics by : Steven M. Girvin

Download or read book Modern Condensed Matter Physics written by Steven M. Girvin and published by Cambridge University Press. This book was released on 2019-02-28 with total page 720 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comprehensive and accessible coverage from the basics to advanced topics in modern quantum condensed matter physics.

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.

Physics of Ferroelectrics

Author : Karin M. Rabe
Publisher : Springer Science & Business Media
ISBN 13 : 3540345914
Total Pages : 395 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Physics of Ferroelectrics by : Karin M. Rabe

Download or read book Physics of Ferroelectrics written by Karin M. Rabe and published by Springer Science & Business Media. This book was released on 2007-07-20 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: The past two decades have witnessed revolutionary breakthroughs in the understanding of ferroelectric materials, both from the perspective of theory and experiment. This book addresses the paradigmatic shifts in understanding brought about by these breakthroughs, including the consideration of novel fabrication methods and nanoscale applications of these materials, and new theoretical methods such as the effective Hamiltonian approach and density functional theory.

Many-Body Quantum Theory in Condensed Matter Physics

Author : Henrik Bruus
Publisher : Oxford University Press
ISBN 13 : 0198566336
Total Pages : 458 pages
Book Rating : 4.1/5 (985 download)

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Book Synopsis Many-Body Quantum Theory in Condensed Matter Physics by : Henrik Bruus

Download or read book Many-Body Quantum Theory in Condensed Matter Physics written by Henrik Bruus and published by Oxford University Press. This book was released on 2004-09-02 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is an introduction to quantum field theory applied to condensed matter physics. The topics cover modern applications in electron systems and electronic properties of mesoscopic systems and nanosystems. The textbook is developed for a graduate or advanced undergraduate course with exercises which aim at giving students the ability to confront real problems.

Theory of Atomic and Molecular Clusters

Author : Julius Jellinek
Publisher : Springer Science & Business Media
ISBN 13 : 9783540620006
Total Pages : 444 pages
Book Rating : 4.6/5 (2 download)

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Book Synopsis Theory of Atomic and Molecular Clusters by : Julius Jellinek

Download or read book Theory of Atomic and Molecular Clusters written by Julius Jellinek and published by Springer Science & Business Media. This book was released on 1999 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book summarises contemporary knowledge about the theory of atomic and molecular clusters. New results are discussed on a high theoretical level. Access to this field of research is given by an explanation of the various subjects in introductory chapters.

Geometric Phases in Physics

Author : F Wilczek
Publisher : World Scientific
ISBN 13 : 981450758X
Total Pages : 528 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Geometric Phases in Physics by : F Wilczek

Download or read book Geometric Phases in Physics written by F Wilczek and published by World Scientific. This book was released on 1989-07-01 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the last few years, considerable interest has been focused on the phase that waves accumulate when the equations governing the waves vary slowly. The recent flurry of activity was set off by a paper by Michael Berry, where it was found that the adiabatic evolution of energy eigenfunctions in quantum mechanics contains a phase of geometric origin (now known as ‘Berry's phase’) in addition to the usual dynamical phase derived from Schrödinger's equation. This observation, though basically elementary, seems to be quite profound. Phases with similar mathematical origins have been identified and found to be important in a startling variety of physical contexts, ranging from nuclear magnetic resonance and low-Reynolds number hydrodynamics to quantum field theory. This volume is a collection of original papers and reprints, with commentary, on the subject. Contents:Introduction and OverviewAnticipationsFoundationsSome Applications and TestsFractional StatisticsQuantized Hall EffectWess-Zumino Terms and AnomaliesClassical SystemsAsymptotics Readership: Mathematical, high energy and condensed matter physicists.

Topological Insulators

Author : Gregory Tkachov
Publisher : CRC Press
ISBN 13 : 9814613266
Total Pages : 182 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 182 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 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.

Quantum Chemistry and Dynamics of Excited States

Author : Leticia González
Publisher : John Wiley & Sons
ISBN 13 : 1119417759
Total Pages : 52 pages
Book Rating : 4.1/5 (194 download)

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Book Synopsis Quantum Chemistry and Dynamics of Excited States by : Leticia González

Download or read book Quantum Chemistry and Dynamics of Excited States written by Leticia González and published by John Wiley & Sons. This book was released on 2021-02-01 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to the rapidly evolving methodology of electronic excited states For academic researchers, postdocs, graduate and undergraduate students, Quantum Chemistry and Dynamics of Excited States: Methods and Applications reports the most updated and accurate theoretical techniques to treat electronic excited states. From methods to deal with stationary calculations through time-dependent simulations of molecular systems, this book serves as a guide for beginners in the field and knowledge seekers alike. Taking into account the most recent theory developments and representative applications, it also covers the often-overlooked gap between theoretical and computational chemistry. An excellent reference for both researchers and students, Excited States provides essential knowledge on quantum chemistry, an in-depth overview of the latest developments, and theoretical techniques around the properties and nonadiabatic dynamics of chemical systems. Readers will learn: ● Essential theoretical techniques to describe the properties and dynamics of chemical systems ● Electronic Structure methods for stationary calculations ● Methods for electronic excited states from both a quantum chemical and time-dependent point of view ● A breakdown of the most recent developments in the past 30 years For those searching for a better understanding of excited states as they relate to chemistry, biochemistry, industrial chemistry, and beyond, Quantum Chemistry and Dynamics of Excited States provides a solid education in the necessary foundations and important theories of excited states in photochemistry and ultrafast phenomena.

Interacting Electrons

Author : Richard M. Martin
Publisher : Cambridge University Press
ISBN 13 : 1316558568
Total Pages : 843 pages
Book Rating : 4.3/5 (165 download)

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Book Synopsis Interacting Electrons by : Richard M. Martin

Download or read book Interacting Electrons written by Richard M. Martin and published by Cambridge University Press. This book was released on 2016-06-30 with total page 843 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent progress in the theory and computation of electronic structure is bringing an unprecedented level of capability for research. Many-body methods are becoming essential tools vital for quantitative calculations and understanding materials phenomena in physics, chemistry, materials science and other fields. This book provides a unified exposition of the most-used tools: many-body perturbation theory, dynamical mean field theory and quantum Monte Carlo simulations. Each topic is introduced with a less technical overview for a broad readership, followed by in-depth descriptions and mathematical formulation. Practical guidelines, illustrations and exercises are chosen to enable readers to appreciate the complementary approaches, their relationships, and the advantages and disadvantages of each method. This book is designed for graduate students and researchers who want to use and understand these advanced computational tools, get a broad overview, and acquire a basis for participating in new developments.

Planewaves, Pseudopotentials and the LAPW Method

Author : David J. Singh
Publisher : Springer Science & Business Media
ISBN 13 : 1475723121
Total Pages : 121 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Planewaves, Pseudopotentials and the LAPW Method by : David J. Singh

Download or read book Planewaves, Pseudopotentials and the LAPW Method written by David J. Singh and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 121 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the past decade the world's technological and industrial base has become increasingly dependent on advanced materials. There is every indication that this trend will accelerate and that progress in many areas will increasingly depend on the development of new materials and processing techniques. A second and equally significant trend is the continuing ascent of the information technologies, which now touch almost every aspect of life in some way. In this environment it is natural that there is a strong interest in using numerical modeling in materials science. With its extreme accuracy and reasonable computational efficiency, the linearized augmented plane wave (LAPW) method has emerged as the standard by which density functional calculations for transition metal and rare-earth containing materials are judged. Planewaves, Pseudopotentials and the LAPW Method presents a thorough and self-contained exposition of the LAPW method, making this powerful technique more accessible to researchers and students who have some familiarity with local density approximation calculations. Theory is discussed, but the emphasis is on how practical implementation proceeds. In addition, the author suggests future directions for adapting the LAPW method to simulations of complex materials requiring large unit cells. He does this by elucidating the connections between the LAPW method and planewave pseudopotential approaches and by showing how Car--Parrinello type algorithms can be adapted to the LAPW method. Planewaves, Pseudopotentials and the LAPW Method is a valuable resource for researchers already involved in electronic structure calculations, as well as for newcomers seeking quick mastery of the LAPW technique.