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| Author | : David R. Nelson |
| Publisher | : Cambridge University Press |
| Total Pages | : 396 |
| Release | : 2002-03-18 |
| Genre | : Science |
| ISBN | : 9780521004008 |
Publisher Description
| Author | : J. F. Sadoc |
| Publisher | : World Scientific |
| Total Pages | : 318 |
| Release | : 1990 |
| Genre | : Science |
| ISBN | : 9789810200893 |
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.
| Author | : David Nelson |
| Publisher | : |
| Total Pages | : 93 |
| Release | : 1993 |
| Genre | : |
| ISBN | : |
| Author | : Charles Nash |
| Publisher | : Courier Corporation |
| Total Pages | : 302 |
| Release | : 2013-08-16 |
| Genre | : Mathematics |
| ISBN | : 0486318362 |
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.
| Author | : P. M. Chaikin |
| Publisher | : Cambridge University Press |
| Total Pages | : 724 |
| Release | : 2000-09-28 |
| Genre | : Science |
| ISBN | : 1139643053 |
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.
| Author | : Steven M. Girvin |
| Publisher | : Cambridge University Press |
| Total Pages | : 720 |
| Release | : 2019-02-28 |
| Genre | : Science |
| ISBN | : 110713739X |
Comprehensive and accessible coverage from the basics to advanced topics in modern quantum condensed matter physics.
| Author | : Michael I. Monastyrsky |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 263 |
| Release | : 2006-02-04 |
| Genre | : Science |
| ISBN | : 3540312641 |
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.
| Author | : Klaus R. Mecke |
| Publisher | : Springer |
| Total Pages | : 452 |
| Release | : 2008-01-11 |
| Genre | : Science |
| ISBN | : 3540457828 |
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.
| Author | : Yuriy M. Bunkov |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 388 |
| Release | : 2012-12-06 |
| Genre | : Science |
| ISBN | : 9401141061 |
Topological defects formed at symmetry-breaking phase transitions play an important role in many different fields of physics. They appear in many condensed-matter systems at low temperature; examples include vortices in superfluid helium-4, a rich variety of defects in helium-3, quantized mag netic flux tubes in type-II superconductors, and disclination lines and other defects in liquid crystals. In cosmology, unified gauge theories of particle interactions suggest a sequence of phase transitions in the very early uni verse some of which may lead to defect formation. In astrophysics, defects play an important role in the dynamics of neutron stars. In 1997 the European Science Foundation started the scientific network "Topological defects" headed by Tom Kibble. This network has provided us with a unique opportunity of establishing a collaboration between the representatives of these very different branches of modern physics. The NATO-ASI (Advanced Study Institute), held in Les Houches in February 1999 thanks to the support of the Scientific Division of NATO, the European Science Foundation and the CNRS, represents a key event of this ESF network. It brought together participants from widely different fields, with diverse expertise and vocabulary, fostering the exchange of ideas. The lectures given by particle physicists, cosmologists and condensed matter physicists are the result of the fruitful collaborations established since 1997 between groups in several European countries and in the U.S.A.
| Author | : ANTONIO SERGIO TEIXEIRA. PIRES |
| Publisher | : IOP Publishing Limited |
| Total Pages | : 200 |
| Release | : 2021-11-30 |
| Genre | : |
| ISBN | : 9780750339537 |
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
