Dynamical Mean Field Theory For Strongly Correlated Materials


Dynamical Mean Field Theory For Strongly Correlated Materials
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Dynamical Mean Field Theory For Strongly Correlated Materials


Dynamical Mean Field Theory For Strongly Correlated Materials
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Author : Volodymyr Turkowski
language : en
Publisher: Springer Nature
Release Date : 2021-04-22

Dynamical Mean Field Theory For Strongly Correlated Materials written by Volodymyr Turkowski and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-04-22 with Technology & Engineering categories.


​​This is the first book that provides a detailed summary of one of the most successful new condensed matter theories - dynamical mean-field theory (DMFT) - in both static and dynamical cases of systems of different sizes. DMFT is one of the most successful approaches to describe the physical properties of systems with strong electron-electron correlations such as bulk materials, multi-layers, surfaces, 2D materials and nanostructures in both metallic and insulating phases. Strongly correlated materials usually include partially-filled localized d- or f-orbitals, and DMFT takes into account crucial for these systems time-resolved interaction between electrons when they “meet” on one atom and occupy one of these orbitals. The First Part of the book covers the general formalism of DMFT as a many-body theory, followed by generalizations of the approach on the cases of finite systems and out-of-equilibrium regime. In the last Chapter of the First Part we discuss generalizations of the approach on the case when the non-local interactions are taken into account. The Second Part of the book covers methodologies of merging DMFT with ab initio static Density Functional Theory (DFT) and Time-Dependent DFT (TDDFT) approaches. Such combined DFT+DMFT and DMFT+TDDFT computational techniques allow one to include the effects of strong electron-electron correlations at the accurate ab initio level. These tools can be applied to complex multi-atom multi-orbital systems currently not accessible to DMFT. The book helps broad audiences of students and researchers from the theoretical and computational communities of condensed matter physics, material science, and chemistry to become familiar with this state-of-art approach and to use it for reaching a deeper understanding of the properties of strongly correlated systems and for synthesis of new technologically-important materials.



Electronic Structure Of Strongly Correlated Materials


Electronic Structure Of Strongly Correlated Materials
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Author : Vladimir Anisimov
language : en
Publisher:
Release Date : 2010

Electronic Structure Of Strongly Correlated Materials written by Vladimir Anisimov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with categories.


Electronic structure and physical properties of strongly correlated materials containing elements with partially filled 3d, 4d, 4f and 5f electronic shells is analyzed by Dynamical Mean-Field Theory (DMFT). DMFT is the most universal and effective tool used for the theoretical investigation of electronic states with strong correlation effects. In the present book the basics of the method are given and its application to various material classes is shown. The book is aimed at a broad readership: theoretical physicists and experimentalists studying strongly correlated systems. It also serves as a handbook for students and all those who want to be acquainted with fast developing filed of condensed matter physics.



Lectures On The Physics Of Strongly Correlated Systems Xiv


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).



Electronic Structure Of Strongly Correlated Materials


Electronic Structure Of Strongly Correlated Materials
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Author : Vladimir Anisimov
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-07-23

Electronic Structure Of Strongly Correlated Materials written by Vladimir Anisimov 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 2010-07-23 with Technology & Engineering categories.


Electronic structure and physical properties of strongly correlated materials containing elements with partially filled 3d, 4d, 4f and 5f electronic shells is analyzed by Dynamical Mean-Field Theory (DMFT). DMFT is the most universal and effective tool used for the theoretical investigation of electronic states with strong correlation effects. In the present book the basics of the method are given and its application to various material classes is shown. The book is aimed at a broad readership: theoretical physicists and experimentalists studying strongly correlated systems. It also serves as a handbook for students and all those who want to be acquainted with fast developing filed of condensed matter physics.



Dynamical Mean Field Theory


Dynamical Mean Field Theory
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Author : Jean-Marc Robin
language : en
Publisher: Lulu.com
Release Date : 2010

Dynamical Mean Field Theory written by Jean-Marc Robin and has been published by Lulu.com this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Science categories.


This book is a short introduction to the Dynamical Mean-Field Theory for strongly correlated electrons. Its purpose is to focus on various local decoupling schemes in order to derive a self-consistent approximation and to map the lattice problem onto an impurity problem. Hubbard, Holstein, and Falicov-Kimball models are mainly used to provide examples of calculation. Numerous basic c/c++ programs are given along the book to develop confidence in computing actual numerical results.



Strongly Correlated Systems


Strongly Correlated Systems
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Author : Adolfo Avella
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-05

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 2013-04-05 with Science categories.


This volume presents, for the very first time, an exhaustive collection of those modern numerical 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 material 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 appreciate 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.



New Theoretical Approaches To Strongly Correlated Systems


New Theoretical Approaches To Strongly Correlated Systems
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Author : Alexei M. Tsvelik
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

New Theoretical Approaches To Strongly Correlated Systems written by Alexei M. Tsvelik 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.


For many years, the physics of strongly correlated systems was considered a theorists' playground, right at the border with pure mathematics, where physicists from the `real world' did not venture. The time has come, however, when healthy physics cannot exist without these techniques and results. Lectures on selected topics in the theory of strongly correlated systems are here presented by the leading experts in the field. Topics covered include a use of the form factor approach in low-dimensional systems, applications of quantum field theory to disorder, and dynamical mean field theory. The main divisions of the book deal with: I) Quantum Critical Points; (II) Strongly Correlated One-Dimensional Systems; (III) Strong Correlations and Disorder; and (IV) Dynamical Mean Field Theory.



Theoretical Methods For Strongly Correlated Electrons


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.



Dmft At 25 Infinite Dimensions


Dmft At 25 Infinite Dimensions
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Author : Eva Pavarini
language : en
Publisher: Forschungszentrum Jülich
Release Date : 2014

Dmft At 25 Infinite Dimensions written by Eva Pavarini and has been published by Forschungszentrum Jülich this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with categories.




Out Of Equilibrium Physics Of Correlated Electron Systems


Out Of Equilibrium Physics Of Correlated Electron Systems
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Author : Roberta Citro
language : en
Publisher: Springer
Release Date : 2018-07-26

Out Of Equilibrium Physics Of Correlated Electron Systems written by Roberta Citro and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-26 with Technology & Engineering categories.


This book is a wide-ranging survey of the physics of out-of-equilibrium systems of correlated electrons, ranging from the theoretical, to the numerical, computational and experimental aspects. It starts from basic approaches to non-equilibrium physics, such as the mean-field approach, then proceeds to more advanced methods, such as dynamical mean-field theory and master equation approaches. Lastly, it offers a comprehensive overview of the latest advances in experimental investigations of complex quantum materials by means of ultrafast spectroscopy.