Download or read book Defects and Geometry in Condensed Matter Physics written by David R. Nelson and published by Cambridge University Press. This book was released on 2002-03-18 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher Description
Download or read book Geometry in Condensed Matter Physics written by J. F. Sadoc and published by World Scientific. This book was released on 1990 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of geometry has become an important ingredient in condensed matter physics. It appears not only to describe, but also to explain structures and their properties. There are two aspects to using geometry: the visual and intuitive understanding, which fosters an immediate grasp of the objects one studies, and the abstract tendency so well developed in the Riemannian manifold theory. Both aspects contribute to the same understanding when they are applied to the main problems occurring in condensed matter sciences. Sophisticated structures found in nature appear naturally as the result of simple constraints which are presented in geometrical terms. Blue phases, amorphous and glassy materials, Frank and Kasper Metals, quasi-crystals are approached in their complexity, using the simple principles of geometry. The relation between biology and liquid crystal sciences, the physics of membranes is a fundamental aspect presented in this book.
Download or read book Principles of Condensed Matter Physics written by P. M. Chaikin and published by Cambridge University Press. This book was released on 2000-09-28 with total page 724 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now in paperback, this book provides an overview of the physics of condensed matter systems. Assuming a familiarity with the basics of quantum mechanics and statistical mechanics, the book establishes a general framework for describing condensed phases of matter, based on symmetries and conservation laws. It explores the role of spatial dimensionality and microscopic interactions in determining the nature of phase transitions, as well as discussing the structure and properties of materials with different symmetries. Particular attention is given to critical phenomena and renormalization group methods. The properties of liquids, liquid crystals, quasicrystals, crystalline solids, magnetically ordered systems and amorphous solids are investigated in terms of their symmetry, generalised rigidity, hydrodynamics and topological defect structure. In addition to serving as a course text, this book is an essential reference for students and researchers in physics, applied physics, chemistry, materials science and engineering, who are interested in modern condensed matter physics.
Download or read book Defects Fluctuations and Geometry in Condensed Matter Physics written by David Nelson and published by . This book was released on 1993 with total page 93 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Topology and Geometry for Physicists written by Charles Nash and published by Courier Corporation. This book was released on 2013-08-16 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by physicists for physics students, this text assumes no detailed background in topology or geometry. Topics include differential forms, homotopy, homology, cohomology, fiber bundles, connection and covariant derivatives, and Morse theory. 1983 edition.
Download or read book Topology in Condensed Matter written by Michael I. Monastyrsky and published by Springer Science & Business Media. This book was released on 2006-02-04 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Morphology of Condensed Matter written by Klaus R. Mecke and published by Springer. This book was released on 2008-01-11 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: The morphology of spatially stuctured materials is a rapidly growing field of research at the interface of statistical physics, applied mathematics and materials science. A wide spectrum of applications encompasses the flow through porous and composite materials as well as microemulsions and foams. Written as a set of lectures and tutorial reviews leading up to the forefront of research, this book will be both a compendium for the experienced researcher as well as a high level introductory text for postgraduate students and nonspecialist researchers working in related areas.
Download or read book A Brief Introduction to Topology and Differential Geometry in Condensed Matter Physics Second Edition written by ANTONIO SERGIO TEIXEIRA. PIRES and published by IOP Publishing Limited. This book was released on 2021-11-30 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: Concepts drawn from topology and differential geometry have become essential to the understanding of several phenomena in condensed matter physics. This book provides a self-consistent introduction to the mathematical ideas and methods from these fields that will enable the student of condensed matter physics to begin applying these concepts with confidence. This expanded second edition adds eight new chapters, including one on the classification of topological states of topological insulators and superconductors and another on Weyl semimetals, as well as elaborated discussions of the Aharonov-Casher effect, topological magnon insulators, topological superconductors and K-theory. Key Features: Provides an introduction to path integral formalism Introduces all the basic concepts in differential geometry and topology Presents the quantum Hall effect using topology concepts Includes an introduction to topological insulators Presents the Weyl semimetal using topological concepts Studies spin systems using topology
Download or read book Condensed Matter Field Theory written by Alexander Altland and published by Cambridge University Press. This book was released on 2010-03-11 with total page 785 pages. Available in PDF, EPUB and Kindle. Book excerpt: This primer is aimed at elevating graduate students of condensed matter theory to a level where they can engage in independent research. Topics covered include second quantisation, path and functional field integration, mean-field theory and collective phenomena.
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.
Download or read book Geometrical Frustration written by J. F. Sadoc and published by Cambridge University Press. This book was released on 1999-08-12 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: A clear account of how the application of geometrical frustration elucidates the structure and properties of non-periodic materials.
Download or read book Geometry Topology and Physics written by Mikio Nakahara and published by Taylor & Francis. This book was released on 2018-10-03 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential geometry and topology have become essential tools for many theoretical physicists. In particular, they are indispensable in theoretical studies of condensed matter physics, gravity, and particle physics. Geometry, Topology and Physics, Second Edition introduces the ideas and techniques of differential geometry and topology at a level suitable for postgraduate students and researchers in these fields. The second edition of this popular and established text incorporates a number of changes designed to meet the needs of the reader and reflect the development of the subject. The book features a considerably expanded first chapter, reviewing aspects of path integral quantization and gauge theories. Chapter 2 introduces the mathematical concepts of maps, vector spaces, and topology. The following chapters focus on more elaborate concepts in geometry and topology and discuss the application of these concepts to liquid crystals, superfluid helium, general relativity, and bosonic string theory. Later chapters unify geometry and topology, exploring fiber bundles, characteristic classes, and index theorems. New to this second edition is the proof of the index theorem in terms of supersymmetric quantum mechanics. The final two chapters are devoted to the most fascinating applications of geometry and topology in contemporary physics, namely the study of anomalies in gauge field theories and the analysis of Polakov's bosonic string theory from the geometrical point of view. Geometry, Topology and Physics, Second Edition is an ideal introduction to differential geometry and topology for postgraduate students and researchers in theoretical and mathematical physics.
Download or read book Disordered Materials written by Paolo M. Ossi and published by Springer Science & Business Media. This book was released on 2003 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained textbook aims to introduce the physics of structurally disordered condensed systems at the level of advanced undergraduate and graduate students. The topics discussed include the geometry and symmetries of the building blocks commonly used to obtain atomic structures, the various kinds of disorder, the phenomenology and the main theories of the glass transition, investigation of the structure of amorphous systems, the dependence of system structure on its dimensions (clusters), and the case of positional order in the absence of translational order (quasicrystals).
Download or read book String Theory Methods for Condensed Matter Physics written by Horatiu Nastase and published by Cambridge University Press. This book was released on 2017-09-21 with total page 631 pages. Available in PDF, EPUB and Kindle. Book excerpt: The discovery of a duality between Anti-de Sitter spaces (AdS) and Conformal Field Theories (CFT) has led to major advances in our understanding of quantum field theory and quantum gravity. String theory methods and AdS/CFT correspondence maps provide new ways to think about difficult condensed matter problems. String theory methods based on the AdS/CFT correspondence allow us to transform problems so they have weak interactions and can be solved more easily. They can also help map problems to different descriptions, for instance mapping the description of a fluid using the Navier–Stokes equations to the description of an event horizon of a black hole using Einstein's equations. This textbook covers the applications of string theory methods and the mathematics of AdS/CFT to areas of condensed matter physics. Bridging the gap between string theory and condensed matter, this is a valuable textbook for students and researchers in both fields.
Download or read book Condensed Matter and Materials Physics written by National Research Council and published by National Academies Press. This book was released on 2008-01-21 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: The development of transistors, the integrated circuit, liquid-crystal displays, and even DVD players can be traced back to fundamental research pioneered in the field of condensed-matter and materials physics (CMPP). The United States has been a leader in the field, but that status is now in jeopardy. Condensed-Matter and Materials Physics, part of the Physics 2010 decadal survey project, assesses the present state of the field in the United States, examines possible directions for the 21st century, offers a set of scientific challenges for American researchers to tackle, and makes recommendations for effective spending of federal funds. This book maintains that the field of CMPP is certain to be principle to both scientific and economic advances over the next decade and the lack of an achievable plan would leave the United States behind. This book's discussion of the intellectual and technological challenges of the coming decade centers around six grand challenges concerning energy demand, the physics of life, information technology, nanotechnology, complex phenomena, and behavior far from equilibrium. Policy makers, university administrators, industry research and development executives dependent upon developments in CMPP, and scientists working in the field will find this book of interest.
Download or read book Many body Physics Topology And Geometry written by Siddhartha Sen and published by World Scientific. This book was released on 2015-06-15 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book explains concepts and ideas of mathematics and physics that are relevant for advanced students and researchers of condensed matter physics. With this aim, a brief intuitive introduction to many-body theory is given as a powerful qualitative tool for understanding complex systems. The important emergent concept of a quasiparticle is then introduced as a way to reduce a many-body problem to a single particle quantum problem. Examples of quasiparticles in graphene, superconductors, superfluids and in a topological insulator on a superconductor are discussed.The mathematical idea of self-adjoint extension, which allows short distance information to be included in an effective long distance theory through boundary conditions, is introduced through simple examples and then applied extensively to analyse and predict new physical consequences for graphene.The mathematical discipline of topology is introduced in an intuitive way and is then combined with the methods of differential geometry to show how the emergence of gapless states can be understood. Practical ways of carrying out topological calculations are described.
Download or read book Local Order in Condensed Matter Physics written by S. D. Mahanti and published by Nova Publishers. This book was released on 1995 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many of the observed electronic properties of condensed matter systems such as clusters of atoms, solids with long or short range order (amorphous and liquid metals) are governed by the local atomic arrangements around the probe site. The topics in this important volume include: Molecules and clusters; Point defects and defect complexes in solids; Hydrogen and positive muons in metals and semiconductors; Disordered solids and liquid metals; Diffusion and clustering in bulk, on surfaces; and other restricted geometry; High temperature superconductors including C60 assembled materials.
