Interacting Electrons and Quantum Magnetism

Author: Assa Auerbach
Publisher: Springer Science & Business Media
ISBN: 1461208696
Format: PDF, ePub
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In the excitement and rapid pace of developments, writing pedagogical texts has low priority for most researchers. However, in transforming my lecture l notes into this book, I found a personal benefit: the organization of what I understand in a (hopefully simple) logical sequence. Very little in this text is my original contribution. Most of the knowledge was collected from the research literature. Some was acquired by conversations with colleagues; a kind of physics oral tradition passed between disciples of a similar faith. For many years, diagramatic perturbation theory has been the major theoretical tool for treating interactions in metals, semiconductors, itiner ant magnets, and superconductors. It is in essence a weak coupling expan sion about free quasiparticles. Many experimental discoveries during the last decade, including heavy fermions, fractional quantum Hall effect, high temperature superconductivity, and quantum spin chains, are not readily accessible from the weak coupling point of view. Therefore, recent years have seen vigorous development of alternative, nonperturbative tools for handling strong electron-electron interactions. I concentrate on two basic paradigms of strongly interacting (or con strained) quantum systems: the Hubbard model and the Heisenberg model. These models are vehicles for fundamental concepts, such as effective Ha miltonians, variational ground states, spontaneous symmetry breaking, and quantum disorder. In addition, they are used as test grounds for various nonperturbative approximation schemes that have found applications in diverse areas of theoretical physics.

Quantum Magnetism

Author: Ulrich Schollwöck
Publisher: Springer
ISBN: 3540400664
Format: PDF, ePub, Mobi
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Closing a gap in the literature, this volume is intended both as an introductory text at postgraduate level and as a modern, comprehensive reference for researchers in the field. Provides a full working description of the main fundamental tools in the theorists toolbox which have proven themselves on the field of quantum magnetism in recent years. Concludes by focusing on the most important cuurent materials form an experimental viewpoint, thus linking back to the initial theoretical concepts.

Geometry Particles and Fields

Author: Bjoern Felsager
Publisher: Springer Science & Business Media
ISBN: 9780387982670
Format: PDF, Kindle
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Geometry, Particles and Fields is a direct reprint of the first edition. From a review of the first edition: "The present volume is a welcome edition to the growing number of books that develop geometrical language and use it to describe new developments in particle physics...It provides clear treatment that is accessible to graduate students with a knowledge of advanced calculus and of classical physics...The second half of the book deals with the principles of differential geometry and its applications, with a mathematical machinery of very wide range. Here clear line drawings and illustrations supplement the multitude of mathematical definitions. This section, in its clarity and pedagogy, is reminiscent of Gravitation by Charles Misner, Kip Thorne and John Wheeler...Felsager gives a very clear presentation of the use of geometric methods in particle physics...For those who have resisted learning this new language, his book provides a very good introduction as well as physical motivation. The inclusion of numerous exercises, worked out, renders the book useful for independent study also. I hope this book will be followed by others from authors with equal flair to provide a readable excursion into the next step." PHYSICS TODAY Bjoern Felsager is a high school teacher in Copenhagen. Educated at the Niels Bohr Institute, he has taught at the Universities of Copenhagen and Odense.

Dynamics of a Quantum Spin Liquid

Author: Johannes Knolle
Publisher: Springer
ISBN: 3319239538
Format: PDF, ePub, Mobi
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This thesis presents an exact theoretical study of dynamical correlation functions in different phases of a two-dimensional quantum spin liquid. By calculating the dynamical spin structure factor and the Raman scattering cross section, this thesis shows that there are salient signatures—qualitative and quantitative—of the Majorana fermions and the gauge fluxes emerging as effective degrees of freedom in the exactly solvable Kitaev honeycomb lattice model. The model is a representative of a class of spin liquids with Majorana fermions coupled to Z2 gauge fields. The qualitative features of the response functions should therefore be characteristic for this broad class of topological states.

Introduction to the Physics of Electrons in Solids

Author: Henri Alloul
Publisher: Springer Science & Business Media
ISBN: 9783642135651
Format: PDF, ePub, Docs
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This textbook sets out to enable readers to understand fundamental aspects underlying quantum macroscopic phenomena in solids, primarily through the modern experimental techniques and results. The classic independent-electrons approach for describing the electronic structure in terms of energy bands helps explain the occurrence of metals, insulators and semiconductors. It is underlined that superconductivity and magnetism can only be understood by taking into account the interactions between electrons. The text recounts the experimental observations that have revealed the main properties of the superconductors and were essential to track its physical origin. While fundamental concepts are underlined, those which are required to describe the high technology applications, present or future, are emphasized as well. Problem sets involve experimental approaches and tools which support a practical understanding of the materials and their behaviour.

Lecture Notes on Electron Correlation and Magnetism

Author: Patrik Fazekas
Publisher: World Scientific
ISBN: 9812386270
Format: PDF, Docs
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This volume attempts to fill the gap between standard introductions to solid state physics, and textbooks which give a sophisticated treatment of strongly correlated systems. Starting with the basics of the microscopic theory of magnetism, one proceeds with relatively elementary arguments to such topics of current interest as the Mott transition, heavy fermions, and quantum magnetism. The basic approach is that magnetism is one of the manifestations of electronOCoelectron interaction, and its treatment should be part of a general discussion of electron correlation effects. Though the text is primarily theoretical, a large number of illustrative examples are brought from the experimental literature. There are many problems, with detailed solutions. The book is based on the material of lectures given at the Diploma Course of the International Center for Theoretical Physics, Trieste, and later at the Technical University and the R. EAtvAs University of Budapest, Hungary. Sample Chapter(s). Chapter 1.1: Magnetism and Other Effects of Electron-Electron Interaction (483 KB). Chapter 1.2: Sources of Magnetic Fields (311 KB). Chapter 1.3: Getting Acquainted: Magnetite (692 KB). Chapter 1.4: Variety of Correlated Systems: An Outline of the Course (307 KB). Contents: Atoms, Ions, and Molecules; Crystal Field Theory; Mott Transition and Hubbard Model; Mott Insulators; Heinsenberg Magnets; Itinerant Electron Magnetism; Ferromagnetism in Hubbard Models; The Gutzwiller Variational Method; The Correlated Metallic State; Mixed Valence and Heavy Fermions; Quantum Hall Effect; Hydrogen Atom; Single-Spin-Flip Ansatz; Gutzwiller Approximation; SchriefferOCoWolff Transformation. Readership: Graduate students and researchers in condensed matter physics."

Sieben kurze Lektionen ber Physik

Author: Carlo Rovelli
Publisher: Rowohlt Verlag GmbH
ISBN: 3644052212
Format: PDF, ePub, Mobi
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Hundert schmale Seiten reichen, um die Physik der Moderne zu erklären Wo kommen wir her? Was können wir wissen? Seit ihren umwälzenden Entdeckungen im zwanzigsten Jahrhundert spüren Physiker den Kräften und Teilchen nach, die die Welt im Innersten und Äußersten zusammenhalten. Für jedermann verständlich, hat Carlo Rovelli dieses zauberhafte Buch darüber geschrieben. Es stürmte in wenigen Wochen an die Spitze der italienischen Bestsellerliste und wird derzeit in fast zwanzig Sprachen übersetzt. In eleganten, klaren Sätzen erklärt Rovelli die Physik der Moderne: Einstein und die Relativitätstheorie, Max Planck und die Quantenmechanik, die Entstehung des Universums, Schwarze Löcher, die Elementarteilchen, die Beschaffenheit von Raum und Zeit – und die Loop-Theorie, sein ureigenstes Arbeitsfeld. Ein Buch, das jeder verstehen kann – ein Lesevergnügen zum Staunen, Genießen und Mitreden können. «Von Natur aus wollen wir immer mehr wissen und immer weiter lernen. Unser Wissen über die Welt wächst. Uns treibt der Drang nach Erkenntnis und lernend stoßen wir an Grenzen. In den tiefsten Tiefen des Raumgewebes, im Ursprung des Kosmos, im Wesen der Zeit, im Schicksal der Schwarzen Löcher und im Funktionieren unseres eigenen Denkens. Hier, an den Grenzen unseres Wissens, wo sich das Meer unseres Nichtwissens vor uns auftut, leuchten das Geheimnis der Welt, die Schönheit der Welt, und es verschlägt uns den Atem.», schreibt Carlo Rovelli.

Modern Condensed Matter Physics

Author: Steven M. Girvin
Publisher: Cambridge University Press
ISBN: 110713739X
Format: PDF, ePub
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Comprehensive and accessible coverage from the basics to advanced topics in modern quantum condensed matter physics.

Moderne Physik

Author: Paul A. Tipler
Publisher: De Gruyter Oldenbourg
ISBN: 9783486582758
Format: PDF, Kindle
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Endlich liegt die anschauliche und fundierte Einführung zur Modernen Physik von Paul A. Tipler und Ralph A. Llewellyn in der deutschen Übersetzung vor. Eine umfassende Einführung in die Relativitätstheorie, die Quantenmechanik und die statistische Physik wird im ersten Teil des Buches gegeben. Die wichtigsten Arbeitsgebiete der modernen Physik - Festkörperphysik, Kern- und Teilchenphysik sowie die Kosmologie und Astrophysik - werden in der zweiten Hälfte des Buches behandelt. Zu weiteren zahlreichen Spezialgebieten gibt es Ergänzungen im Internet beim Verlag der amerikanischen Originalausgabe, die eine Vertiefung des Stoffes ermöglichen. Mit ca. 700 Übungsaufgaben eignet sich das Buch hervorragend zum Selbststudium sowie zur Begleitung einer entsprechenden Vorlesung. Die Übersetzung des Werkes übernahm Dr. Anna Schleitzer. Die Bearbeitung und Anpassung an Anforderungen deutscher Hochschulen wurde von Prof. Dr. G. Czycholl, Prof. Dr. W. Dreybrodt, Prof. Dr. C. Noack und Prof. Dr. U. Strohbusch durchgeführt. Dieses Team gewährleistet auch für die deutsche Fassung die wissenschaftliche Exaktheit und Stringenz des Originals.