Theoretical Methods For Strongly Correlated Electrons
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Theoretical Methods For Strongly Correlated Electrons
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Author : David Sénéchal
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-05-09
Theoretical Methods For Strongly Correlated Electrons written by David Sénéchal 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 2006-05-09 with Science categories.
Focusing on the purely theoretical aspects of strongly correlated electrons, this volume brings together a variety of approaches to models of the Hubbard type - i.e., problems where both localized and delocalized elements are present in low dimensions. The chapters are arranged in three parts. The first part deals with two of the most widely used numerical methods in strongly correlated electrons, the density matrix renormalization group and the quantum Monte Carlo method. The second part covers Lagrangian, Functional Integral, Renormalization Group, Conformal, and Bosonization methods that can be applied to one-dimensional or weakly coupled chains. The third part considers functional derivatives, mean-field, self-consistent methods, slave-bosons, and extensions.
Theoretical Methods For Strongly Correlated Electrons
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Author : David Sénéchal
language : en
Publisher: Springer
Release Date : 2013-10-03
Theoretical Methods For Strongly Correlated Electrons written by David Sénéchal and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-03 with Science categories.
Focusing on the purely theoretical aspects of strongly correlated electrons, this volume brings together a variety of approaches to models of the Hubbard type - i.e., problems where both localized and delocalized elements are present in low dimensions. The chapters are arranged in three parts. The first part deals with two of the most widely used numerical methods in strongly correlated electrons, the density matrix renormalization group and the quantum Monte Carlo method. The second part covers Lagrangian, Functional Integral, Renormalization Group, Conformal, and Bosonization methods that can be applied to one-dimensional or weakly coupled chains. The third part considers functional derivatives, mean-field, self-consistent methods, slave-bosons, and extensions.
Strongly Correlated Systems
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Author : Adolfo Avella
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-11-01
Strongly Correlated Systems written by Adolfo Avella 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 2011-11-01 with Science categories.
The volume presents, for the very first time, an exhaustive collection of those modern theoretical methods specifically tailored for the analysis of Strongly Correlated Systems. Many novel materials, with functional properties emerging from macroscopic quantum behaviors at the frontier of modern research in physics, chemistry and materials science, belong to this class of systems. Any technique is presented in great detail by its own inventor or by one of the world-wide recognized main contributors. The exposition has a clear pedagogical cut and fully reports on the most relevant case study where the specific technique showed to be very successful in describing and enlightening the puzzling physics of a particular strongly correlated system. The book is intended for advanced graduate students and post-docs in the field as textbook and/or main reference, but also for other researchers in the field who appreciates consulting a single, but comprehensive, source or wishes to get acquainted, in a as painless as possible way, with the working details of a specific technique.
Strongly Correlated Electrons In Two Dimensions
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Author : Sergey Kravchenko
language : en
Publisher: Jenny Stanford Publishing
Release Date : 2017-02-13
Strongly Correlated Electrons In Two Dimensions written by Sergey Kravchenko and has been published by Jenny Stanford Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-02-13 with Condensed matter categories.
In the last three decades, strongly correlated 2D electron systems have garnered scientific interest because of their unique and often unpredictable properties. One of the many examples is the metallic state and the metal-insulator transition discovered in 2D semiconductors--phenomena that cannot occur in non-interacting systems. This discovery is important in modern condensed matter physics, for which theoretical methods are still poorly developed. This book details cutting-edge research in experimental and theoretical physics of strongly correlated electron systems by leading researchers in the field.
Exactly Solvable Models Of Strongly Correlated Electrons
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Author : Vladimir E. Korepin
language : en
Publisher: World Scientific
Release Date : 1994
Exactly Solvable Models Of Strongly Correlated Electrons written by Vladimir E. Korepin and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Technology & Engineering categories.
Systems of strongly correlated electrons are at the heart of recent developments in condensed matter theory. They have applications to phenomena like high-c superconductivity and the fractional quantum hall effect. Analytical solutions to such models, though mainly limited to one spatial dimension, provide a complete and unambiguous picture of the dynamics involved. This volume is devoted to such solutions obtained using the Bethe Ansatz, and concentrates on the most important of such models, the Hubbard model. The reprints are complemented by reviews at the start of each chapter and an extensive bibliography.
Hubbard Operators In The Theory Of Strongly Correlated Electrons
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Author : S. G. Ovchinnikov
language : en
Publisher: Imperial College Press
Release Date : 2004
Hubbard Operators In The Theory Of Strongly Correlated Electrons written by S. G. Ovchinnikov and has been published by Imperial College Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Science categories.
This book provides the first systematic discourse on a very peculiarapproach to the theory of strongly correlated systems. HubbardX-operators have been known for a long time but have not been widelyused because of their awkward algebra. The book shows that it ispossible to deal with X-operators even in the general multilevel localeigenstate system, and not just in the case of the nondegenerateHubbard model. X-operators provide the natural language for describingquasiparticles in the Hubbard subbands with unusual doping andtemperature-dependent band structures.
Lectures On The Physics Of Strongly Correlated Systems Xiv
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Author : Adolfo Avella
language : en
Publisher: American Institute of Physics
Release Date : 2011-01-21
Lectures On The Physics Of Strongly Correlated Systems Xiv written by Adolfo Avella and has been published by American Institute of Physics this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-01-21 with Technology & Engineering categories.
The volume contains the lectures delivered at the XIV Training Course in the Physics of Strongly Correlated Systems, held in Vietri sul Mare (Salerno) Italy, in October 2009. The project of the meeting was to promote the formation of young scientists by means of training through research. These features are reflected in the book: the lectures are up-to-date monographs of relevant subjects in the field of Condensed Matter Physics. Contributions include: Electronic Structure of Strongly Correlated Materials (Electronic structure calculations in one-electron approximation; Hubbard model in Dynamical Mean-Field Theory (DMFT); Electronic structure calculations for real materials by LDA+DMFT method); Computational Studies of Quantum Spin Systems (Quantum spin models, their ground states and quantum phase transitions; Classical phase transitions, Monte Carlo simulations, and finite-size scaling; Exact diagonalization methods; Quantum Monte Carlo simulations and the Stochastic Series Expansion method; Survey of related computational methods); Dynamical Mean-Field Theory of Electronic Correlations in Models and Materials (Mean-field theories for many-body systems; Lattice fermions in the limit of high dimensions; Dynamical mean-field theory for correlated lattice fermions; The Mott-Hubbard Metal-Insulator Transition; Electronic correlations and disorder; Theory of electronic correlations in materials; Kinks in the dispersion of strongly correlated electron systems).
Finite Size Effects In Correlated Electron Models Exact Results
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Author : Andrei Zvyagin
language : en
Publisher: World Scientific
Release Date : 2005-05-25
Finite Size Effects In Correlated Electron Models Exact Results written by Andrei Zvyagin and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-05-25 with Science categories.
The book presents exact results for one-dimensional models (including quantum spin models) of strongly correlated electrons in a comprehensive and concise manner. It incorporates important results related to magnetic and hybridization impurities in electron hosts and contains exact original results for disordered ensembles of impurities in interacting systems. These models describe a number of real low-dimensional electron systems that are widely used in nanophysics and microelectronics.An important method of modern theoretical and mathematical physics — the Bethe's Ansatz (BA) — is introduced to readers. This book presents different forms of the BA for periodic and open quantum chains. Other forms dealt with are the co-ordinate BA, thermodynamic BA, nested BA, algebraic BA, and thermal BA. The book also contains a compact description of other theoretical methods such as scaling, conformal field theory, Abelian and non-Abelian bosonizations.The book is suitable for use as a textbook by graduate students in non-perturbative methods of low-dimensional quantum many-body theory. It will also be a useful source of reference for qualified physicists, as well as non-experts in low-dimensional physics, as it explores material necessary for further studies in the fields of exactly solvable quantum models and low-dimensional correlated electron systems.
Correlated Electrons In Quantum Matter
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Author : Peter Fulde
language : en
Publisher: World Scientific
Release Date : 2012
Correlated Electrons In Quantum Matter written by Peter Fulde and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Science categories.
"It intends to provide graduate students and researchers a comprehensive survey of electron correlations, weak and strong, in insulators, semiconductors and metals. This topic is a central one in condensed matter and beyond that in theoretical physics."--P. [4] of cover.
Lectures On The Physics Of Highly Correlated Electron Systems Ix
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Author : Adolfo Avella
language : en
Publisher: American Institute of Physics
Release Date : 2005-09-27
Lectures On The Physics Of Highly Correlated Electron Systems Ix written by Adolfo Avella and has been published by American Institute of Physics this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-09-27 with Science categories.
This book contains lectures on strongly correlated electron systems presented by eminent physicists. These lectures are up-to-date summaries of relevant subjects in the field of condensed matter physics. Contributions include: BCS theory of nodal superconductors; strongly correlated particle systems and composite operator methods; diagonalization- and numerical renormalization-group-based methods for interacting quantum systems; as well as phenomenological aspects of unconventional superconductivity.