Theoretical Study On Correlation Effects In Topological Matter
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Theoretical Study On Correlation Effects In Topological Matter
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Author : Hiroki Isobe
language : en
Publisher: Springer
Release Date : 2017-04-04
Theoretical Study On Correlation Effects In Topological Matter written by Hiroki Isobe and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-04-04 with Technology & Engineering categories.
This thesis elucidates electron correlation effects in topological matter whose electronic states hold nontrivial topological properties robust against small perturbations. In addition to a comprehensive introduction to topological matter, this thesis provides a new perspective on correlated topological matter. The book comprises three subjects, in which electron correlations in different forms are considered. The first focuses on Coulomb interactions for massless Dirac fermions. Using a perturbative approach, the author reveals emergent Lorentz invariance in a low-energy limit and discusses how to probe the Lorentz invariance experimentally. The second subject aims to show a principle for synthesizing topological insulators with common, light elements. The interplay between the spin–orbit interaction and electron correlation is considered, and Hund's rule and electron filling are consequently found to play a key role for a strong spin–orbit interaction important for topological insulators. The last subject is classification of topological crystalline insulators in the presence of electron correlation. Unlike non-interacting topological insulators, such two- and three-dimensional correlated insulators with mirror symmetry are demonstrated to be characterized, respectively, by the Z4 and Z8 group by using the bosonization technique and a geometrical consideration.
Topological Quantum Matter
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Author : Thomas Klein Kvorning
language : en
Publisher: Springer
Release Date : 2018-08-12
Topological Quantum Matter written by Thomas Klein Kvorning and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-08-12 with Science categories.
This book offers a theoretical description of topological matter in terms of effective field theories, and in particular topological field theories, focusing on two main topics: topological superconductors and topological insulators. Even though there is vast literature on these subjects, the book fills an important gap by providing a concise introduction to both topological order and symmetry-protected phases using a modern mathematical language, and developing the theoretical concepts by highlighting the physics and the physical properties of the systems. Further, it discusses in detail the topological interactions for topologically ordered matter, and the response to smooth external fields for symmetry protected matter. The book also covers more specialized topics that cannot be found elsewhere. Specifically, the response of superconductors to geometry, including the newly discovered geo-Meissner effect; and a correction to the usual Meissner effect, only present in the topologically interesting chiral superconductors.
Field Theories In Condensed Matter Physics
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Author : Sumathi Rao
language : en
Publisher: CRC Press
Release Date : 2019-04-24
Field Theories In Condensed Matter Physics written by Sumathi Rao and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-04-24 with Science categories.
The application of field theoretic techniques to problems in condensed matter physics has generated an array of concepts and mathematical techniques to attack a range of problems such as the theory of quantum phase transitions, the quantum Hall effect, and quantum wires. While concepts such as the renormalization group, topology, and bosonization h
Topological Phases Of Matter
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Author : Roderich Moessner
language : en
Publisher: Cambridge University Press
Release Date : 2021-04-29
Topological Phases Of Matter written by Roderich Moessner and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-04-29 with Mathematics categories.
This important graduate level text unites the physical mechanisms behind the phenomena of topological matter within a theoretical framework.
Field Theories Of Condensed Matter Physics
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Author : Eduardo Fradkin
language : en
Publisher: Cambridge University Press
Release Date : 2013-02-28
Field Theories Of Condensed Matter Physics written by Eduardo Fradkin and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-02-28 with Science categories.
Presenting the physics of the most challenging problems in condensed matter using the conceptual framework of quantum field theory, this book is of great interest to physicists in condensed matter and high energy and string theorists, as well as mathematicians. Revised and updated, this second edition features new chapters on the renormalization group, the Luttinger liquid, gauge theory, topological fluids, topological insulators and quantum entanglement. The book begins with the basic concepts and tools, developing them gradually to bring readers to the issues currently faced at the frontiers of research, such as topological phases of matter, quantum and classical critical phenomena, quantum Hall effects and superconductors. Other topics covered include one-dimensional strongly correlated systems, quantum ordered and disordered phases, topological structures in condensed matter and in field theory and fractional statistics.
Topological Phase Transitions And New Developments
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Author : Jose Jorge V
language : en
Publisher: World Scientific
Release Date : 2018-08-10
Topological Phase Transitions And New Developments written by Jose Jorge V and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-08-10 with Science categories.
Geometry and topology have been a fascination in physics since the start of the 20th century. A leading example is Einstein's geometrical theory of gravity. At the beginning of the 1970s, topological ideas entered areas of condensed matter physics. These advances were driven by new seminal ideas resolving a serious contradiction between experiment and the standard interpretation of a rigorous mathematical theorem which led to the study of new exotic topological phases of matter. Topological defect driven phase transitions in thin, two dimensional films of superfluids, superconductors and crystals have provided great insight into the mechanism governing these topological phases present in those physical systems. Moreover, many of these topological properties remain 'protected' against disorder and topological distortion perturbations. An example of possible applications of such robustness to perturbations is in the search for encoding information in quantum computers, potentially providing the platform for fault-tolerant quantum computations. In the past four decades, the discovery of topological phases engendered great interest in condensed matter physics. It also attracted the attention of researchers working on quantum information, quantum materials and simulations, high energy physics and string theory. This unique volume contains articles written by some of the most prominent names in the field, including Nobel Laureate John Michael Kosterlitz and Professor Jorge V José. They originate from talks and discussions by leading experts at a recent workshop. They review previous works as well as addressing contemporary developments in the most pressing and important issues on various aspects of topological phases and topological phase transitions.
Energy And Water Development Appropriations For 2014
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Author : United States. Congress. House. Committee on Appropriations. Subcommittee on Energy and Water Development
language : en
Publisher:
Release Date : 2013
Energy And Water Development Appropriations For 2014 written by United States. Congress. House. Committee on Appropriations. Subcommittee on Energy and Water Development and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Federal aid to energy development categories.
Energy And Water Development Appropriations For 2013 Dept Of Energy Fy 2013 Justifications
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Author : United States. Congress. House. Committee on Appropriations. Subcommittee on Energy and Water Development
language : en
Publisher:
Release Date : 2012
Energy And Water Development Appropriations For 2013 Dept Of Energy Fy 2013 Justifications written by United States. Congress. House. Committee on Appropriations. Subcommittee on Energy and Water Development and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Federal aid to energy development categories.
Energy And Water Development Appropriations For 2013
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Author : United States. Congress. House. Committee on Appropriations. Subcommittee on Energy and Water Development
language : en
Publisher:
Release Date : 2012
Energy And Water Development Appropriations For 2013 written by United States. Congress. House. Committee on Appropriations. Subcommittee on Energy and Water Development and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Federal aid to energy development categories.
Formation And Interactions Of Topological Defects
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Author : Anne-Christine Davis
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Formation And Interactions Of Topological Defects written by Anne-Christine Davis and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
Topological defects have recently become of great interest in condensed matter physics, particle physics and cosmology. They are the unavoidable remnants of many symmetry breaking phase transitions. Topological defects can play an important role in describing the properties of many condensed matter systems (e.g. superfluids and superconduc tors); they can catalyze many unusual effects in particle physics models and they may be responsible for seeding the density perturbations in the early Universe which de velop into galaxies and the large-scale structure of the Universe. Topological defects are also of great interest in mathematics as nontrivial solutions of nonlinear differential equations stabilized by topological effects. The purpose of the Advanced Study Institute "Formation and Interactions of Topo logical Defects" was to bring together students and practitioners in condensed matter physics, particle physics and cosmology, to give a detailed exposition of the role of topo logical defects in these fields; to explore similarities and differences in the approaches; and to provide a common basis for discussion and future collaborative research on common problems.