Electron Scattering Theory for Ordered and Disordered Matter

Electron Scattering Theory for Ordered and Disordered Matter

Author: Peter Weinberger

Publisher:

Published: 1990

Total Pages: 264

ISBN-13:

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This new text approaches the problem of the electronic structure of solid matter in terms of multiple scattering theory. It includes a short review of local density functional theories, taking the reader step-by-step through the properties of Schrodinger and Dirac Hamiltonians for a central field, and resolvents and Green functions. Ordered and disordered systems are considered, along with non-relativistic and relativistic schemes. Also discussed are the direct applications of multiple scattering to important aspects of materials science such as band structure spectography, Fermi energy related properties, and the present understanding of magnetic systems. An ideal resource for solid state physicists and materials scientists, this work may also serve as a text for graduate-level students.


Book Synopsis Electron Scattering Theory for Ordered and Disordered Matter by : Peter Weinberger

Download or read book Electron Scattering Theory for Ordered and Disordered Matter written by Peter Weinberger and published by . This book was released on 1990 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new text approaches the problem of the electronic structure of solid matter in terms of multiple scattering theory. It includes a short review of local density functional theories, taking the reader step-by-step through the properties of Schrodinger and Dirac Hamiltonians for a central field, and resolvents and Green functions. Ordered and disordered systems are considered, along with non-relativistic and relativistic schemes. Also discussed are the direct applications of multiple scattering to important aspects of materials science such as band structure spectography, Fermi energy related properties, and the present understanding of magnetic systems. An ideal resource for solid state physicists and materials scientists, this work may also serve as a text for graduate-level students.

Electron Scattering in Solid Matter

Electron Scattering in Solid Matter

Author: Jan Zabloudil

Publisher: Springer Science & Business Media

Published: 2005-12-12

Total Pages: 386

ISBN-13: 3540270019

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Addressing graduate students and researchers, this book gives a very detailed theoretical and computational description of multiple scattering in solid matter. Particular emphasis is placed on solids with reduced dimensions, on full potential approaches and on relativistic treatments. For the first time approaches such as the screened Korringa-Kohn-Rostoker method are reviewed, considering all formal steps such as single-site scattering, structure constants and screening transformations, and also the numerical point of view. Furthermore, a very general approach is presented for solving the Poisson equation, needed within density functional theory in order to achieve self-consistency. Special chapters are devoted to the Coherent Potential Approximation and to the Embedded Cluster Method, used, for example, for describing nanostructured matter in real space. In a final chapter, physical properties related to the (single-particle) Green's function, such as magnetic anisotropies, interlayer exchange coupling, electric and magneto-optical transport and spin-waves, serve to illustrate the usefulness of the methods described.


Book Synopsis Electron Scattering in Solid Matter by : Jan Zabloudil

Download or read book Electron Scattering in Solid Matter written by Jan Zabloudil and published by Springer Science & Business Media. This book was released on 2005-12-12 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: Addressing graduate students and researchers, this book gives a very detailed theoretical and computational description of multiple scattering in solid matter. Particular emphasis is placed on solids with reduced dimensions, on full potential approaches and on relativistic treatments. For the first time approaches such as the screened Korringa-Kohn-Rostoker method are reviewed, considering all formal steps such as single-site scattering, structure constants and screening transformations, and also the numerical point of view. Furthermore, a very general approach is presented for solving the Poisson equation, needed within density functional theory in order to achieve self-consistency. Special chapters are devoted to the Coherent Potential Approximation and to the Embedded Cluster Method, used, for example, for describing nanostructured matter in real space. In a final chapter, physical properties related to the (single-particle) Green's function, such as magnetic anisotropies, interlayer exchange coupling, electric and magneto-optical transport and spin-waves, serve to illustrate the usefulness of the methods described.

Multiple Scattering Theory for Spectroscopies

Multiple Scattering Theory for Spectroscopies

Author: Didier Sébilleau

Publisher: Springer

Published: 2018-04-05

Total Pages: 401

ISBN-13: 3319738119

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This edited book, based on material presented at the EU Spec Training School on Multiple Scattering Codes and the following MSNano Conference, is divided into two distinct parts. The first part, subtitled “basic knowledge”, provides the basics of the multiple scattering description in spectroscopies, enabling readers to understand the physics behind the various multiple scattering codes available for modelling spectroscopies. The second part, “extended knowledge”, presents “state- of-the-art” short chapters on specific subjects associated with improving of the actual description of spectroscopies within the multiple scattering formalism, such as inelastic processes, or precise examples of modelling.


Book Synopsis Multiple Scattering Theory for Spectroscopies by : Didier Sébilleau

Download or read book Multiple Scattering Theory for Spectroscopies written by Didier Sébilleau and published by Springer. This book was released on 2018-04-05 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited book, based on material presented at the EU Spec Training School on Multiple Scattering Codes and the following MSNano Conference, is divided into two distinct parts. The first part, subtitled “basic knowledge”, provides the basics of the multiple scattering description in spectroscopies, enabling readers to understand the physics behind the various multiple scattering codes available for modelling spectroscopies. The second part, “extended knowledge”, presents “state- of-the-art” short chapters on specific subjects associated with improving of the actual description of spectroscopies within the multiple scattering formalism, such as inelastic processes, or precise examples of modelling.

Electronic Structure of Disordered Alloys, Surfaces and Interfaces

Electronic Structure of Disordered Alloys, Surfaces and Interfaces

Author: Ilja Turek

Publisher: Springer Science & Business Media

Published: 2013-11-27

Total Pages: 327

ISBN-13: 1461562554

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At present, there is an increasing interest in the prediction of properties of classical and new materials such as substitutional alloys, their surfaces, and metallic or semiconductor multilayers. A detailed understanding based on a thus of the utmost importance for fu microscopic, parameter-free approach is ture developments in solid state physics and materials science. The interrela tion between electronic and structural properties at surfaces plays a key role for a microscopic understanding of phenomena as diverse as catalysis, corrosion, chemisorption and crystal growth. Remarkable progress has been made in the past 10-15 years in the understand ing of behavior of ideal crystals and their surfaces by relating their properties to the underlying electronic structure as determined from the first principles. Similar studies of complex systems like imperfect surfaces, interfaces, and mul tilayered structures seem to be accessible by now. Conventional band-structure methods, however, are of limited use because they require an excessive number of atoms per elementary cell, and are not able to account fully for e.g. substitu tional disorder and the true semiinfinite geometry of surfaces. Such problems can be solved more appropriately by Green function techniques and multiple scattering formalism.


Book Synopsis Electronic Structure of Disordered Alloys, Surfaces and Interfaces by : Ilja Turek

Download or read book Electronic Structure of Disordered Alloys, Surfaces and Interfaces written by Ilja Turek and published by Springer Science & Business Media. This book was released on 2013-11-27 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: At present, there is an increasing interest in the prediction of properties of classical and new materials such as substitutional alloys, their surfaces, and metallic or semiconductor multilayers. A detailed understanding based on a thus of the utmost importance for fu microscopic, parameter-free approach is ture developments in solid state physics and materials science. The interrela tion between electronic and structural properties at surfaces plays a key role for a microscopic understanding of phenomena as diverse as catalysis, corrosion, chemisorption and crystal growth. Remarkable progress has been made in the past 10-15 years in the understand ing of behavior of ideal crystals and their surfaces by relating their properties to the underlying electronic structure as determined from the first principles. Similar studies of complex systems like imperfect surfaces, interfaces, and mul tilayered structures seem to be accessible by now. Conventional band-structure methods, however, are of limited use because they require an excessive number of atoms per elementary cell, and are not able to account fully for e.g. substitu tional disorder and the true semiinfinite geometry of surfaces. Such problems can be solved more appropriately by Green function techniques and multiple scattering formalism.

Magnetic Anisotropies in Nanostructured Matter

Magnetic Anisotropies in Nanostructured Matter

Author: Peter Weinberger

Publisher: CRC Press

Published: 2008-12-17

Total Pages: 326

ISBN-13: 1420072668

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One of the Top Selling Physics Books according to YBP Library ServicesMagnetic Anisotropies in Nanostructured Matter presents a compact summary of all the theoretical means to describe magnetic anisotropies and interlayer exchange coupling in nanosystems. The applications include free and capped magnetic surfaces, magnetic atoms on metallic substra


Book Synopsis Magnetic Anisotropies in Nanostructured Matter by : Peter Weinberger

Download or read book Magnetic Anisotropies in Nanostructured Matter written by Peter Weinberger and published by CRC Press. This book was released on 2008-12-17 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the Top Selling Physics Books according to YBP Library ServicesMagnetic Anisotropies in Nanostructured Matter presents a compact summary of all the theoretical means to describe magnetic anisotropies and interlayer exchange coupling in nanosystems. The applications include free and capped magnetic surfaces, magnetic atoms on metallic substra

Ordering and Disordering in Alloys

Ordering and Disordering in Alloys

Author: A.R. Yavari

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 524

ISBN-13: 9401128863

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Proceedings of the European Workshop on Ordering and Disordering held in Grenoble, France, 10-12 July 1991.


Book Synopsis Ordering and Disordering in Alloys by : A.R. Yavari

Download or read book Ordering and Disordering in Alloys written by A.R. Yavari and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the European Workshop on Ordering and Disordering held in Grenoble, France, 10-12 July 1991.

Group Theory in Solid State Physics and Photonics

Group Theory in Solid State Physics and Photonics

Author: Wolfram Hergert

Publisher: John Wiley & Sons

Published: 2018-04-20

Total Pages: 360

ISBN-13: 3527413006

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While group theory and its application to solid state physics is well established, this textbook raises two completely new aspects. First, it provides a better understanding by focusing on problem solving and making extensive use of Mathematica tools to visualize the concepts. Second, it offers a new tool for the photonics community by transferring the concepts of group theory and its application to photonic crystals. Clearly divided into three parts, the first provides the basics of group theory. Even at this stage, the authors go beyond the widely used standard examples to show the broad field of applications. Part II is devoted to applications in condensed matter physics, i.e. the electronic structure of materials. Combining the application of the computer algebra system Mathematica with pen and paper derivations leads to a better and faster understanding. The exhaustive discussion shows that the basics of group theory can also be applied to a totally different field, as seen in Part III. Here, photonic applications are discussed in parallel to the electronic case, with the focus on photonic crystals in two and three dimensions, as well as being partially expanded to other problems in the field of photonics. The authors have developed Mathematica package GTPack which is available for download from the book's homepage. Analytic considerations, numerical calculations and visualization are carried out using the same software. While the use of the Mathematica tools are demonstrated on elementary examples, they can equally be applied to more complicated tasks resulting from the reader's own research.


Book Synopsis Group Theory in Solid State Physics and Photonics by : Wolfram Hergert

Download or read book Group Theory in Solid State Physics and Photonics written by Wolfram Hergert and published by John Wiley & Sons. This book was released on 2018-04-20 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: While group theory and its application to solid state physics is well established, this textbook raises two completely new aspects. First, it provides a better understanding by focusing on problem solving and making extensive use of Mathematica tools to visualize the concepts. Second, it offers a new tool for the photonics community by transferring the concepts of group theory and its application to photonic crystals. Clearly divided into three parts, the first provides the basics of group theory. Even at this stage, the authors go beyond the widely used standard examples to show the broad field of applications. Part II is devoted to applications in condensed matter physics, i.e. the electronic structure of materials. Combining the application of the computer algebra system Mathematica with pen and paper derivations leads to a better and faster understanding. The exhaustive discussion shows that the basics of group theory can also be applied to a totally different field, as seen in Part III. Here, photonic applications are discussed in parallel to the electronic case, with the focus on photonic crystals in two and three dimensions, as well as being partially expanded to other problems in the field of photonics. The authors have developed Mathematica package GTPack which is available for download from the book's homepage. Analytic considerations, numerical calculations and visualization are carried out using the same software. While the use of the Mathematica tools are demonstrated on elementary examples, they can equally be applied to more complicated tasks resulting from the reader's own research.

Theory of Itinerant Electron Magnetism, 2nd Edition

Theory of Itinerant Electron Magnetism, 2nd Edition

Author: Jürgen Kübler

Publisher: Oxford University Press

Published: 2021-09-24

Total Pages: 600

ISBN-13: 019264954X

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This book, in the broadest sense, is an application of quantum mechanics and statistical mechanics to the field of magnetism. Under certain well described conditions, an immensely large number of electrons moving in the solid will collectively produce permanent magnetism. Permanent magnets are of fundamental interest, and magnetic materials are of great practical importance as they provide a large field of technological applications. The physical details describing the many electron problem of magnetism are presented in this book on the basis of the density functional approximation. The emphasis is on realistic magnets, for which the equations describing properties of the many electron problem can only be solved by using computers. The significant recent and continuing improvements are, to a very large extent, responsible for the progress in this field. Along with an introduction to the density functional theory, the book describes representative computational methods and detailed formulas for physical properties of magnets which include among other things the computation of magnetic ordering temperatures, the giant magneto-resistance, magneto-optical effects, weak ferromagnetism, the anomalous Hall and Nernst effects, and novel quasiparticles, such as Weyl fermions and magnetic skyrmions.


Book Synopsis Theory of Itinerant Electron Magnetism, 2nd Edition by : Jürgen Kübler

Download or read book Theory of Itinerant Electron Magnetism, 2nd Edition written by Jürgen Kübler and published by Oxford University Press. This book was released on 2021-09-24 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, in the broadest sense, is an application of quantum mechanics and statistical mechanics to the field of magnetism. Under certain well described conditions, an immensely large number of electrons moving in the solid will collectively produce permanent magnetism. Permanent magnets are of fundamental interest, and magnetic materials are of great practical importance as they provide a large field of technological applications. The physical details describing the many electron problem of magnetism are presented in this book on the basis of the density functional approximation. The emphasis is on realistic magnets, for which the equations describing properties of the many electron problem can only be solved by using computers. The significant recent and continuing improvements are, to a very large extent, responsible for the progress in this field. Along with an introduction to the density functional theory, the book describes representative computational methods and detailed formulas for physical properties of magnets which include among other things the computation of magnetic ordering temperatures, the giant magneto-resistance, magneto-optical effects, weak ferromagnetism, the anomalous Hall and Nernst effects, and novel quasiparticles, such as Weyl fermions and magnetic skyrmions.

Computational Quantum Mechanics for Materials Engineers

Computational Quantum Mechanics for Materials Engineers

Author: Levente Vitos

Publisher: Springer Science & Business Media

Published: 2007-08-10

Total Pages: 237

ISBN-13: 1846289513

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This is the only book to cover the most recent developments in applied quantum theory and their use in modeling materials properties. It describes new approaches to modeling disordered alloys and focuses on those approaches that combine the most efficient quantum-level theories of random alloys with the most sophisticated numerical techniques. In doing so, it establishes a theoretical insight into the electronic structure of complex materials such as stainless steels, Hume-Rothery alloys and silicates.


Book Synopsis Computational Quantum Mechanics for Materials Engineers by : Levente Vitos

Download or read book Computational Quantum Mechanics for Materials Engineers written by Levente Vitos and published by Springer Science & Business Media. This book was released on 2007-08-10 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the only book to cover the most recent developments in applied quantum theory and their use in modeling materials properties. It describes new approaches to modeling disordered alloys and focuses on those approaches that combine the most efficient quantum-level theories of random alloys with the most sophisticated numerical techniques. In doing so, it establishes a theoretical insight into the electronic structure of complex materials such as stainless steels, Hume-Rothery alloys and silicates.

Multiple Scattering in Solids

Multiple Scattering in Solids

Author: Antonios Gonis

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 298

ISBN-13: 1461212901

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A description of general techniques for solving linear partial differential equations by dividing space into regions to which the equations are independently applied and then assembling a global solution from the partial ones. Intended for researchers and graduates involved in calculations of the electronic structure of materials, this will also be of interest to workers in quantum chemistry, electron microscopy, acoustics, optics, and other fields. The book begins with an intuitive approach to scattering theory and then turns to partial waves and a formal development of multiple scattering theory, with applications to the solid state. The authors then present a variational derivation of the formalism and an augmented version of the theory, concluding with a discussion of the relativistic formalism and a discussion of the Poisson equation. Appendices discuss Green's functions, spherical functions, Moller operators and the Lippmann-Schwinger equation, irregular solutions, and singularities in Green's functions.


Book Synopsis Multiple Scattering in Solids by : Antonios Gonis

Download or read book Multiple Scattering in Solids written by Antonios Gonis and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: A description of general techniques for solving linear partial differential equations by dividing space into regions to which the equations are independently applied and then assembling a global solution from the partial ones. Intended for researchers and graduates involved in calculations of the electronic structure of materials, this will also be of interest to workers in quantum chemistry, electron microscopy, acoustics, optics, and other fields. The book begins with an intuitive approach to scattering theory and then turns to partial waves and a formal development of multiple scattering theory, with applications to the solid state. The authors then present a variational derivation of the formalism and an augmented version of the theory, concluding with a discussion of the relativistic formalism and a discussion of the Poisson equation. Appendices discuss Green's functions, spherical functions, Moller operators and the Lippmann-Schwinger equation, irregular solutions, and singularities in Green's functions.