Cellular Dynamical Mean Field Theory Of The Holstein Polaron Problem
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Author | : Jean-Marc ROBIN |
Publisher | : Lulu.com |
Total Pages | : 54 |
Release | : 2010-03-29 |
Genre | : Science |
ISBN | : 1445222809 |
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.
Author | : Jean-Marc ROBIN |
Publisher | : Lulu.com |
Total Pages | : 158 |
Release | : 2009-05-02 |
Genre | : Science |
ISBN | : 1409270262 |
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.
Author | : Jean-Marc Robin |
Publisher | : Lulu.com |
Total Pages | : 166 |
Release | : 2010 |
Genre | : Science |
ISBN | : 1446638847 |
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 | : Alexandre S. Alexandrov |
Publisher | : Springer Science & Business Media |
Total Pages | : 171 |
Release | : 2009-10-03 |
Genre | : Science |
ISBN | : 3642018963 |
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.
Author | : G. Iadonisi |
Publisher | : IOS Press |
Total Pages | : 468 |
Release | : 2006-05-22 |
Genre | : Science |
ISBN | : 1614990174 |
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.
Author | : David Emin |
Publisher | : Cambridge University Press |
Total Pages | : 231 |
Release | : 2013 |
Genre | : Science |
ISBN | : 0521519063 |
A distinctive introduction to the principles governing polaron science for experimental and theoretical graduate students and researchers.
Author | : Yoshinori Tokura |
Publisher | : CRC Press |
Total Pages | : 384 |
Release | : 2000-05-30 |
Genre | : Science |
ISBN | : 9789056992316 |
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.
Author | : Tze-Chien Sum |
Publisher | : John Wiley & Sons |
Total Pages | : 312 |
Release | : 2019-03-25 |
Genre | : Technology & Engineering |
ISBN | : 3527341110 |
Real insight from leading experts in the field into the causes of the unique photovoltaic performance of perovskite solar cells, describing the fundamentals of perovskite materials and device architectures. The authors cover materials research and development, device fabrication and engineering methodologies, as well as current knowledge extending beyond perovskite photovoltaics, such as the novel spin physics and multiferroic properties of this family of materials. Aimed at a better and clearer understanding of the latest developments in the hybrid perovskite field, this is a must-have for material scientists, chemists, physicists and engineers entering or already working in this booming field.
Author | : Claudine Lacroix |
Publisher | : Springer Science & Business Media |
Total Pages | : 682 |
Release | : 2011-01-12 |
Genre | : Science |
ISBN | : 3642105890 |
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.
Author | : Alexandre S. Alexandrov |
Publisher | : Springer Science & Business Media |
Total Pages | : 672 |
Release | : 2008-01-11 |
Genre | : Science |
ISBN | : 1402063482 |
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.