Series Expansion Methods For Strongly Interacting Lattice Models
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Series Expansion Methods For Strongly Interacting Lattice Models
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Author : Jaan Oitmaa
language : en
Publisher: Cambridge University Press
Release Date : 2006-04-06
Series Expansion Methods For Strongly Interacting Lattice Models written by Jaan Oitmaa 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 2006-04-06 with Science categories.
A comprehensive guide to series expansion methods for lattice models in theoretical physics.
Statistical Approach To Quantum Field Theory
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Author : Andreas Wipf
language : en
Publisher: Springer Nature
Release Date : 2021-10-25
Statistical Approach To Quantum Field Theory written by Andreas Wipf and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-25 with Science categories.
This new expanded second edition has been totally revised and corrected. The reader finds two complete new chapters. One covers the exact solution of the finite temperature Schwinger model with periodic boundary conditions. This simple model supports instanton solutions – similarly as QCD – and allows for a detailed discussion of topological sectors in gauge theories, the anomaly-induced breaking of chiral symmetry and the intriguing role of fermionic zero modes. The other new chapter is devoted to interacting fermions at finite fermion density and finite temperature. Such low-dimensional models are used to describe long-energy properties of Dirac-type materials in condensed matter physics. The large-N solutions of the Gross-Neveu, Nambu-Jona-Lasinio and Thirring models are presented in great detail, where N denotes the number of fermion flavors. Towards the end of the book corrections to the large-N solution and simulation results of a finite number of fermion flavors are presented. Further problems are added at the end of each chapter in order to guide the reader to a deeper understanding of the presented topics. This book is meant for advanced students and young researchers who want to acquire the necessary tools and experience to produce research results in the statistical approach to Quantum Field Theory.
Equilibrium Statistical Mechanics Of Lattice Models
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Author : David A. Lavis
language : en
Publisher: Springer
Release Date : 2015-01-31
Equilibrium Statistical Mechanics Of Lattice Models written by David A. Lavis and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-01-31 with Science categories.
Most interesting and difficult problems in equilibrium statistical mechanics concern models which exhibit phase transitions. For graduate students and more experienced researchers this book provides an invaluable reference source of approximate and exact solutions for a comprehensive range of such models. Part I contains background material on classical thermodynamics and statistical mechanics, together with a classification and survey of lattice models. The geometry of phase transitions is described and scaling theory is used to introduce critical exponents and scaling laws. An introduction is given to finite-size scaling, conformal invariance and Schramm—Loewner evolution. Part II contains accounts of classical mean-field methods. The parallels between Landau expansions and catastrophe theory are discussed and Ginzburg--Landau theory is introduced. The extension of mean-field theory to higher-orders is explored using the Kikuchi--Hijmans--De Boer hierarchy of approximations. In Part III the use of algebraic, transformation and decoration methods to obtain exact system information is considered. This is followed by an account of the use of transfer matrices for the location of incipient phase transitions in one-dimensionally infinite models and for exact solutions for two-dimensionally infinite systems. The latter is applied to a general analysis of eight-vertex models yielding as special cases the two-dimensional Ising model and the six-vertex model. The treatment of exact results ends with a discussion of dimer models. In Part IV series methods and real-space renormalization group transformations are discussed. The use of the De Neef—Enting finite-lattice method is described in detail and applied to the derivation of series for a number of model systems, in particular for the Potts model. The use of Pad\'e, differential and algebraic approximants to locate and analyze second- and first-order transitions is described. The realization of the ideas of scaling theory by the renormalization group is presented together with treatments of various approximation schemes including phenomenological renormalization. Part V of the book contains a collection of mathematical appendices intended to minimise the need to refer to other mathematical sources.
Introduction To Frustrated Magnetism
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Author : Claudine Lacroix
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-01-12
Introduction To Frustrated Magnetism written by Claudine Lacroix 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 2011-01-12 with Science categories.
The field of highly frustrated magnetism has developed considerably and expanded over the last 15 years. Issuing from canonical geometric frustration of interactions, it now extends over other aspects with many degrees of freedom such as magneto-elastic couplings, orbital degrees of freedom, dilution effects, and electron doping. Its is thus shown here that the concept of frustration impacts on many other fields in physics than magnetism. This book represents a state-of-the-art review aimed at a broad audience with tutorial chapters and more topical ones, encompassing solid-state chemistry, experimental and theoretical physics.
2d Quantum Metamaterials Proceedings Of The 2018 Nist Workshop 2018 Nist Workshop
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Author : Wiley P Kirk
language : en
Publisher: World Scientific
Release Date : 2019-09-12
2d Quantum Metamaterials Proceedings Of The 2018 Nist Workshop 2018 Nist Workshop written by Wiley P Kirk and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-12 with Science categories.
Exciting developments in strategic areas of science and engineering makes for possible new engineered structures identified as quantum metamaterials. These new structures offer unusual properties that involve fundamental concepts such as entangled quantum states, superposition, quantum coherence, analog quantum simulation, etc., opening a new era of technological advancement. This manuscript presents the output of a recent workshop held at the National Institute of Standards and Technology in 2018. It covers the key scientific ideas, various technical approaches under investigation, and the potential technological outcomes in a new field of research.
Quantum Gas Experiments Exploring Many Body States
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Author : Paivi Torma
language : en
Publisher: World Scientific
Release Date : 2014-09-16
Quantum Gas Experiments Exploring Many Body States written by Paivi Torma and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-16 with Science categories.
Quantum phenomena of many-particle systems are fascinating in their complexity and are consequently not fully understood and largely untapped in terms of practical applications. Ultracold gases provide a unique platform to build up model systems of quantum many-body physics with highly controlled microscopic constituents. In this way, many-body quantum phenomena can be investigated with an unprecedented level of precision, and control and models that cannot be solved with present day computers may be studied using ultracold gases as a quantum simulator.This book addresses the need for a comprehensive description of the most important advanced experimental methods and techniques that have been developed along with the theoretical framework in a clear and applicable format. The focus is on methods that are especially crucial in probing and understanding the many-body nature of the quantum phenomena in ultracold gases and most topics are covered both from a theoretical and experimental viewpoint, with interrelated chapters written by experts from both sides of research.Graduate students and post-doctoral researches working on ultracold gases will benefit from this book, as well as researchers from other fields who wish to gain an overview of the recent fascinating developments in this very dynamically evolving field. Sufficient level of both detailed high level research and a pedagogical approach is maintained throughout the book so as to be of value to those entering the field as well as advanced researchers. Furthermore, both experimentalists and theorists will benefit from the book; close collaboration between the two are continuously driving the field to a very high level and will be strengthened to continue the important progress yet to be made in the field.
An Introduction To Quantum Spin Systems
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Author : John B. Parkinson
language : en
Publisher: Springer
Release Date : 2010-08-26
An Introduction To Quantum Spin Systems written by John B. Parkinson and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-08-26 with Science categories.
The topic of lattice quantum spin systems is a fascinating and by now well established branch of theoretical physics. Based on a set of lectures, this book has a level of detail missing from others, and guides the reader through the fundamentals of the field.
Linked Cluster Studies Of Quantum Lattice Models
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Author : Tyler Michelson Bryant
language : en
Publisher:
Release Date : 2007
Linked Cluster Studies Of Quantum Lattice Models written by Tyler Michelson Bryant and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with categories.
Study Of Heisenberg Models By Means Of Series Expansion Calculations
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Author : Tommaso Pardini
language : en
Publisher:
Release Date : 2009
Study Of Heisenberg Models By Means Of Series Expansion Calculations written by Tommaso Pardini and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with categories.
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