Dynamical Mean Field Theory For Strongly Correlated Materials

Author : Volodymyr Turkowski
Publisher : Springer Nature
Page : 393 pages
File Size : 53,8 Mb
Release : 2021-04-22
Category : Technology & Engineering
ISBN : 9783030649043

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Dynamical Mean-Field Theory for Strongly Correlated Materials by Volodymyr Turkowski Pdf

​​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.

Author : Vladimir Anisimov,Yuri Izyumov
Publisher : Springer Science & Business Media
Page : 298 pages
File Size : 42,9 Mb
Release : 2010-07-23
Category : Technology & Engineering
ISBN : 9783642048265

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Electronic Structure of Strongly Correlated Materials by Vladimir Anisimov,Yuri Izyumov Pdf

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.

Author : Adolfo Avella,Ferdinando Mancini
Publisher : Springer Science & Business Media
Page : 350 pages
File Size : 41,5 Mb
Release : 2013-04-05
Category : Science
ISBN : 9783642351068

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Strongly Correlated Systems by Adolfo Avella,Ferdinando Mancini Pdf

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.

Author : Jean-Marc Robin
Publisher : Lulu.com
Page : 166 pages
File Size : 54,8 Mb
Release : 2010
Category : Science
ISBN : 9781446638842

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Dynamical Mean Field Theory by Jean-Marc Robin Pdf

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.

Author : Vladimir Anisimov,Yuri Izyumov
Publisher : Unknown
Page : 128 pages
File Size : 41,5 Mb
Release : 2010
Category : Electronic
ISBN : 3642048684

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Electronic Structure of Strongly Correlated Materials by Vladimir Anisimov,Yuri Izyumov Pdf

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.

Author : Adolfo Avella,Ferdinando Mancini
Publisher : American Institute of Physics
Page : 0 pages
File Size : 54,7 Mb
Release : 2011-01-21
Category : Technology & Engineering
ISBN : 0735408513

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Lectures on the Physics of Strongly Correlated Systems XIV by Adolfo Avella,Ferdinando Mancini Pdf

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).

Author : Alexei M. Tsvelik
Publisher : Springer Science & Business Media
Page : 308 pages
File Size : 55,8 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789401008389

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New Theoretical Approaches to Strongly Correlated Systems by Alexei M. Tsvelik Pdf

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.

Author : Naoto Nagaosa
Publisher : Springer Science & Business Media
Page : 188 pages
File Size : 55,7 Mb
Release : 1999-09-20
Category : Science
ISBN : 3540659811

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Quantum Field Theory in Strongly Correlated Electronic Systems by Naoto Nagaosa Pdf

In this book the author extends the concepts introduced in his Quantum Field Theory in Condensed Matter Physics to situations in which the strong electronic correlations are crucial for the understanding of the observed phenomena. Starting from a model field theory to illustrate the basic ideas, more complex systems are analyzed in turn. A special chapter is devoted to the description of antiferromagnets, doped Mott insulators, and quantum Hall liquids from the point of view of gauge theory.

Author : Adolfo Avella,Ferdinando Mancini
Publisher : Springer
Page : 0 pages
File Size : 41,8 Mb
Release : 2016-09-22
Category : Science
ISBN : 3662505932

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Strongly Correlated Systems by Adolfo Avella,Ferdinando Mancini Pdf

The continuous evolution and development of experimental techniques is at the basis of any fundamental achievement in modern physics. Strongly correlated systems (SCS), more than any other, need to be investigated through the greatest variety of experimental techniques in order to unveil and crosscheck the numerous and puzzling anomalous behaviors characterizing them. The study of SCS fostered the improvement of many old experimental techniques, but also the advent of many new ones just invented in order to analyze the complex behaviors of these 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. The volume presents a representative collection of the modern experimental techniques specifically tailored for the analysis of strongly correlated 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 any other researcher 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.

Author : Igor V. Lerner,Boris L. Althsuler,Vladimir I. Fal'ko,Thierry Giamarchi
Publisher : Springer Science & Business Media
Page : 405 pages
File Size : 54,5 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789401005302

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Strongly Correlated Fermions and Bosons in Low-Dimensional Disordered Systems by Igor V. Lerner,Boris L. Althsuler,Vladimir I. Fal'ko,Thierry Giamarchi Pdf

The physics of strongly correlated fermions and bosons in a disordered envi ronment and confined geometries is at the focus of intense experimental and theoretical research efforts. Advances in material technology and in low temper ature techniques during the last few years led to the discoveries of new physical of atomic gases and a possible metal phenomena including Bose condensation insulator transition in two-dimensional high mobility electron structures. Situ ations were the electronic system is so dominated by interactions that the old concepts of a Fermi liquid do not necessarily make a good starting point are now routinely achieved. This is particularly true in the theory of low dimensional systems such as carbon nanotubes, or in two dimensional electron gases in high mobility devices where the electrons can form a variety of new structures. In many of these sys tems disorder is an unavoidable complication and lead to a host of rich physical phenomena. This has pushed the forefront of fundamental research in condensed matter towards the edge where the interplay between many-body correlations and quantum interference enhanced by disorder has become the key to the understand ing of novel phenomena.

Author : Roberta Citro,Ferdinando Mancini
Publisher : Springer
Page : 190 pages
File Size : 41,9 Mb
Release : 2018-07-26
Category : Technology & Engineering
ISBN : 9783319949567

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Out-of-Equilibrium Physics of Correlated Electron Systems by Roberta Citro,Ferdinando Mancini Pdf

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.

Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 50,9 Mb
Release : 2024-06-30
Category : Electronic
ISBN : 9781783268597

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Transport in Multilayered Nanostructures by Anonim Pdf

Author : Eva Pavarini,Erik Koch,Ulrich Schollwöck
Publisher : Forschungszentrum Jülich
Page : 562 pages
File Size : 53,8 Mb
Release : 2013
Category : Electronic
ISBN : 9783893368846

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Emergent Phenomena in Correlated Matter by Eva Pavarini,Erik Koch,Ulrich Schollwöck Pdf

Author : Eva Pavarini,Erik Koch,Dieter Vollhardt,Alexander Lichtenstein
Publisher : Forschungszentrum Jülich
Page : 459 pages
File Size : 46,7 Mb
Release : 2014
Category : Electronic
ISBN : 9783893369539

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DMFT at 25: Infinite Dimensions by Eva Pavarini,Erik Koch,Dieter Vollhardt,Alexander Lichtenstein Pdf

Author : J M P Carmelo,J M B Lopes Dos Santos,Vitor Joao Rocha Vieira,Pedro Sacramento
Publisher : World Scientific
Page : 612 pages
File Size : 43,8 Mb
Release : 2007-07-12
Category : Technology & Engineering
ISBN : 9789814475839

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Strongly Correlated Systems, Coherence And Entanglement by J M P Carmelo,J M B Lopes Dos Santos,Vitor Joao Rocha Vieira,Pedro Sacramento Pdf

This volume presents a collection of review papers on recent work in the connected areas of strongly correlated systems, the effects of coherence on macroscopic systems, and entanglement in quantum systems. These areas have attracted considerable interest due to their complexity and associated unexpected nontrivial phenomena, and also due to their potential applications in various fields, from materials science to information technology. The coverage includes strongly correlated electronic systems such as low-dimensional complex materials, ordered and disordered spin systems, and aspects of the physics of manganites and graphene, both in equilibrium and far from equilibrium.