Cellular Dynamical Mean Field Theory Of The Holstein Polaron Problem
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Cellular Dynamical Mean Field Theory Of The Holstein Polaron Problem
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Author : Jean-Marc ROBIN
language : en
Publisher: Lulu.com
Release Date : 2010-03-29
Cellular Dynamical Mean Field Theory Of The Holstein Polaron Problem 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 2010-03-29 with Science categories.
We show how to set up a Cellular Dynamical Mean Field Theory for the Holstein's polaron problem using the exact solution of a cluster of n sites embedded in a Weiss's field. We show that a restricted basis, that allows excitations of phonons only for n sites at a time, reproduces exactly the equations of the n-site Dynamical Mean Field Theory, and enables to check the proposed decoupling scheme of the Green's functions via Exact Numerical Diagonalizations. We introduce a real space formulation of the Cellular Dynamical Mean Field Theory that applies to any lattice with or without periodic boundary conditions and that allows to partition the lattice into different kinds of clusters.
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.
Advances In Polaron Physics
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Author : Alexandre S. Alexandrov
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-10-03
Advances In Polaron Physics written by Alexandre S. Alexandrov 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 2009-10-03 with Science categories.
This book reviews recent developments in the field of polarons, starting with the basics and covering a number of active directions of research. It integrates theory and experimental results.
Polarons In Bulk Materials And Systems With Reduced Dimensionality
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Author : G. Iadonisi
language : en
Publisher: IOS Press
Release Date : 2006-05-22
Polarons In Bulk Materials And Systems With Reduced Dimensionality written by G. Iadonisi and has been published by IOS Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-05-22 with Science categories.
An enormous theoretical effort has been made to treat electron-phonon coupled systems, with particular emphasis on Many Body aspects for dense electron systems, taking into account continuum as well as lattice polaron effects. Treating such aspects of polaron theory has been made possible because of powerful Many Body techniques which include: Exact Diagonalization techniques, Quantum Monte Carlo approaches, Density Matrix renormalization group and Dynamical Mean Field Theory. All these advances in polaron theory needed to be accompanied by: (i) an equally important advance in material research which produced many new materials such as the high Tc cuprates, the manganites and nickelates and the fullerines; (ii) as well as significant advances in the refinement of experimental analysis and, in particular, the spectroscopic means such as Angel Resolved Photoemission Spectroscopy, X Ray Absorption Spectroscopy (EXAFS, XANES), Pulsed Neutron Diffraction measurements allowing to study the local dynamical lattice de-formations and optical spectroscopy including time resolved measurements. The scope and purpose of this publication is to review both these theoretical and experimental advances which occurred over the last few decades and to introduce the study of such systems, where both strong electron-electron correlations and large electron-phonon coupling strengths play important roles.
The Hubbard Model
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Author : Dionys Baeriswyl
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11
The Hubbard Model written by Dionys Baeriswyl 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 2013-11-11 with Science categories.
In the slightly more than thirty years since its formulation, the Hubbard model has become a central component of modern many-body physics. It provides a paradigm for strongly correlated, interacting electronic systems and offers insights not only into the general underlying mathematical structure of many-body systems but also into the experimental behavior of many novel electronic materials. In condensed matter physics, the Hubbard model represents the simplest theoret ical framework for describing interacting electrons in a crystal lattice. Containing only two explicit parameters - the ratio ("Ujt") between the Coulomb repulsion and the kinetic energy of the electrons, and the filling (p) of the available electronic band - and one implicit parameter - the structure of the underlying lattice - it appears nonetheless capable of capturing behavior ranging from metallic to insulating and from magnetism to superconductivity. Introduced originally as a model of magnetism of transition met als, the Hubbard model has seen a spectacular recent renaissance in connection with possible applications to high-Tc superconductivity, for which particular emphasis has been placed on the phase diagram of the two-dimensional variant of the model. In mathematical physics, the Hubbard model has also had an essential role. The solution by Lieb and Wu of the one-dimensional Hubbard model by Bethe Ansatz provided the stimulus for a broad and continuing effort to study "solvable" many-body models. In higher dimensions, there have been important but isolated exact results (e. g. , N agoaka's Theorem).
Polarons In Advanced Materials
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Author : Alexandre S. Alexandrov
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-01-11
Polarons In Advanced Materials written by Alexandre S. Alexandrov 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 2008-01-11 with Science categories.
This book first introduces a single polaron and describes recent achievements in analytical and numerical studies of polaron properties in different e-ph models. It then describes multi-polaron physics as well as many key physical properties of high-temperature superconductors, colossal magnetoresistance oxides, conducting polymers and molecular nanowires, which were understood with polarons and bipolarons.
Local Approximation Of The Holstein Polaron Problem
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Author : Jean-Marc ROBIN
language : en
Publisher: Lulu.com
Release Date : 2009-05-02
Local Approximation Of The Holstein Polaron Problem 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 2009-05-02 with Science categories.
We review the Dynamical Mean Field Theory of the Holstein Polaron Problem in order to compute the small polaron Green's functions. The Renormalized Perturbation Expansion (RPE) play a central role and allows to compute all the local and non local Green's functions for the electron and the small polaron, for finite or infinite size systems, with periodic or non periodic boundary conditions. We introduce a restricted basis for the phonons to study the decoupling scheme of the Green's functions in a Local Approximation via exact diagonalizations. As a bonus, we furnish all the C/C++ programs built step by step, from a pedagogical point of view.
Introduction To Many Body Physics
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Author : Piers Coleman
language : en
Publisher: Cambridge University Press
Release Date : 2015-11-26
Introduction To Many Body Physics written by Piers Coleman and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-11-26 with Science categories.
A modern, graduate-level introduction to many-body physics in condensed matter, this textbook explains the tools and concepts needed for a research-level understanding of the correlated behavior of quantum fluids. Starting with an operator-based introduction to the quantum field theory of many-body physics, this textbook presents the Feynman diagram approach, Green's functions and finite-temperature many-body physics before developing the path integral approach to interacting systems. Special chapters are devoted to the concepts of Fermi liquid theory, broken symmetry, conduction in disordered systems, superconductivity and the physics of local-moment metals. A strong emphasis on concepts and numerous exercises make this an invaluable course book for graduate students in condensed matter physics. It will also interest students in nuclear, atomic and particle physics.
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.
Self Trapped Excitons
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Author : K.S. Song
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-08
Self Trapped Excitons written by K.S. Song 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 2013-03-08 with Technology & Engineering categories.
Self-Trapped Excitons discusses the structure and evolution of the self-trapped exciton (STE) in a wide range of materials. It includes a comprehensive review of experiments and extensive tables of data. Emphasis is given throughout to the unity of the basic physics underlying various manifestations of self-trapping, with the theory being developed from a localized, atomistic perspective. The topics treated in detail in relation to STE relaxation include spontaneous symmetry breaking, lattice defect formation, radiation damage, and electronic sputtering.