Cellular Dynamical Mean Field Theory Of The Holstein Polaron Problem

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Cellular Dynamical Mean Field Theory of the Holstein Polaron Problem

Author : Jean-Marc ROBIN
Publisher : Lulu.com
ISBN 13 : 1445222809
Total Pages : 54 pages
Book Rating : 4.4/5 (452 download)

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Book Synopsis Cellular Dynamical Mean Field Theory of the Holstein Polaron Problem by : Jean-Marc ROBIN

Download or read book Cellular Dynamical Mean Field Theory of the Holstein Polaron Problem written by Jean-Marc ROBIN and published by Lulu.com. This book was released on 2010-03-29 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Jean-Marc Robin
Publisher : Lulu.com
ISBN 13 : 1446638847
Total Pages : 166 pages
Book Rating : 4.4/5 (466 download)

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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.

Advances in Polaron Physics

Author : Alexandre S. Alexandrov
Publisher : Springer Science & Business Media
ISBN 13 : 3642018963
Total Pages : 171 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Advances in Polaron Physics by : Alexandre S. Alexandrov

Download or read book Advances in Polaron Physics written by Alexandre S. Alexandrov and published by Springer Science & Business Media. This book was released on 2009-10-03 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : G. Iadonisi
Publisher : IOS Press
ISBN 13 : 1614990174
Total Pages : 468 pages
Book Rating : 4.6/5 (149 download)

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Book Synopsis Polarons in Bulk Materials and Systems With Reduced Dimensionality by : G. Iadonisi

Download or read book Polarons in Bulk Materials and Systems With Reduced Dimensionality written by G. Iadonisi and published by IOS Press. This book was released on 2006-05-22 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Polarons

Author : David Emin
Publisher : Cambridge University Press
ISBN 13 : 0521519063
Total Pages : 231 pages
Book Rating : 4.5/5 (215 download)

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Book Synopsis Polarons by : David Emin

Download or read book Polarons written by David Emin and published by Cambridge University Press. This book was released on 2013 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: A distinctive introduction to the principles governing polaron science for experimental and theoretical graduate students and researchers.

Colossal Magnetoresistive Oxides

Author : Yoshinori Tokura
Publisher : CRC Press
ISBN 13 : 9789056992316
Total Pages : 384 pages
Book Rating : 4.9/5 (923 download)

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Book Synopsis Colossal Magnetoresistive Oxides by : Yoshinori Tokura

Download or read book Colossal Magnetoresistive Oxides written by Yoshinori Tokura and published by CRC Press. This book was released on 2000-05-30 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: The features and mechanism of Colossal Magnetoresistance, or CMR, in manganese oxides as well as device physics are highlighted in this book, with a focus on tunneling MR for some artificial structures. Underlying new science, such as tunable electron-lattice interaction in a metal and roles of orbital degrees of freedom in producing an unconventional metallic feature, is also discussed. The book provides a systematic exploration of the CMR materials and an extensive investigation of the electronic phenomena of those compounds by various experimental means.

Theory of the Spread of Epidemics and Movement Ecology of Animals

Author : V. M. (Nitant) Kenkre
Publisher : Cambridge University Press
ISBN 13 : 1108896529
Total Pages : 331 pages
Book Rating : 4.1/5 (88 download)

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Book Synopsis Theory of the Spread of Epidemics and Movement Ecology of Animals by : V. M. (Nitant) Kenkre

Download or read book Theory of the Spread of Epidemics and Movement Ecology of Animals written by V. M. (Nitant) Kenkre and published by Cambridge University Press. This book was released on 2021-01-28 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: Exploiting powerful techniques from physics and mathematics, this book studies animal movement in ecology, with a focus on epidemic spread. Pulmonary syndrome is not only feared in epidemics of recent times, such as COVID-19, but is also characteristic of epidemics studied earlier such as Hantavirus. The Hantavirus is one of the book's central topics. Correlations between epidemic outbreaks and precipitation events like El Niño are analyzed and spatial reservoirs of infection in off-period of the epidemic, known as refugia, are studied. Predicted traveling waves of infection are successfully compared to field observations. Territoriality in scent-marking animals is presented, with parallels drawn with the theory of melting. The flocking and herding of birds and mammals are described in terms of collective excitations. For scientists interested in movement ecology and epidemic spread, this book provides effective solutions to long-standing problems.

Theory of Superconductivity

Author : A.S Alexandrov
Publisher : CRC Press
ISBN 13 : 1000687678
Total Pages : 275 pages
Book Rating : 4.0/5 (6 download)

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Book Synopsis Theory of Superconductivity by : A.S Alexandrov

Download or read book Theory of Superconductivity written by A.S Alexandrov and published by CRC Press. This book was released on 2003-10-01 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theory of Superconductivity: From Weak to Strong Coupling leads the reader from basic principles through detailed derivations and a description of the many interesting phenomena in conventional and high-temperature superconductors. The book describes physical properties of novel superconductors, in particular, the normal state, superconducting crit

The Hubbard Model

Author : Dionys Baeriswyl
Publisher : Springer Science & Business Media
ISBN 13 : 1489910425
Total Pages : 408 pages
Book Rating : 4.4/5 (899 download)

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Book Synopsis The Hubbard Model by : Dionys Baeriswyl

Download or read book The Hubbard Model written by Dionys Baeriswyl and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).

Introduction to Frustrated Magnetism

Author : Claudine Lacroix
Publisher : Springer Science & Business Media
ISBN 13 : 3642105890
Total Pages : 682 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Introduction to Frustrated Magnetism by : Claudine Lacroix

Download or read book Introduction to Frustrated Magnetism written by Claudine Lacroix and published by Springer Science & Business Media. This book was released on 2011-01-12 with total page 682 pages. Available in PDF, EPUB and Kindle. Book excerpt: The field of highly frustrated magnetism has developed considerably and expanded over the last 15 years. Issuing from canonical geometric frustration of interactions, it now extends over other aspects with many degrees of freedom such as magneto-elastic couplings, orbital degrees of freedom, dilution effects, and electron doping. Its is thus shown here that the concept of frustration impacts on many other fields in physics than magnetism. This book represents a state-of-the-art review aimed at a broad audience with tutorial chapters and more topical ones, encompassing solid-state chemistry, experimental and theoretical physics.

Polarons in Advanced Materials

Author : Alexandre S. Alexandrov
Publisher : Springer Science & Business Media
ISBN 13 : 1402063482
Total Pages : 672 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Polarons in Advanced Materials by : Alexandre S. Alexandrov

Download or read book Polarons in Advanced Materials written by Alexandre S. Alexandrov and published by Springer Science & Business Media. This book was released on 2008-01-11 with total page 672 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Self-Trapped Excitons

Author : K.S. Song
Publisher : Springer Science & Business Media
ISBN 13 : 364285236X
Total Pages : 426 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis Self-Trapped Excitons by : K.S. Song

Download or read book Self-Trapped Excitons written by K.S. Song and published by Springer Science & Business Media. This book was released on 2013-03-08 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Introduction to Many-Body Physics

Author : Piers Coleman
Publisher : Cambridge University Press
ISBN 13 : 1316432025
Total Pages : 815 pages
Book Rating : 4.3/5 (164 download)

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Book Synopsis Introduction to Many-Body Physics by : Piers Coleman

Download or read book Introduction to Many-Body Physics written by Piers Coleman and published by Cambridge University Press. This book was released on 2015-11-26 with total page 815 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Concepts in Electron Correlation

Author : Alex C. Hewson
Publisher : Springer Science & Business Media
ISBN 13 : 9401002134
Total Pages : 385 pages
Book Rating : 4.4/5 (1 download)

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Book Synopsis Concepts in Electron Correlation by : Alex C. Hewson

Download or read book Concepts in Electron Correlation written by Alex C. Hewson and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: The NATO sponsored Advanced Research Workshop on "Concepts in Electron Correlation" took place on the Croatian island of Hvar during the period from the 29th of September to the 3rd of October, 2002. The topic of electron correlation is a fundamental one in the field of condensed matter, and one that is being very actively studied both experimentally and theoretically at the present time. The manifestations of electron cor relation are diverse, and play an important role in systems ranging from high temperature superconductors, heavy fermions, manganite compounds with colossal magnetoresistance, transition metal compounds with metal insulator transitions, to mesoscopic systems and quantum dots. The aim of the workshop was to provide an opportunity for a dialogue between exper imentalists and theoreticians to assess the current state of understanding, and to set an agenda for future work. There was also a follow-up workshop on the same topic where the presentations included more background and introductory material for younger researchers in the field. The papers presented in these proceedings clearly demonstrate the di versity of current research on electron correlation. They show that real progress is being made in characterising systems experimentally and in developing theoretical approaches for a quantitative comparison with ex periment. The more one learns, however, the more there is to understand, and many of the contributions help to map out the territory which has yet to be explored. We hope that the articles in this volume will be a stimulus for such future work.

Basic Aspects of the Quantum Theory of Solids

Author : Daniel I. Khomskii
Publisher : Cambridge University Press
ISBN 13 : 1139491369
Total Pages : 317 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Basic Aspects of the Quantum Theory of Solids by : Daniel I. Khomskii

Download or read book Basic Aspects of the Quantum Theory of Solids written by Daniel I. Khomskii and published by Cambridge University Press. This book was released on 2010-09-02 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aimed at graduate students and researchers, this book covers the key aspects of the modern quantum theory of solids, including up-to-date ideas such as quantum fluctuations and strong electron correlations. It presents in the main concepts of the modern quantum theory of solids, as well as a general description of the essential theoretical methods required when working with these systems. Diverse topics such as general theory of phase transitions, harmonic and anharmonic lattices, Bose condensation and superfluidity, modern aspects of magnetism including resonating valence bonds, electrons in metals, and strong electron correlations are treated using unifying concepts of order and elementary excitations. The main theoretical tools used to treat these problems are introduced and explained in a simple way, and their applications are demonstrated through concrete examples.

Physics of Manganites

Author : T.A. Kaplan
Publisher : Springer Science & Business Media
ISBN 13 : 0306470918
Total Pages : 296 pages
Book Rating : 4.3/5 (64 download)

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Book Synopsis Physics of Manganites by : T.A. Kaplan

Download or read book Physics of Manganites written by T.A. Kaplan and published by Springer Science & Business Media. This book was released on 2006-04-11 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This series of books, which is published at the rate of about one per year, addresses fundamental problems in materials science. The contents cover a broad range of topics from small clusters of atoms to engineering materials and involves chemistry, physics, materials science and engineering, with length scales ranging from Ångstroms up to millimeters. The emphasis is on basic science rather than on applications. Each book focuses on a single area of current interest and brings together leading experts to give an up to date discussion of their work and the work of others. Each article contains enough references that the interested reader can access the relevant literature. Thanks are given to the Center for Fundamental Materials Research at Michigan State University for supporting this series. M. F. Thorpe, Series Editor E mail: thorpe@pa. msu. edu V PREFACE This book records invited lectures given at the workshop on Physics of Manganites, held at Michigan State University, July 26 29, 1998. Doped manganites are an interesting class of compounds that show both metal insulator and ferromagnetic to paramagnetic transitions at the same temperature. This was discovered in the early 1950s by Jonker and van Santen and basic theoretical ideas were developed by Zener (1951), Anderson and Hasegawa (1955), and deGennes (1960) to explain these transitions and related interesting observations.

Handbook of Materials Modeling

Author : Sidney Yip
Publisher : Springer Science & Business Media
ISBN 13 : 1402032862
Total Pages : 2903 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Handbook of Materials Modeling by : Sidney Yip

Download or read book Handbook of Materials Modeling written by Sidney Yip and published by Springer Science & Business Media. This book was released on 2007-11-17 with total page 2903 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first reference of its kind in the rapidly emerging field of computational approachs to materials research, this is a compendium of perspective-providing and topical articles written to inform students and non-specialists of the current status and capabilities of modelling and simulation. From the standpoint of methodology, the development follows a multiscale approach with emphasis on electronic-structure, atomistic, and mesoscale methods, as well as mathematical analysis and rate processes. Basic models are treated across traditional disciplines, not only in the discussion of methods but also in chapters on crystal defects, microstructure, fluids, polymers and soft matter. Written by authors who are actively participating in the current development, this collection of 150 articles has the breadth and depth to be a major contributor toward defining the field of computational materials. In addition, there are 40 commentaries by highly respected researchers, presenting various views that should interest the future generations of the community. Subject Editors: Martin Bazant, MIT; Bruce Boghosian, Tufts University; Richard Catlow, Royal Institution; Long-Qing Chen, Pennsylvania State University; William Curtin, Brown University; Tomas Diaz de la Rubia, Lawrence Livermore National Laboratory; Nicolas Hadjiconstantinou, MIT; Mark F. Horstemeyer, Mississippi State University; Efthimios Kaxiras, Harvard University; L. Mahadevan, Harvard University; Dimitrios Maroudas, University of Massachusetts; Nicola Marzari, MIT; Horia Metiu, University of California Santa Barbara; Gregory C. Rutledge, MIT; David J. Srolovitz, Princeton University; Bernhardt L. Trout, MIT; Dieter Wolf, Argonne National Laboratory.