Author : J. S. Faulkner
Publisher :
Page : 0 pages
File Size : 16,16 MB
Release : 2018
Category : Energy-band theory of solids
ISBN : 9780750314909
"In 1947, it was discovered that multiple scattering theory can be used to solve the Schrèodinger equation for the stationary states of electrons in a solid. Written by experts in the field, Dr. J S Faulkner, G M Stocks, and Yang Wang, this book collates the results of numerous studies in the field of multiple scattering theory and provides a comprehensive, systematic approach to MSTs." -- Prové de l'editor.
Author : Antonios Gonis
Publisher : Springer Science & Business Media
Page : 298 pages
File Size : 37,73 MB
Release : 2012-12-06
Category : Science
ISBN : 1461212901
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.
Author : Jan Zabloudil
Publisher : Springer Science & Business Media
Page : 386 pages
File Size : 22,89 MB
Release : 2005-12-12
Category : Science
ISBN : 3540270019
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.
Author : Hendrik Bluhm
Publisher : Walter de Gruyter GmbH & Co KG
Page : 406 pages
File Size : 27,79 MB
Release : 2019-04-01
Category : Science
ISBN : 3110438321
As a continuation of classical condensed matter physics texts, this graduate textbook introduces advanced topics of correlated electron systems, mesoscopic transport,quantum computing, optical excitations and topological insulators. The book is focusing on an intuitive understanding of the basic concepts of these rather complex subjects.
Author : Antonios Gonis
Publisher : North Holland
Page : 726 pages
File Size : 41,71 MB
Release : 1992
Category : Science
ISBN :
The book presents an exposition of Green functions and multiple scattering theory (MST) as presently used in the study of the electronic structure of matter. Ordered, as well as substitutionally disordered systems are discussed. This volume deals with both a tight binding approach to and a first-principles formulation of Green functions and multiple scattering theory. It includes extended discussions on such topics as the coherent potential approximation (CPA), and the use of full cell potentials in applications of MST to the calculation of electronic structure of solids. Special emphasis is given to the derivation of formulae within the angular momentum representation, as well as to problems. The book contains a collection of problems of particular interest to students.
Author : Didier Sébilleau
Publisher : Springer
Page : 416 pages
File Size : 38,61 MB
Release : 2018-04-05
Category : Science
ISBN : 3319738119
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.
Author : Richard M. Martin
Publisher : Cambridge University Press
Page : 658 pages
File Size : 18,69 MB
Release : 2004-04-08
Category : Science
ISBN : 9780521782852
An important graduate textbook in condensed matter physics by highly regarded physicist.
Author : A. Gonis
Publisher : Materials Research Society
Page : 0 pages
File Size : 29,68 MB
Release : 2000-01-01
Category : Technology & Engineering
ISBN : 9781558995406
The primary goal of a materials scientist is a predictive understanding of materials properties and that requires a clear picture of the role played by electrons in determining the materials' behavior. Only then can one hope to design and build new materials with desired physical, chemical and engineering characteristics. Research is carried out on the basis of quantum mechanics, through solution of the so-called single-particle Schrödinger equation that describes the behavior of electrons in a solid. This book describes one formal approach to solving the Schrödinger equation developed within the framework of multiple scattering theory (MST). It offers a comprehensive and welcome entrée to the field of electronic structure of solids and should serve as a treatise for advanced undergraduates, graduate students and researchers in the field. Topics Include: concepts and formalism; periodic solids and impurities; substitutional alloys; surfaces and interfaces; transport; phonons and photons and formal Green-function theory.
Author : Hugues Dreysse
Publisher : Springer
Page : 463 pages
File Size : 10,38 MB
Release : 2008-01-11
Category : Science
ISBN : 3540464379
A very comprehensive book, enabling the reader to understand the basic formalisms used in electronic structure determination and particularly the "Muffin Tin Orbitals" methods. The latest developments are presented, providing a very detailed description of the "Full Potential" schemes. This book will provide a real state of the art, since almost all of the contributions on formalism have not been, and will not be, published elsewhere. This book will become a standard reference volume. Moreover, applications in very active fields of today's research on magnetism are presented. A wide spectrum of such questions is covered by this book. For instance, the paper on interlayer exchange coupling should become a "classic", since there has been fantastic experimental activity for 10 years and this can be considered to be the "final" theoretical answer to this question. This work has never been presented in such a complete form.
Author : Ilja Turek
Publisher : Springer Science & Business Media
Page : 340 pages
File Size : 40,36 MB
Release : 1997
Category : Science
ISBN : 9780792397984
An introduction to the study of basic electronic and magnetic properties of complex materials such as alloys, their surfaces, interfaces, and extended defects. Part I explores theoretical background, with chapters on the linear muffin-tin orbital method, Green function method, coherent potential approximation, self- consistency within atomic sphere approximation, and relativistic theory. Part II is devoted to applications including magnetic properties, numerical implementation, and interatomic interactions in alloys. Of interest to researchers in solid state theory, surface science, and computational materials research. Annotation copyrighted by Book News, Inc., Portland, OR.
