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Author: Adolfo Avella
Publisher: American Institute of Physics
ISBN: 9780735409965
Category : Technology & Engineering
Languages : en
Pages : 0
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Book Description
The volume contains the lectures delivered at the “XV Training Course in the Physics of Strongly Correlated Systems”, held in Vietri sul Mare (Salerno) Italy, in October 2010. 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 monographies of relevant subjects in the field of Condensed Matter Physics. Contributions include: The Density Matrix Renormalization Group and its Time-Dependent Variants (Model Hamiltonians, Exact Diagonalization, Truncated Diagonalization: the Numerical, Renormalization Group idea, The Density Matrix Truncation: the kernel of the DMRG, The DMRG algorithm, When and why does the DMRG work?, The time-dependent DMRG, Alps DMRG). Strong Correlations in Solids: A Survey of Experimental Facts (Electrons in metals, Superconductivity, Low-dimensional physical systems). Static and Dynamic Variational Principles for Strongly Correlated Electron Systems (Models and variational methods, Static variational principle, Using the Ritz principle to construct approximations; Dynamical quantities; Self-energy-functional theory; Consistency, symmetry and systematics; Bath sites and dynamical mean-field theory).
Author: Adolfo Avella
Publisher: American Institute of Physics
ISBN: 9780735409965
Category : Technology & Engineering
Languages : en
Pages : 0
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Book Description
The volume contains the lectures delivered at the “XV Training Course in the Physics of Strongly Correlated Systems”, held in Vietri sul Mare (Salerno) Italy, in October 2010. 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 monographies of relevant subjects in the field of Condensed Matter Physics. Contributions include: The Density Matrix Renormalization Group and its Time-Dependent Variants (Model Hamiltonians, Exact Diagonalization, Truncated Diagonalization: the Numerical, Renormalization Group idea, The Density Matrix Truncation: the kernel of the DMRG, The DMRG algorithm, When and why does the DMRG work?, The time-dependent DMRG, Alps DMRG). Strong Correlations in Solids: A Survey of Experimental Facts (Electrons in metals, Superconductivity, Low-dimensional physical systems). Static and Dynamic Variational Principles for Strongly Correlated Electron Systems (Models and variational methods, Static variational principle, Using the Ritz principle to construct approximations; Dynamical quantities; Self-energy-functional theory; Consistency, symmetry and systematics; Bath sites and dynamical mean-field theory).
Author: Adolfo Avella
Publisher: Springer Science & Business Media
ISBN: 3642351069
Category : Science
Languages : en
Pages : 350
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Book Description
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:
Publisher:
ISBN:
Category : Energy dissipation
Languages : en
Pages : 0
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Book Description
Author: Federico Becca
Publisher: Cambridge University Press
ISBN: 1108547311
Category : Science
Languages : en
Pages : 287
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Book Description
Over the past several decades, computational approaches to studying strongly-interacting systems have become increasingly varied and sophisticated. This book provides a comprehensive introduction to state-of-the-art quantum Monte Carlo techniques relevant for applications in correlated systems. Providing a clear overview of variational wave functions, and featuring a detailed presentation of stochastic samplings including Markov chains and Langevin dynamics, which are developed into a discussion of Monte Carlo methods. The variational technique is described, from foundations to a detailed description of its algorithms. Further topics discussed include optimisation techniques, real-time dynamics and projection methods, including Green's function, reptation and auxiliary-field Monte Carlo, from basic definitions to advanced algorithms for efficient codes, and the book concludes with recent developments on the continuum space. Quantum Monte Carlo Approaches for Correlated Systems provides an extensive reference for students and researchers working in condensed matter theory or those interested in advanced numerical methods for electronic simulation.
Author: Eva Pavarini
Publisher: Forschungszentrum Jülich
ISBN: 9783893367962
Category :
Languages : en
Pages : 450
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Book Description
Author: G Baskaran
Publisher: World Scientific
ISBN: 9814569348
Category : Science
Languages : en
Pages : 444
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Book Description
This is the second in a series of miniworkshops and Adriatico conferences devoted to the exciting field of strongly correlated electron systems including quantum Hall effect, metal insulator transition, heavy fermions and high Tc superconductivity. In spite of enormous efforts made by physicists worldwide to solve these difficult problems, many important issues are still widely open and this topic remains the most active field in condensed matter physics. The review talks and reports on original research given by the experts in the field represent a state-of-the-art summary of this fast-moving field.
Author: Volodymyr Turkowski
Publisher: Springer Nature
ISBN: 3030649040
Category : Technology & Engineering
Languages : en
Pages : 393
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Book Description
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: Adolfo Avella
Publisher: American Inst. of Physics
ISBN: 9780735401945
Category : Technology & Engineering
Languages : en
Pages : 272
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Book Description
The papers were peer reviewed by a local panel. The objective of the meeting was to promote the progress of young scientists by means of training through research. The lectures are up-to-date monographs of relevant subjects in the field of condensed matter physics. Contributions include the following lectures: Electron-Phonon Interaction and Strong Correlations in High-Temperature Superconductors: One cannot avoid the unavoidable (The properties of the normal state and pairing mechanism in high-Tc superconductors, Forward scattering peak in the EPI, The FSP theory, The ARPES non-shift puzzle, Interesting predictions of the FSP theory); Strongly Correlated Electron Materials: Dynamical Mean-Field Theory and Electronic Structure (The basic principles of dynamical mean-field theory (DMFT), application of DMFT to the Mott transition, compare to recent spectroscopy, transport experiments; the key role of the quasiparticle coherence scale, transfers of spectral weight between low- and intermediate or high energies is emphasized); Monte Carlo Simulations of Quantum Systems with Global Updates (a model for doped antiferromagnets, first application of the hybrid loop algorithm, namely the t-Jmodel with 1/r2 interaction).
Author: Daniel C. Cabra
Publisher: Springer Science & Business Media
ISBN: 3642104487
Category : Technology & Engineering
Languages : en
Pages : 380
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Book Description
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.
Author: Christopher Mudry
Publisher: World Scientific Publishing Company
ISBN: 9814449121
Category : Science
Languages : en
Pages : 745
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Book Description
The aim of this book is to introduce a graduate student to selected concepts in condensed matter physics for which the language of field theory is ideally suited. The examples considered in this book are those of superfluidity for weakly interacting bosons, collinear magnetism, and superconductivity. Quantum phase transitions are also treated in the context of quantum dissipative junctions and interacting fermions constrained to one-dimensional position space. The style of presentation is sufficiently detailed and comprehensive that it only presumes familiarity with undergraduate physics.
