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Dynamical Mean Field Theory For Strongly Correlated Materials
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Book Synopsis Dynamical Mean-Field Theory for Strongly Correlated Materials by : Volodymyr Turkowski
Download or read book Dynamical Mean-Field Theory for Strongly Correlated Materials written by Volodymyr Turkowski and published by Springer Nature. This book was released on 2021-04-22 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Electronic Structure of Strongly Correlated Materials by : Vladimir Anisimov
Download or read book Electronic Structure of Strongly Correlated Materials written by Vladimir Anisimov and published by . This book was released on 2010 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Electronic Structure of Strongly Correlated Materials by : Vladimir Anisimov
Download or read book Electronic Structure of Strongly Correlated Materials written by Vladimir Anisimov and published by Springer Science & Business Media. This book was released on 2010-07-23 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Dynamical Mean Field Theory by : Jean-Marc Robin
Download or read book Dynamical Mean Field Theory written by Jean-Marc Robin and published by Lulu.com. This book was released on 2010 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Lectures on the Physics of Strongly Correlated Systems XIV by : Adolfo Avella
Download or read book Lectures on the Physics of Strongly Correlated Systems XIV written by Adolfo Avella and published by American Institute of Physics. This book was released on 2011-01-21 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).
Book Synopsis New Theoretical Approaches to Strongly Correlated Systems by : Alexei M. Tsvelik
Download or read book New Theoretical Approaches to Strongly Correlated Systems written by Alexei M. Tsvelik and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Transport in Multilayered Nanostructures by :
Download or read book Transport in Multilayered Nanostructures written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis DMFT at 25: Infinite Dimensions by : Eva Pavarini
Download or read book DMFT at 25: Infinite Dimensions written by Eva Pavarini and published by Forschungszentrum Jülich. This book was released on 2014 with total page 459 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Out-of-Equilibrium Physics of Correlated Electron Systems by : Roberta Citro
Download or read book Out-of-Equilibrium Physics of Correlated Electron Systems written by Roberta Citro and published by Springer. This book was released on 2018-07-26 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Strongly Correlated Systems, Coherence And Entanglement by : J M P Carmelo
Download or read book Strongly Correlated Systems, Coherence And Entanglement written by J M P Carmelo and published by World Scientific. This book was released on 2007-07-12 with total page 612 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Interacting Electrons by : Richard M. Martin
Download or read book Interacting Electrons written by Richard M. Martin and published by Cambridge University Press. This book was released on 2016-06-30 with total page 843 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent progress in the theory and computation of electronic structure is bringing an unprecedented level of capability for research. Many-body methods are becoming essential tools vital for quantitative calculations and understanding materials phenomena in physics, chemistry, materials science and other fields. This book provides a unified exposition of the most-used tools: many-body perturbation theory, dynamical mean field theory and quantum Monte Carlo simulations. Each topic is introduced with a less technical overview for a broad readership, followed by in-depth descriptions and mathematical formulation. Practical guidelines, illustrations and exercises are chosen to enable readers to appreciate the complementary approaches, their relationships, and the advantages and disadvantages of each method. This book is designed for graduate students and researchers who want to use and understand these advanced computational tools, get a broad overview, and acquire a basis for participating in new developments.
Book Synopsis Modern Theories of Many-Particle Systems in Condensed Matter Physics by : Daniel C. Cabra
Download or read book Modern Theories of Many-Particle Systems in Condensed Matter Physics written by Daniel C. Cabra and published by Springer Science & Business Media. This book was released on 2012-01-05 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: Condensed matter systems where interactions are strong are inherently difficult to analyze theoretically. The situation is particularly interesting in low-dimensional systems, where quantum fluctuations play a crucial role. Here, the development of non-perturbative methods and the study of integrable field theory have facilitated the understanding of the behavior of many quasi one- and two-dimensional strongly correlated systems. In view of the same rapid development that has taken place for both experimental and numerical techniques, as well as the emergence of novel testing-grounds such as cold atoms or graphene, the current understanding of strongly correlated condensed matter systems differs quite considerably from standard textbook presentations. The present volume of lecture notes aims to fill this gap in the literature by providing a collection of authoritative tutorial reviews, covering such topics as quantum phase transitions of antiferromagnets and cuprate-based high-temperature superconductors, electronic liquid crystal phases, graphene physics, dynamical mean field theory applied to strongly correlated systems, transport through quantum dots, quantum information perspectives on many-body physics, frustrated magnetism, statistical mechanics of classical and quantum computational complexity, and integrable methods in statistical field theory. As both graduate-level text and authoritative reference on this topic, this book will benefit newcomers and more experienced researchers in this field alike.
Book Synopsis First Principles Approaches to Spectroscopic Properties of Complex Materials by : Cristiana Di Valentin
Download or read book First Principles Approaches to Spectroscopic Properties of Complex Materials written by Cristiana Di Valentin and published by Springer. This book was released on 2014-09-26 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: The series Topics in Current Chemistry presents critical reviews of the present and future trends in modern chemical research. The scope of coverage is all areas of chemical science including the interfaces with related disciplines such as biology, medicine and materials science. The goal of each thematic volume is to give the non-specialist reader, whether in academia or industry, a comprehensive insight into an area where new research is emerging which is of interest to a larger scientific audience. Each review within the volume critically surveys one aspect of that topic and places it within the context of the volume as a whole. The most significant developments of the last 5 to 10 years are presented using selected examples to illustrate the principles discussed. The coverage is not intended to be an exhaustive summary of the field or include large quantities of data, but should rather be conceptual, concentrating on the methodological thinking that will allow the non-specialist reader to understand the information presented. Contributions also offer an outlook on potential future developments in the field. Review articles for the individual volumes are invited by the volume editors. Readership: research chemists at universities or in industry, graduate students.
Book Synopsis Quantum Monte Carlo Methods by : James Gubernatis
Download or read book Quantum Monte Carlo Methods written by James Gubernatis and published by Cambridge University Press. This book was released on 2016-06-02 with total page 503 pages. Available in PDF, EPUB and Kindle. Book excerpt: Featuring detailed explanations of the major algorithms used in quantum Monte Carlo simulations, this is the first textbook of its kind to provide a pedagogical overview of the field and its applications. The book provides a comprehensive introduction to the Monte Carlo method, its use, and its foundations, and examines algorithms for the simulation of quantum many-body lattice problems at finite and zero temperature. These algorithms include continuous-time loop and cluster algorithms for quantum spins, determinant methods for simulating fermions, power methods for computing ground and excited states, and the variational Monte Carlo method. Also discussed are continuous-time algorithms for quantum impurity models and their use within dynamical mean-field theory, along with algorithms for analytically continuing imaginary-time quantum Monte Carlo data. The parallelization of Monte Carlo simulations is also addressed. This is an essential resource for graduate students, teachers, and researchers interested in quantum Monte Carlo techniques.
Book Synopsis From Atom Optics to Quantum Simulation by : Sebastian Will
Download or read book From Atom Optics to Quantum Simulation written by Sebastian Will and published by Springer Science & Business Media. This book was released on 2012-12-15 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis explores ultracold quantum gases of bosonic and fermionic atoms in optical lattices. The highly controllable experimental setting discussed in this work, has opened the door to new insights into static and dynamical properties of ultracold quantum matter. One of the highlights reported here is the development and application of a novel time-resolved spectroscopy technique for quantum many-body systems. By following the dynamical evolution of a many-body system after a quantum quench, the author shows how the important energy scales of the underlying Hamiltonian can be measured with high precision. This achievement, its application, and many other exciting results make this thesis of interest to a broad audience ranging from quantum optics to condensed matter physics. A lucid style of writing accompanied by a series of excellent figures make the work accessible to readers outside the rapidly growing research field of ultracold atoms.
Book Synopsis Optimised Projections for the Ab Initio Simulation of Large and Strongly Correlated Systems by : David D. O'Regan
Download or read book Optimised Projections for the Ab Initio Simulation of Large and Strongly Correlated Systems written by David D. O'Regan and published by Springer Science & Business Media. This book was released on 2011-09-24 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: Density functional theory (DFT) has become the standard workhorse for quantum mechanical simulations as it offers a good compromise between accuracy and computational cost. However, there are many important systems for which DFT performs very poorly, most notably strongly-correlated materials, resulting in a significant recent growth in interest in 'beyond DFT' methods. The widely used DFT+U technique, in particular, involves the addition of explicit Coulomb repulsion terms to reproduce the physics of spatially-localised electronic subspaces. The magnitude of these corrective terms, measured by the famous Hubbard U parameter, has received much attention but less so for the projections used to delineate these subspaces. The dependence on the choice of these projections is studied in detail here and a method to overcome this ambiguity in DFT+U, by self-consistently determining the projections, is introduced. The author shows how nonorthogonal representations for electronic states may be used to construct these projections and, furthermore, how DFT+U may be implemented with a linearly increasing cost with respect to system size. The use of nonorthogonal functions in the context of electronic structure calculations is extensively discussed and clarified, with new interpretations and results, and, on this topic, this work may serve as a reference for future workers in the field.
Book Synopsis Advances in Superconducting Infinite-Layer and Related Nickelates by : Matthias Hepting
Download or read book Advances in Superconducting Infinite-Layer and Related Nickelates written by Matthias Hepting and published by Frontiers Media SA. This book was released on 2022-11-17 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt:
